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Tytuł:
Expectation properties of generalized order statistics based on the Gompertz-G family of distributions
Autorzy:
Alharbi, Yousef F.
Fawzy, Mohamad A.
Athar, Haseeb
Powiązania:
https://bibliotekanauki.pl/articles/27315313.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
generalized order statistics
expectation identities
Gompertz-G family of distributions
characterization
Opis:
Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.
Źródło:
Operations Research and Decisions; 2023, 33, 4; 1--14
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences
Autorzy:
Aijaz, Ahmad
Ain, S. Qurat ul
Afaq, Ahmad
Tripathi, Rajnee
Powiązania:
https://bibliotekanauki.pl/articles/2108223.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
compound technique
Poisson distribution
area-biased Ailamujia distribution
reliability analysis
order statistics
maximum likelihood estimator
Opis:
In this paper, a new Poisson area-biased Ailamujia distribution has been formulated to analyse count data. It was created by combining two distributions: the Poisson and areabiased Ailamujia distributions, using the compounding technique. Several distributional properties of the formulated distribution were studied. Its ageing characteristics were determined and expressed explicitly. A variety of diagrams were used to demonstrate the characteristics of the probability mass function (pmf) and the cumulative distribution function (cdf). The parameter of the developed model was estimated by employing the maximum likelihood estimation approach. Finally, two data sets were used to demonstrate the effectiveness of the investigated distribution.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 167-184
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relations for moments of generalised order statistics based on Weibull–G family of distributions
Autorzy:
Athar, Haseeb
Alharbi, Yousef F.
Fawzy, Mohamad A.
Powiązania:
https://bibliotekanauki.pl/articles/2204086.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
generalized order statistics
order statistics
record values
expectation identities
characterisation
Opis:
The Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.
Źródło:
Operations Research and Decisions; 2022, 32, 4; 17--31
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the improvement of paired ranked set sampling to estimate population mean
Autorzy:
Rehman, Syed Abdul
Shabbir, Javid
Powiązania:
https://bibliotekanauki.pl/articles/1827556.pdf
Data publikacji:
2021-09-06
Wydawca:
Główny Urząd Statystyczny
Tematy:
order statistics
ranked set sampling
relative efficiency
unbiased estimator
imperfect ranking
Opis:
In ecological and environmental sampling the quantification of units is either difficult or overly demanding in terms of the time, money, workload, it requires. For this reason efficient and cost-effective sampling methods need to be devised for data collecting. The most commonly used method for this purpose is the Ranked Set Sampling (RSS). In this paper, a sampling scheme called Improved Paired Ranked Set Sampling (IPRSS) is proposed to estimate the population mean. The performance of the proposed IPRSS is evaluated under perfect and imperfect rankings. A simulation study based on selected hypothetical distributions and a real-life data set showed that IPRSS is more precise than RSS, Paired RSS (PRSS) or Extreme RSS (ERSS).
Źródło:
Statistics in Transition new series; 2021, 22, 3; 193-205
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference
Autorzy:
Saran, Jagdish
Pushkarna, Narinder
Sehgal, Shikha
Powiązania:
https://bibliotekanauki.pl/articles/1917117.pdf
Data publikacji:
2021-12-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
progressively Type-II right censored order statistics
single moments
product moments
recurrence relations
power Lomax distribution
maximum likelihood estimation
Opis:
In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes ?? and all censoring schemes (R1, R2, ..., Rm) m ≤ n in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.
Źródło:
Statistics in Transition new series; 2021, 22, 4; 191-212
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Alternative approach to moments of order statistics from one-parameter Weibull distribution
Autorzy:
Rai, Piyush Kant
Sirohi, Anu
Powiązania:
https://bibliotekanauki.pl/articles/1358308.pdf
Data publikacji:
2020-03-23
Wydawca:
Główny Urząd Statystyczny
Tematy:
order statistics
survival function
moments
characteristic function
Opis:
The Weibull distribution is used to describe various observed failures of phenomena and widely used in survival analysis and reliability theory. Sometimes it is very difficult to compute moments of such distributions due to various reasons for e.g. analytical issues, multi parameter cases etc. This study presents the computation of the moments and the expected value of the product of order statistics in the sample from the one-parameter Weibull distribution. An alternative approach in connection to survival function is used to obtain these moments and expected values. In addition the characteristic function of the above distribution is also obtained in the form of gamma functions. Further an illustration is shown to find the first two moments and expected value of the product of order statistics by using this approach.
Źródło:
Statistics in Transition new series; 2020, 21, 1; 169-176
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some characterizations of a two-parameter Xgamma distribution
Autorzy:
Shakil, M.
Ahsanullah, M.
Powiązania:
https://bibliotekanauki.pl/articles/1031018.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Characterizations
Order Statistics
Record Values
Truncated Moment
Xgamma distribution
Opis:
The objective of this paper is establish some new characterization results of a two-parameter Xgamma distribution. We have first established our proposed characterization results by taking a relation between left truncated moment and failure rate function. Then, we have characterized the two-parameter Xgamma distribution by taking a relation between right truncated moment and reversed failure rate function. Finally, we have characterized it by order statistics and record values.
Źródło:
World Scientific News; 2020, 149; 1-22
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution
Autorzy:
Yadav, Abhimanyu Singh
Singh, S. K.
Singh, Umesh
Powiązania:
https://bibliotekanauki.pl/articles/1363558.pdf
Data publikacji:
2020-06-05
Wydawca:
Główny Urząd Statystyczny
Tematy:
moments and inverse moments
entropy measurements
order statistics
classical methods of estimation
Opis:
The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order statistics have been derived. Different estimation procedures have also been discussed to estimate the unknown parameters of the proposed probability distribution. The Monte Carlo simulation study has been conducted to compare the performances of the proposed estimators obtained through various methods of estimation. Finally, two real data sets have been used to show the applicability of the proposed model in a real-life scenario.
Źródło:
Statistics in Transition new series; 2020, 21, 2; 119-141
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm for arbitrary-order cumulant tensor calculation in a sliding window of data streams
Autorzy:
Domino, Krzysztof
Gawron, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/330468.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
high order cumulant
time series statistics
nonnormally distributed data
data streaming
kumulant wysokiego rzędu
szereg czasowy
baza danych rozproszona
strumień danych
Opis:
High-order cumulant tensors carry information about statistics of non-normally distributed multivariate data. In this work we present a new efficient algorithm for calculation of cumulants of arbitrary orders in a sliding window for data streams. We show that this algorithm offers substantial speedups of cumulant updates compared with the current solutions. The proposed algorithm can be used for processing on-line high-frequency multivariate data and can find applications, e.g., in on-line signal filtering and classification of data streams. To present an application of this algorithm, we propose an estimator of non-Gaussianity of a data stream based on the norms of high order cumulant tensors. We show how to detect the transition from Gaussian distributed data to non-Gaussian ones in a data stream. In order to achieve high implementation efficiency of operations on super-symmetric tensors, such as cumulant tensors, we employ a block structure to store and calculate only one hyper-pyramid part of such tensors.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 1; 195-206
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Pareto distribution based on generalized order statistics and associated inference
Autorzy:
Malik, Mansoor Rashid
Kumar, Devendra
Powiązania:
https://bibliotekanauki.pl/articles/1193074.pdf
Data publikacji:
2019-08-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
generalized order statistics
generalized Pareto distribution
single and product moment
recurrence relations
characterization and maximum likelihood estimation
Opis:
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.
Źródło:
Statistics in Transition new series; 2019, 20, 3; 57-79
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The issue of bullwhip-effect evaluating in supply chain management
Ocena efektu byczego bicza w zarządzaniu łańcuchem dostaw
Autorzy:
Vokhmyanina, A.
Zhuravskaya, M.
Osmólski, W.
Powiązania:
https://bibliotekanauki.pl/articles/361860.pdf
Data publikacji:
2018
Wydawca:
Wyższa Szkoła Logistyki
Tematy:
supply chain
uncertainty
bullwhip effect
variation in order sizes
regression coefficient
t-statistics
order size dynamics
łańcuch dostaw
niepewność
efekt byczego bicza
zmiany wielkości zamówienia
współczynnik regresji
statystyka t
wielkość dynamiczna partii
Opis:
Background: This article deals with the quantitative evaluation of the bullwhip effect in supply chains. A literature review was carried out and it was revealed that there is no general approach to quantifying the bullwhip effect. In the article, a more precise concept of the bullwhip effect is proposed from the point of view of the naturalscientific approach. Methods: A methodology for quantifying the bullwhip effect as a coefficient of linear regression was developed, characterising the dependence on the location of a link in supply chains, which can be used to adjust its operational work. Results: The stability of the proposed model is confirmed by the results of its implementation in production in several sectors of the economy, distinguished by the number of units and number of study periods, which demonstrates its potential for use in the distribution system. Conclusions: The main reason for the existence of the bullwhip effect is the unreliability of forecasts, which ultimately reduces the efficiency of inventory planning in supply chains and extensive logistics systems. Reducing the negative impact of the bullwhip effect can be achieved by using more advanced forecasting models and the quantitative assessment method used in this study, to adjust reserve stocks in supply chain links.
Wstęp: W pracy zostały postawione pytania dotyczące przeprowadzania oceny ilościowe efektu byczego bicza występującego w obrębie łańcucha dostaw. Wykonano przeglądu literatury, na podstawie którego stwierdzono, że nie ma jednorodnego podejścia do ujęcia ilościowego efektu byczego bicza. W związku z tym, zaproponowano bardziej precyzyjne podejście do tego efektu. Metody: W celu oceny ilościowej efektu byczego bicza stworzono metodę współczynnika regresji liniowej, charakteryzującą się zależnością między lokalizacjami ogniw w łańcuchu dostaw i która może być użyta do poprawy jego działania operacyjnego. Wyniki: Stabilność proponowanych modeli jest potwierdzona w postaci wyników ich wdrożenia do produkcji w różnych obszarach gospodarczych, różniących się liczbą jednostek oraz liczbą okresów poddanych badaniu, które dowodzą możliwości ich użycia w praktycznych działaniach firmy w obrębie systemu dystrybucyjnego. Wnioski: Głównym powodem występowania efektu byczego bicza jest brak trafności estymacji, która to wpływa na obniżenie efektywności zarządzania zapasem w obrębie łańcucha dostaw oraz dużych systemów logistycznych. Redukcję negatywnego wpływu efektu byczego bicza można osiągnąć przez zastosowanie bardziej zaawansowanych metod prognostycznych oraz metody oceny ilościowej, użytej w tej pracy w celu bardziej optymalnego zarządzania zapasami w obrębie łańcucha dostaw.
Źródło:
LogForum; 2018, 14, 2; 163-170
1734-459X
Pojawia się w:
LogForum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on VAR for the winner’s curse
Autorzy:
Palmowski, Zbigniew
Powiązania:
https://bibliotekanauki.pl/articles/569850.pdf
Data publikacji:
2017
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
Winner's curse
value at risk
order statistics
Opis:
This paper is an introduction to the concept and methodology of Value at Risk as a new tool for measuring exposure to the so-called winner’s curse risk. This expression was first used in the work of [Capen, Clapp, Campbell 1971] related to the oil companies, and it is usually introduced by the elementary example of the auctioning of a sealed jar with coins. The bidders cannot exactly know the value of the jar, they can just estimate it by looking at it from a distance. Usually the winner is the bidder who overestimates the value of jar the most, but actually he/she loses because of paying more than he/she receives in the jar. The same happens in insurance aggregators, but here the lowest price wins (we have then the so-called reversed auction). Traditionally, insurance companies have tried to offer insurance prices at the level of the expected value of the future costs (including all operational costs and expected profit) but now the winning company very likely is not getting enough premium to cover the assumed risk. In the case bankrupcy, this compnay will have to then face so-called winner’s curse. In this paper we analyse a few numerical examples
Źródło:
Ekonomia XXI Wieku; 2017, 3 (15); 124-134
2353-8929
Pojawia się w:
Ekonomia XXI Wieku
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
k-th rekord values from Dagum distribution and characterization
Autorzy:
Kumar, Devendra
Powiązania:
https://bibliotekanauki.pl/articles/729722.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
sample
order statistics
lower record values
single moments
product moments
recurrence relations
Dagum distribution
characterization
Opis:
In this study, we gave some new explicit expressions and recurrence relations satisfied by single and product moments of k-th lower record values from Dagum distribution. Next we show that the result for the record values from the Dagum distribution can be derived from our result as special case. Further, using a recurrence relation for single moments and conditional expectation of record values we obtain characterization of Dagum distribution. In addition, we use the established explicit expression of single moment to compute the mean, variance, coefficient of skewness and coefficient of kurtosis. Finally, we suggest two applications.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2016, 36, 1-2; 25-41
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transmuted Kumaraswamy Distribution
Autorzy:
Khan, Muhammad Shuaib
King, Robert
Hudson, Irene Lena
Powiązania:
https://bibliotekanauki.pl/articles/973543.pdf
Data publikacji:
2016
Wydawca:
Główny Urząd Statystyczny
Tematy:
Kumaraswamy distribution
moments
order statistics
parameter estimation
maximum likelihood estimation
Opis:
The Kumaraswamy distribution is the most widely applied statistical distribution in hydrological problems and many natural phenomena. We propose a generalization of the Kumaraswamy distribution referred to as the transmuted Kumaraswamy (T K w) distribution. The new transmuted distribution is developed using the quadratic rank transmutation map studied by Shaw et al. (2009). A comprehensive account of the mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The T K w distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.
Źródło:
Statistics in Transition new series; 2016, 17, 2; 183-210
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Moments of order statistics of the Generalized T Distribution
Autorzy:
Genç, Ali
Powiązania:
https://bibliotekanauki.pl/articles/729774.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
best linear unbiased estimates
generalized Kampé de Fériet
function
generalized t (GT) distribution
moments of order statistics
Opis:
We derive an explicit expression for the single moments of order statistics from the generalized t (GT) distribution. We also derive an expression for the product moment of any two order statistics from the same distribution. Then the location-scale estimating problem of a real data set is solved alternatively by the best linear unbiased estimates which are based on the moments of order statistics.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2015, 35, 1-2; 95-106
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 39

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