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Wyświetlanie 1-15 z 37
Tytuł:
Likelihood and quasi - likelihood estimation of transition probabilities
Autorzy:
Bakinowska, Ewa
Kala, Radosław
Powiązania:
https://bibliotekanauki.pl/articles/729736.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
likelihood estimation
quasi-likelihood estimation
transition probabilities
quasi-information matrix
Opis:
In the paper two approaches to the problem of estimation of transition probabilities are considered. The approach by McCullagh and Nelder [5], based on the independent model and the quasi-likelihood function, is compared with the approach based on the marginal model and the standard likelihood function. The estimates following from these two approaches are illustrated on a simple example which was used by McCullagh and Nelder.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2004, 24, 1; 77-84
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling air cargo market – a gravity method
Modelowanie rynku lotniczego transportu towarowego – metoda grawitacyjna
Autorzy:
Mączka, M.
Powiązania:
https://bibliotekanauki.pl/articles/213257.pdf
Data publikacji:
2015
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Lotnictwa
Tematy:
air transport
gravity model
maximum likelihood estimation
Opis:
The gravity method and its expansions in transport economics, analogical to Newton’s gravity law are not the most modern approach to demand estimation. They are, however, simple and applicable to the publicly available data as those of EUROSTAT or national statistics sources. Main assumption is that the trips (or in this case flows of cargo) are produced at an origin and “attracted” to destination according to some identifiable pattern. It is possible to suggest – but not ensure as in Newton’s Physics – these patterns, provided a complete list of socioeconomic data (GDP, population, ...) or other quantifiable conditions in the range (catchment) of all locations (nodes), combined with a series of corresponding flow volumes using a non-linear equation. Each variable of the explanatory side of the equation is equipped with a weight (in econometrics called a parameter). Due to non-linear form of the equation parameters are found using an Iterative calculation that is typically performed by the Maximum Likelihood Estimation (popularized by Ronald Fisher). Validity of calculations are checked using statistical measures of proportionate reduction in uncertainty.
Metoda grawitacyjna i jej inne wariacje w ekonomii transportu, będące analogią wobec newtonowskiego powszechnego prawa ciążenia, nie są najnowszym narzędziem do szacowania popytu. Są, natomiast, proste i możliwe do zastosowania mając do dyspozycji publicznie dostępne dane takie jak te pochodzące z EUROSTAT lub innych źródeł państwowych. Głównym założeniem metody jest to, że podróże (lub poziom przepływu towarów) są generowane w jednych lokalizacjach i są „przyciągane” do pozostałych lokalizacji zgodnie z pewnym identyfikowalnym wzorcem. Możliwe jest zaproponowanie – ale nie ustalenie jak w newtonowskiej fizyce – tych wzorców pod warunkiem, że jest dostępna pełna lista danych socjoekonomicznych (PKB, ludność, …) lub innych policzalnych warunków w zasięgu (strefie ciążenia) wszystkich lokalizacji (węzłów) powiązana z odpowiadającymi im poziomami przepływów przy użyciu funkcji nieliniowej. Każda ze zmiennych ulokowanych po stronie równania, która opisuje zjawisko (przepływy) jest wyposażona w wagę (w ekonometrii zwaną parametrem). Z powodu nieliniowej formy funkcji parametry są obliczane iteracyjnie, co jest najczęściej wykonywane metodą największej wiarygodności. Trafność dopasowania modelu jest sprawdzana metodami statystycznymi badającymi proporcje redukcji niepewności.
Źródło:
Prace Instytutu Lotnictwa; 2015, 2 (239); 23-29
0509-6669
2300-5408
Pojawia się w:
Prace Instytutu Lotnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lifetime distributions with wave-like bathtub hazard
Autorzy:
Guo, R.
Thiart, C.
Cui, Y.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069543.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
lifetime distribution
hazard
bathtub hazard
likelihood function
maximum likelihood estimation
Opis:
In this paper, we argue the necessity of dealing with lifetime distributions with wave-like bathtub hazard function. Four classes of wave-like bathtub hazards are investigated. For preparing maximum likelihood estimation of the hazard parameters, the first-order and second-order partial derivatives are derived.
Źródło:
Journal of Polish Safety and Reliability Association; 2011, 2, 1; 115--122
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Record data from Kies distribution and related statistical inferences
Autorzy:
Al-Olaimat, Nesreen M.
Bayoud, Husam A.
Raqab, Mohammad Z.
Powiązania:
https://bibliotekanauki.pl/articles/1917056.pdf
Data publikacji:
2021-12-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
Bayesian estimates
Kies distribution
maximum likelihood estimation
records
Opis:
The Kies probability model was proposed as an alternative to the extendedWeibull models as it provides a more efficient fit to some real-life data sets in comparison to the aforementioned models. The paper proposes classical and Bayesian inferences for the Kies distribution based on records. Maximum likelihood estimates are studied jointly with asymptotic and bootstrap confidence intervals. Moreover, Bayes estimates, along with credible intervals are discussed assuming squared and LINEX loss functions. The proposed estimation methods have been investigated and compared via simulation studies. A real data set has been analysed for illustrative purposes.
Źródło:
Statistics in Transition new series; 2021, 22, 4; 153-170
1234-7655
Pojawia się w:
Statistics in Transition new series
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:
Bayesian multidimensional-matrix polynomial empirical regression
Autorzy:
Mukha, Vladimir S.
Powiązania:
https://bibliotekanauki.pl/articles/2050059.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
regression function
parameter estimation
maximum likelihood estimation
Bayesian estimation
multidimensional matrice
Opis:
The problem of parameter estimation for the polynomial in the input variables regression function is formulated and solved. The input and output variables of the regression function are multidimensional matrices. The parameters of the regression function are assumed to be random independent multidimensional matrices with Gaussian distribution and known mean value and variance matrices. The solution to this problem is a multidimensional-matrix system of the linear algebraic equations in multidimensional-matrix unknown regression function parameters. We consider the particular cases of constant, affine and quadratic regression function, for which we have obtained formulas for parameter calculation. Computer simulation of the quadratic regression function is performed for the two-dimensional matrix input and output variables.
Źródło:
Control and Cybernetics; 2020, 49, 3; 291--314
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The length-biased power hazard rate distribution: Some properties and applications
Autorzy:
Mustafa, Abdelfattah
Khan, M. I.
Powiązania:
https://bibliotekanauki.pl/articles/2106877.pdf
Data publikacji:
2022-06-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
length-biased
power hazard rate distribution
maximum likelihood estimation
Opis:
In this article, the length-biased power hazard rate distribution has introduced and investigated several statistical properties. This distribution reports an extension of several probability distributions, namely: exponential, Rayleigh, Weibull, and linear hazard rate. The procedure of maximum likelihood estimation is taken for parameters. Finally, the applicability of the model is explored by three real data sets. To examine, the performance of the technique, a simulation study is extracted.
Źródło:
Statistics in Transition new series; 2022, 23, 2; 1-16
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparison study on a new five-parameter generalized Lindley distribution with its sub-models
Autorzy:
Tharshan, Ramajeyam
Wijekoon, Pushpakanthie
Powiązania:
https://bibliotekanauki.pl/articles/1363562.pdf
Data publikacji:
2020-06-05
Wydawca:
Główny Urząd Statystyczny
Tematy:
Lindley distribution
mixture distributions
size-biased distributions
maximum likelihood estimation
Opis:
In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the lengthbiased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.
Źródło:
Statistics in Transition new series; 2020, 21, 2; 89-117
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Beta transmuted Lomax distribution with applications
Autorzy:
Hurairah, Ahmed
Alabid, Abdelhakim
Powiązania:
https://bibliotekanauki.pl/articles/1363592.pdf
Data publikacji:
2020-06-05
Wydawca:
Główny Urząd Statystyczny
Tematy:
Lomax distribution
beta Lomax distribution
transmuted distribution
maximum likelihood estimation
Opis:
In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the finite sample performance of the estimators is assessed by simulation. Finally, the authors demonstrate the usefulness of the new distribution in analysing positive data.
Źródło:
Statistics in Transition new series; 2020, 21, 2; 13-34
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalised Odd Frechet Family of Distributions: Properties and Applications
Autorzy:
Marganpoor, Shahdie
Ranjbar, Vahid
Alizadeh, Morad
Abdollahnezhad, Kamel
Powiązania:
https://bibliotekanauki.pl/articles/1058928.pdf
Data publikacji:
2020-09-04
Wydawca:
Główny Urząd Statystyczny
Tematy:
Frechet distribution
Wiebull distribution
structural properties
failure-time
maximum likelihood estimation
Opis:
A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters, and finally applications of the model to a real data set are presented to illustrate the usefulness of the proposed distribution.
Źródło:
Statistics in Transition new series; 2020, 21, 3; 109-128
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zero-modified Poisson-Modification of Quasi Lindley distribution and its application
Autorzy:
Tharshan, Ramajeyam
Wijekoon, Pushpakanthie
Powiązania:
https://bibliotekanauki.pl/articles/2156994.pdf
Data publikacji:
2022-12-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
over-dispersion
mixed Poisson distribution
PMQL distribution
zero modification
maximum likelihood estimation
Opis:
The Poisson-Modification of Quasi Lindley (PMQL) distribution is a newly introduced mixed Poisson distribution for over-dispersed count data. The aim of this article is to introduce the Zero-modified PMQL (ZMPMQL) distribution as an alternative to the PMQL distribution in order to accommodate zero inflation/deflation. The method of obtaining the ZMPMQL distribution jointly with some of its important properties, namely the probability mass and distribution functions, mean, variance, index of dispersion, and quantile function are presented. Furthermore, some of its special cases are discussed. The maximum likelihood (ML) estimation method is used for the unknown parameter estimation. A simulation study is conducted in order to evaluate the asymptotic theory of the ML estimation method and to show the superiority of the ML method over the method of moments estimation. The applicability of the introduced distribution is illustrated by using a real-world data set.
Źródło:
Statistics in Transition new series; 2022, 23, 4; 113-128
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new count data model applied in the analysis of vaccine adverse events and insurance claims
Autorzy:
Dar, Showkat Ahmad
Hassan, Anwar
Ahmad, Peer Bilal
Wani, Sameer Ahmad
Powiązania:
https://bibliotekanauki.pl/articles/1827552.pdf
Data publikacji:
2021-09-06
Wydawca:
Główny Urząd Statystyczny
Tematy:
poisson distribution
weighted exponential distribution
compound distribution
count data
maximum likelihood estimation
Opis:
The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model's parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets representing vaccine adverse events and insurance claims.
Źródło:
Statistics in Transition new series; 2021, 22, 3; 157-174
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The odd power generalized Weibull-G power series class of distributions: properties and applications
Autorzy:
Oluyede, Broderick
Moakofi, Thatayaone
Chipepa, Fastel
Powiązania:
https://bibliotekanauki.pl/articles/2034112.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Weibull-g distribution
power series
Poisson distribution
logarithmic distribution
maximum likelihood estimation
Opis:
We develop a new class of distributions, namely, the odd power generalizedWeibull-G power series (OPGW-GPS) class of distributions. We present some special classes of the proposed distribution. Structural properties, have also been derived. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Moreover, two real data examples on selected data sets, to illustrate the usefulness of the new class of distributions. The proposed model outperforms several non-nested models on selected data sets.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 89-108
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of COVID-19 and cancer data using new half-logistic generated family of distributions
Autorzy:
Khan, Sadaf
Tahir, Muhammad H.
Jamal, Farrukh
Powiązania:
https://bibliotekanauki.pl/articles/29127967.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
half-logistic distribution
generalized family
likelihood estimation
bio-medical data
Frechet distribution
Opis:
We focus on a specific sub-model of the proposed family that we call the new half logistic-Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new family is that it does not include any additional parameters and instead relies on the baseline parameter. Standard statistical formulas are used to show the forms of the density and failure rate functions, ordinary and incomplete moments with generating functions, and random variate generation. The maximum likelihood estimation procedure is used to estimate the set of parameters. We conduct a simulation analysis to ensure that our calculations are converging with lower mean square error and biases. We use three real-life data sets to equate our model to well-established existing models. The proposed model outperforms the well-established four parameters beta Fréchet and exponentiated generalized Fréchet for some real- -life results, with three parameters such as half-logistic Fréchet, exponentiated Fréchet, Zografos–Balakrishnan gamma Fréchet, Topp–Leonne Fréchet, and Marshall–Olkin Fréchet and two-parameter classical Fréchet distribution.
Źródło:
Operations Research and Decisions; 2023, 33, 4; 71--95
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Aircraft dynamic model identification on the basis of flight data recorder registers
Autorzy:
Lasek, L.
Lichota, P.
Powiązania:
https://bibliotekanauki.pl/articles/115522.pdf
Data publikacji:
2013
Wydawca:
Fundacja na Rzecz Młodych Naukowców
Tematy:
Dimensional derivatives
estimation
Flight Data Recorder
Flight Dynamics
Maximum Likelihood Estimation
Levenberg-Marquardt
System Identification
Opis:
We investigate the problem of an aircraft dynamic model parametric identification using dimensional derivatives as an example. Identification is done in offline mode, in the time domain. Flight parameters used for identification are obtained from Flight Data Recorder, that register them during each scheduled flight. We investigate the possibility of application of Maximum Likelihood Estimation that belongs to the Output Error Methods class. The likelihood function is defined for n-dimensional multivariate normal distribution. Unknown covariance matrix is estimated with the use of measured data and output equation. Output equation is calculated with Runge–Kutta fourth order method. In order to find the cost function minimum we consider using Levenberg-Marquardt Algorithm, where derivatives are calculated with central difference formulas and small perturbations theory. Mathematical model of an aircraft is obtained through flight dynamics classical approach. Rigid body model of an aircraft is assumed. Coordinate Systems Transformations are done using Euler’s Rotation Theorem with angle order typical for flight dynamics. Equations of motion are obtained from Newtons Second Law of Motion in body fixed coordinate system Oxyz, that is located at aircraft’s center of gravity. Turbulence is modeled as a bias, and also is an object of identification. We implement this method in Matlab R2009b environment.
Źródło:
Challenges of Modern Technology; 2013, 4, 1; 16-20
2082-2863
2353-4419
Pojawia się w:
Challenges of Modern Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 37

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