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Tytuł:
Characterisation of some generalised continuous distributions by doubly truncated moments
Autorzy:
Athar, Haseeb
Ahsanullah, Mohammad
Ali, Mohd. Almech
Powiązania:
https://bibliotekanauki.pl/articles/2204096.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
truncated moment
characterisation
probability distribution
Weibull
power function
Frechet
Pareto
Lindley
Opis:
The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.
Źródło:
Operations Research and Decisions; 2023, 33, 1; 1--19
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Development of the statistical model failure of orthotropic composite materials
Autorzy:
Kvit, Roman
Powiązania:
https://bibliotekanauki.pl/articles/24201506.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
stochasticity
probability of failure
orthotropic composite material
failure loading
integral probability distribution function
stochastyczność
prawdopodobieństwo uszkodzenia
ortotropowy materiał kompozytowy
całkowa funkcja rozkładu prawdopodobieństwa
Opis:
A composite plate (matrix and reinforcing elements) under conditions of plane deformation is considered. According to the elastic properties, the material of the plate is considered orthotropic with uniformly distributed defects-cracks that do not interact with each other. The geometric characteristics of defects are statistically independent random variables – the half-length and the orientation angle between the defect line and the axis of orthotropy with a larger Young’s modulus. The ratio for the failure loading integral probability distribution function of the composite was obtained. The dependencies of the researched composite probability of failure (reliability) for the different number of cracks (plate sizes), different types of loading and various values of the exponential distribution parameter are calculated and investigated graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 26--35
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New surface reflectance model with the combination of two cubic functions usage
Nowy model odbicia światła od powierzchni wykorzystujący kombinację dwóch funkcji sześciennych
Autorzy:
Romanyuk, Oleksandr
Zavalniuk, Yevhen
Pavlov, Sergii
Chekhmestruk, Roman
Bondarenko, Zlata
Koval, Tetiana
Kalizhanova, Aliya
Iskakova, Aigul
Powiązania:
https://bibliotekanauki.pl/articles/27315450.pdf
Data publikacji:
2023
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
bidirectional reflectance distribution function
cubic function
reflectance model
shading
combined function
dwukierunkowa funkcja rozkładu współczynnika odbicia
funkcja sześcienna
model współczynnika odbicia
cieniowanie
funkcja łączona
Opis:
In the article themodel of light reflection based on the combination of two cubicbidirectional reflectancedistribution functions is developed.The main components of color and the main requirements for reproducing the object`s glaresareanalyzed. The usage characteristicsof Cook-Torrance, Bagher, Oren-Nayar, coupled Shirley reflection models are described. The advantages and disadvantages of the highly productive Blinn-Phong modelare considered. The necessity of approximating the Blinn-Phong model by a function of low degree is justified. The characteristics of the cubic polynomial approximation of the Blinn-Phong model are determined. It was established that the main drawback of this approximation is a significant deviationof the function from the reference function in the glare’sattenuation zone. Thecombined function that combines two cubic functions is proposed. The first cubic function reproduces the glare’s epicenter, and the second replaces the specified function in the attenuation zone. A system of equationsfor calculating the coefficients of the second function was created. The formula for the connectionpointof two cubic functions is obtained. A graphof the developed combined model based on cubic functions is obtained. For the combined and original cubic functions a comparison of the maximum relative errors in the glare’sepicenterzone, the maximum absolute errors, and the relative errors at the inflection point was made. A three-dimensional plot of the absolute error of the combined cubic model from the Blinn-Phong modeldepending on the shininessand the angle value is built. Visualization results based on the combined and the original cubic functionsare compared. It is confirmed that the proposed reflection model increases the realismof glare formation in the attenuation zone. The resulting combined reflection model provides a highlyaccurate approximation of the Blinn-Phong model and is highly efficient because the third power function is used.
W artykule opracowano model odbicia światła oparty na kombinacji dwóch sześciennych dwukierunkowych funkcji rozkładu odbicia.Przeanalizowano główne składniki koloru i główne wymagania dotyczące odtwarzania odblasków obiektu. Opisano charakterystykę użytkowania modeli odbicia Cooka-Torrance'a, Baghera, Orena-Nayara i Shirleya. Rozważono zalety i wady wysoce wydajnego modelu Blinn-Phong. Uzasadniono konieczność aproksymacji modelu Blinna-Phonga funkcją niskiego stopnia. Określono charakterystykę wielomianu sześciennego aproksymującego model Blinna-Phonga. Ustalono, że główną wadą tej aproksymacji jest znaczne odchylenie funkcji od funkcji odniesienia wstrefie tłumienia olśnienia. Zaproponowano funkcję kombinowaną, która łączy dwie funkcje sześcienne. Pierwsza funkcja sześcienna odtwarza epicentrum olśnienia, a druga zastępuje określoną funkcję w strefie tłumienia. Stworzono układ równań do obliczania współczynników drugiej funkcji. Uzyskano wzór na punkt połączenia dwóch funkcji sześciennych. Uzyskano wykres opracowanego połączonego modelu opartego na funkcjach sześciennych. Dla połączonychi oryginalnych funkcji sześciennych dokonano porównania maksymalnych błędów względnych w strefie epicentrum olśnienia, maksymalnych błędów bezwzględnych i błędów względnych w punkcie przegięcia. Zbudowano trójwymiarowy wykres błędu bezwzględnego połączonego modelusześciennegoz modelu Blinna-Phonga w zależności od połysku i wartości kąta. Porównano wyniki wizualizacji oparte na połączonych i oryginalnych funkcjach sześciennych. Potwierdzono, że proponowany model odbicia zwiększa realizm powstawania odblasków w strefie tłumienia. Wynikowypołączony model odbicia zapewnia bardzo dokładne przybliżenie modelu Blinna-Phonga i jest bardzo wydajny, ponieważ używana jest funkcja trzeciej potęgi.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2023, 13, 3; 101--106
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparison of the method of moments estimator and maximum likelihood estimator for the success probability in the Fibonacci-type probability distribution
Autorzy:
Kwon, Yeil
Powiązania:
https://bibliotekanauki.pl/articles/2107135.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
Fibonacci probability distribution
generalized polynacci distribution
factorial moment generating function
method of moments
maximum likelihood estimator
Opis:
A Fibonacci-type probability distribution provides the probabilistic models for establishing stopping rules associated with the number of consecutive successes. It can be interpreted as a generalized version of a geometric distribution. In this article, after revisiting the Fibonaccitype probability distribution to explore its definition, moments and properties, we proposed numerical methods to obtain two estimators of the success probability: the method of moments estimator (MME) and maximum likelihood estimator (MLE). The ways both of them performed were compared in terms of the mean squared error. A numerical study demonsrated that the MLE tends to outperform the MME for most of the parameter space with various sample sizes.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 27-41
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A multi-source fluid queue based stochastic model of the probabilistic offloading strategy in a MEC system with multiple mobile devices and a single MEC server
Autorzy:
Zheng, Huan
Jin, Shunfu
Powiązania:
https://bibliotekanauki.pl/articles/2055156.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
mobile edge computing
probabilistic offloading strategy
multi-source fluid queue
birth and death process
cumulative distribution function
przetwarzanie mobilne
proces narodzin i śmierci
dystrybuanta
Opis:
Mobile edge computing (MEC) is one of the key technologies to achieve high bandwidth, low latency and reliable service in fifth generation (5G) networks. In order to better evaluate the performance of the probabilistic offloading strategy in a MEC system, we give a modeling method to capture the stochastic behavior of tasks based on a multi-source fluid queue. Considering multiple mobile devices (MDs) in a MEC system, we build a multi-source fluid queue to model the tasks offloaded to the MEC server. We give an approach to analyze the fluid queue driven by multiple independent heterogeneous finite-state birth-and-death processes (BDPs) and present the cumulative distribution function (CDF) of the edge buffer content. Then, we evaluate the performance measures in terms of the utilization of the MEC server, the expected edge buffer content and the average response time of a task. Finally, we provide numerical results with some analysis to illustrate the feasibility of the stochastic model built in this paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 1; 125--138
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative study of scaling parameters and research output of selected highly- and moderately-cited individual authors
Badanie porównawczych parametrów skalowania i dorobku badawczego wybranych wysoko i umiarkowanie cytowanych autorów
Autorzy:
Sangwal, Keshra
Powiązania:
https://bibliotekanauki.pl/articles/2086219.pdf
Data publikacji:
2022
Wydawca:
Politechnika Lubelska. Instytut Informatyki
Tematy:
citation analysis
citation distribution
coauthorship
h-type indices
Langmuir-type function
analiza cytowań
rozkład cytowań
współautorstwo
współczynniki typu h
funkcja typu Langmuira
Opis:
The real data of cumulative citations ln of selected nth paper of individual N papers published by some highly- and moderately-cited individual authors are analyzed to compare Hirsch and Hirsch-type indices h, h1, hf and hm, and cita-tion radii R and Rf from consideration of: (1) the number An of coauthors of the paper, (2) the normalization of citations ln and cumulative fraction lnf of citation of the nth paper by mean and median citations of the citations ln of all Nc cited papers, and (3) the determination of effective rank neff of the lnf citations. Analysis of the ln(n), lnf(n) and lnf(neff) data was also carried out by using a Langmuir-type function l = l0[1−Kn/(1+Kn)], where l denotes the citations ln and lnf of all cited Nc papers arranged in the decreasing order, is an effectiveness parameter, K is the so-called Langmuir con-stant, n denotes the rank n or neff of citations and l0 is the value of l when n or neff approaches zero. For a comparison of the publication output of different authors it was found that the hm index is more consistent than other indices, and it can be normalized to account for the publication career of different authors. However, Langmuir-type function is not ade-quate for comparison of the publication output of different authors because it describes the rank-order distribution pat-terns satisfactorily in terms of two parameters. To compare the publication output of different authors independent of their career length t, it is suggested to use scaling parameters h/t, hf/t and hm/t.
Przeanalizowano dane liczby cytowań kumulacyjnych ln wybranego n-tego artykułu spośródN indywidualnych artyku-łów opublikowanych przez niektórych wysoko i umiarkowanie cytowanych pojedynczych autorów. Do porównania użyto wskaźników Hirscha h i Hirscha-podobnych h1, hf i hm, oraz promienia cytowań R i Rfpod względem: 1) liczby Anwspółautorów artykułów, 2) normalizacji liczby cytowań lni ułamka kumulacyjnego lnf cytowania n-tego artykułu średnimi i środkowymi cytowaniami lnwszystkich cytowań Ncartykułów,3) określenia efektywnego rzędu neffcytowań lnf. Analiza danych ln(n), lnf(n) i lnf(neff) była prowadzona również wedle funkcji typu Langmuira l = l0[1−Kn/(1+Kn)], gdzie: l oznacza ln i lnf cytowania wszystkich cytowanych Ncartykułów umieszczonych w malejącym porządku, pa-rametr efektywności, K to tak zwana stała Langmuira, noznacza rząd n lub neffcytowań oraz l0 to wartość l, gdy n lub neffdąży do zera. Do porównania dorobku publikacyjnego różnych autorów stwierdzono, że wskaźnik hm jest bardziej miarodajny od pozostałych oraz, że można je znormalizować w celu uwzględnienia kariery publikacyjnej różnych auto-rów. Funkcja typu Langmuira nie jest właściwa jednak do porównania dorobku publikacyjnego różnych autorów po-nieważ opisuje ona w sposób zadowalający rozkład kolejności rzędu ich artykułówprzy pomocy dwóch parametrów. Do porównania dorobku publikacyjnego różnych autorów, niezależnego od długości ich kariery t, zaproponowano sto-sowanie parametrów skalowania h/t, hf/t and hm/t.
Źródło:
Journal of Computer Sciences Institute; 2022, 23; 152--164
2544-0764
Pojawia się w:
Journal of Computer Sciences Institute
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of MLP and RBF Neural Networks in the Task of Classifying the Diameters of Water Pipes
Autorzy:
Gvishiani, Zurab
Dawidowicz, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/2174907.pdf
Data publikacji:
2022
Wydawca:
Politechnika Koszalińska. Wydawnictwo Uczelniane
Tematy:
water distribution system
hydraulic calculation
selection of diameter
water pipe
artificial neural network
radial basis function
multilayer perceptron
Opis:
Hydraulic calculations of water distribution systems are currently performed using computer programs. In addition to the basic calculation procedure, modules responsible for evaluating the obtained calculation results are introduced more and more often into the programs. This article presents the results of research on artificial neural networks with a radial base function (RBF) and a multilayer perceptron (MLP), aimed at determining whether they can be used to model the relationship between the variables describing the computational section of the water distribution system and the diameter of the water pipe. The classification capabilities of the RBF and MLP networks were analyzed according to the number of neurons in the hidden layer of the network. A comparative analysis of RBF networks with multilayer perceptron (MLP) networks was performed. The results showed that the MLP networks have much better classification properties and are better suited for the task of assessing the selected diameters of the water pipes.
Źródło:
Rocznik Ochrona Środowiska; 2022, 24; 505--519
1506-218X
Pojawia się w:
Rocznik Ochrona Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized extended Marshall-Olkin family of lifetime distributions
Autorzy:
Goldoust, Mehdi
Mohammadpour, Adel
Powiązania:
https://bibliotekanauki.pl/articles/2034093.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
compound distribution
hazard rate function
lifetime distribution
maximum likelihood estimation
power series distribution
Opis:
We introduce a new generalized family of nonnegative continuous distributions by adding two extra parameters to a lifetime distribution, called the baseline distribution, by twice compounding a power series distribution. The new family, called the lifetime power series-power series family, has a serial arrangement of parallel structures, which extends the Marshall and Olkin structure. Four special models are discussed. A mathematical treatment of the new distributions is provided, including ordinary and incomplete moments, quantile, moment generating and mean residual functions. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Its applicability is also illustrated by means of two real data sets.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 55-74
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interval shrinkage estimation of the parameter of exponential distribution in the presence of outliers under loss functions
Autorzy:
Nasiri, Parviz
Powiązania:
https://bibliotekanauki.pl/articles/2108120.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
interval information
mean square error
shrinkage estimator
exponential distribution
uniform distribution
outliers
Linex loss function
Opis:
In this paper, we studied estimators based on an interval shrinkage with equal weights point shrinkage estimators for all individual target points θ¯ ∈ (θ0, θ1) for exponentially distributed observations in the presence of outliers drawn from a uniform distribution. Estimators obtained from both shrinkage and interval shrinkage were compared, showing that the estimators obtained via the interval shrinkage method perform better. Symmetric and asymmetric loss functions were also used to calculate the estimators. Finally, a numerical study and illustrative examples were provided to describe the results.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 65-78
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New polynomial exponential distribution: properties and applications
Autorzy:
Beghriche, Abdelfateh
Zeghdoudi, Halim
Raman, Vinoth
Chouia, Sarra
Powiązania:
https://bibliotekanauki.pl/articles/2108330.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
exponential distribution
Xgamma distribution
Lindley distribution
quantile function stochastic ordering
maximum-likelihood estimation
XLindley distribution
Opis:
The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the moment method, the maximum likelihood estimation, entropies and the limiting distribution. We demonstrate the new family's adaptability by applying it to a variety of real-world datasets.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 95-112
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical identification of Preisach distribution function including temperature effects
Autorzy:
Chelghoum, Leila
Powiązania:
https://bibliotekanauki.pl/articles/2086685.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
magnetic hysteresis
Preisach distribution function
Preisach model
soft ferromagnetic materials
temperature effect
Opis:
Magnetic hysteresis occurs in most electrical engineering devices once soft ferromagnetic materials are exposed to relatively high temperatures. According to several scientific studies, magnetic properties are strongly influenced by temperature. The development of models that can accurately describe the thermal effect on ferromagnetic materials is still an issue that inspires researchers. In this paper, the effect of temperature on magnetic hysteresis for ferromagnetic materials is investigated using a self-developed numerical method based on the Preisach distribution function identification. It employs a parameter depending on both temperature and the Curie temperature. This approach is of the macroscopic phenomenological type, where the variation of the magnetization (in direct connection with the Preisach triangle) is related to the observed macroscopic hysteretic behavior. The isotropic character of the material medium is predominant. The technique relies on a few experimental data extracted from the first magnetization curve provided by metallurgists. The ultimate goal is to provide a simple and robust magnetic behavior modeling tool for designers of electrical devices. Temperature is introduced at the stage of identifying the distribution function of the Preisach model. This method is validated by the agreement between the experimental data and the simulation results. The developed method is very accurate and efficient in modeling the hysteresis of ferromagnetic materials in engineering particularly for systems with ferromagnetic components and electromagnetic-thermal coupling.
Źródło:
Archives of Electrical Engineering; 2022, 71, 2; 297--309
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the characterisation of X-Lindley distribution by truncated moments. Properties and application
Autorzy:
Metiri, Farouk
Zeghdoudi, Halim
Ezzebsa, Abdelali
Powiązania:
https://bibliotekanauki.pl/articles/2175833.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
Lindley distribution
X-Lindley distribution
truncated moment
failure rate function
reversed failure rate function
characterisation of distributions
Opis:
Several papers introduce the new distributions and their applications, including, among others, those of Ducey and Gove [7], Grine and Zeghdoudi [8], Chouia et al. [5], Seghier et al. [11], Beghriche and Zeghdoudi [4], where characterisation of a probability distribution plays an important role in statistical science. Several researchers studied the characterisations of probability distributions. For example, Su and Huang [12] study the characterisations of distributions based on expectations. In addition, Nanda [10] studies the characterisations by average residual life and the failure rates of functions of absolutely continuous random variables. Ahmadi et al. [1] consider the estimation based on the left-truncated and right randomly censored data arising from a general family of distributions. On the other hand, Ahsanullah et al. [2, 3] present two characterisations of Lindley distribution, standard normal distribution, t-Student’s, exponentiated exponential, power function, Pareto, and Weibull distributions based on the relation of failure rate, reverse failure rate functions with left and right truncated moments. Recently, Haseeb and Yahia [9] studied truncated moments for two general classes of continuous distributions. In this paper, two characterisations of the X-Lindley distribution, introduced by Chouia and Zeghdoudi [5] have been studied. They are based on the failure, relation of the inverse failure rate functions with the left and right truncated moments, respectively. Section 2 gives some properties of X-Lindley distribution. Section 3 discusses the characterisation of general distribution by left truncated and failure rate function and then right truncated and reverse failure rate function. Section 4 studies the characterisation of X-Lindley distribution by using the relation between left/right truncated moment and failure/reverse failure rate function. Finally, an illustrative example of X-Lindley distribution with other one-parameter distributions is given to show the superiority and flexibility of this model.
Źródło:
Operations Research and Decisions; 2022, 32, 1; 99--109
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The atlas of inequality aversion: theory and empirical evidence on 55 countries from the Luxembourg Income Study database
Autorzy:
Kot, Stanisław Maciej
Paradowski, Piotr R.
Powiązania:
https://bibliotekanauki.pl/articles/22443170.pdf
Data publikacji:
2022
Wydawca:
Instytut Badań Gospodarczych
Tematy:
inequality aversion
Atkinson Index
income distribution
inequality
utility function
Opis:
Research background: In the distributive analysis, the constant relative inequality aversion utility function is a standard tool for ethical judgements of income distributions. The sole parameter ? of this function expresses a society?s aversion to inequality. However, the profession has not committed to the range of ?. When assessing inequality and other welfare characteristics, analysts assume an arbitrary level of ?, common to all countries and years. This assumption seems unjustified. Purpose of the article: This paper aims to estimate the parameter ? for each country and year individually using datasets from the Luxembourg Income Study Database in all available years, which dates back to the 1970s. Methods: We utilise the method of estimating ?, which assumes the generalised beta of the second kind distribution of incomes. The estimator of ? is derived from the mathematical condition of the existence of the social welfare function.  Findings & value added: We have elaborated an ?atlas? of  388 estimates of ? for 55 countries across time. Inequality aversion is country-year specific, with a minimum of 0.97 and a maximum of 3.8. Ninety per cent of all estimates are less than 2.5. Inequality aversion is negatively correlated with income inequality, but it is independent of economic development. Thus, inequality aversion appears as an additional dimension of the classical inequality-development relationship. This article contributes to solving a fundamental problem of Welfare Economics: directly measuring the social utility of income (welfare) function. The estimates of ? for 55 countries imply a complete knowledge of these countries' constant relative inequality aversion utility functions.
Źródło:
Equilibrium. Quarterly Journal of Economics and Economic Policy; 2022, 17, 2; 261-316
1689-765X
2353-3293
Pojawia się w:
Equilibrium. Quarterly Journal of Economics and Economic Policy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A method for estimating the probability distribution of the lifetime for new technical equipment based on expert judgement
Autorzy:
Andrzejczak, Karol
Bukowski, Lech
Powiązania:
https://bibliotekanauki.pl/articles/2038033.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne PAN
Tematy:
uncertainty
expert elicitation of lifetime
quantile function
Weibull distribution
Opis:
Managing the exploitation of technical equipment under conditions of uncertainty requires the use of probabilistic prediction models in the form of probability distributions of the lifetime of these objects. The parameters of these distributions are estimated with the use of statistical methods based on historical data about actual realizations of the lifetime of examined objects. However, when completely new solutions are introduced into service, such data are not available and the only possible method for the initial assessment of the expected lifetime of technical objects is expert methods. The aim of the study is to present a method for estimating the probability distribution of the lifetime for new technical facilities based on expert assessments of three parameters characterizing the expected lifetime of these objects. The method is based on a subjective Bayesian approach to the problem of randomness and integrated with models of classical probability theory. Due to its wide application in the field of maintenance of machinery and technical equipment, a Weibull model is proposed, and its possible practical applications are shown. A new method of expert elicitation of probabilities for any continuous random variable is developed. A general procedure for the application of this method is proposed and the individual steps of its implementation are discussed, as well as the mathematical models necessary for the estimation of the parameters of the probability distribution are presented. A practical example of the application of the developed method on specific numerical values is also presented.
Źródło:
Eksploatacja i Niezawodność; 2021, 23, 4; 757-769
1507-2711
Pojawia się w:
Eksploatacja i Niezawodność
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Agu-Eghwerido distribution, regression model and applications
Autorzy:
Agu, Friday Ikechukwu
Eghwerido, Joseph Thomas
Powiązania:
https://bibliotekanauki.pl/articles/1917110.pdf
Data publikacji:
2021-12-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
AGUE distribution
AGUE regression model
moment generating function
means residual function
hazard rate function
survival rate function
Opis:
Modelling lifetime data with simple mathematical representations and an ease in obtaining the parameter estimate of survival models are crucial quests pursued by survival researchers. In this paper, we derived and introduced a one-parameter distribution called the Agu-Eghwerido (AGUE) distribution with its simple mathematical representation. The regression model of the AGUE distribution was also presented. Several basic properties of the new distribution, such as reliability measures, mean residual function, median, moment generating function, skewness, kurtosis, coefficient of variation, and index of dispersion, were derived. The estimation of the proposed distribution parameter was based on the maximum likelihood estimation method. The real-life applications of the distribution were illustrated using two real lifetime negatively and positively skewed data sets. The new distribution provides a better fit than the Pranav, exponential, and Lindley distributions for the data sets. The simulation results showed that the increase in parameter values decreases the mean squared error value. Similarly, the mean estimate tends towards the true parameter value as the sample sizes increase.
Źródło:
Statistics in Transition new series; 2021, 22, 4; 59-76
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
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