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Wyszukujesz frazę "order statistics" wg kryterium: Temat


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:
Extremes in multivariate stationary normal sequences
Autorzy:
Wiśniewski, Mateusz
Powiązania:
https://bibliotekanauki.pl/articles/1339017.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stationary normal sequences
extreme order statistics
Opis:
This paper deals with a weak convergence of maximum vectors built on the base of stationary and normal sequences of relatively strongly dependent random vectors. The discussion concentrates on the normality of limits and extends some results of McCormick and Mittal [4] to the multivariate case.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 3; 375-379
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extreme order statistics in an equally correlated Gaussian array
Autorzy:
Wiśniewski, Mateusz
Powiązania:
https://bibliotekanauki.pl/articles/1340599.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
equally correlated
Gaussian array
extreme order statistics
Opis:
This paper contains the results concerning the weak convergence of d-dimensional extreme order statistics in a Gaussian, equally correlated array. Three types of limit distributions are found and sufficient conditions for the existence of these distributions are given.
Źródło:
Applicationes Mathematicae; 1993-1995, 22, 2; 193-200
1233-7234
Pojawia się w:
Applicationes Mathematicae
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:
Limit distributions of extreme order statistics
Autorzy:
Dziubdziela, W.
Powiązania:
https://bibliotekanauki.pl/articles/748619.pdf
Data publikacji:
1977
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
extreme order statistics
central limit theorem
strong mixing condition
Opis:
Artykuł nie zawiera streszczenia
MR0482946
Źródło:
Mathematica Applicanda; 1977, 5, 9
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characteristic properties of generalized order statistics from exponential distributions
Autorzy:
Kamps, Udo
Gather, Ursula
Powiązania:
https://bibliotekanauki.pl/articles/1339111.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
aging properties
generalized order statistics
exponential distribution
spacings
characterization
Opis:
Exponential distributions are characterized by distributional properties of generalized order statistics. These characterizations include known results for ordinary order statistics and record values as particular cases.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 4; 383-391
1233-7234
Pojawia się w:
Applicationes Mathematicae
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:
Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed
Autorzy:
Grudzień, Zofia
Szynal, Dominik
Powiązania:
https://bibliotekanauki.pl/articles/1339203.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
sample
record values
exponential
order statistics
Weibull distributions
uniform
Opis:
We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 307-314
1233-7234
Pojawia się w:
Applicationes Mathematicae
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:
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:
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:
Recurrence relations for conditional moment generating functions of order statistics and record values
Autorzy:
AL-Hussaini, Essam
Ahmad, Abd EL-Baset
El-Boghdady, Hanan
Powiązania:
https://bibliotekanauki.pl/articles/729716.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
order statistics
record values
conditional moment generating functions
conditional moments
recurrence relations
Opis:
In this paper, recurrence relations for conditional moment generating functions and conditional moments of order statistics and record values based on random samples drawn from members of a class of doubly truncated distributions Ád are obtained.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2005, 25, 2; 181-205
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semi-parametric modification of cumulative sum algorithms for the change-point detection of non-Gaussian sequences
Autorzy:
Zabolotnii, S. W
Warsza, Z. L.
Powiązania:
https://bibliotekanauki.pl/articles/114188.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
change point
CUSUM algorithm
non-Gaussian sequence
stochastic polynomial
high order statistics
Opis:
The expansion of logarithm likelihood ratio in the stochastic series to find the sequential change-point detection of non-Gaussian sequences is used. The moment criteria of the minimum of upper limit error probabilities sum to find the expansion coefficients is applied. The proposed method is a semi-parametric type of cumulative sum (CUSUM) algorithm which needs of higher-order statistics. Results show that polynomial algorithms are more effective in comparison with similar non-parametric procedures.
Źródło:
Measurement Automation Monitoring; 2015, 61, 12; 532-534
2450-2855
Pojawia się w:
Measurement Automation Monitoring
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:
On two families of tests for normality with empirical description of their performances
Autorzy:
Szynal, Dominik
Wołyński, Waldemar
Powiązania:
https://bibliotekanauki.pl/articles/729786.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
order statistics
record values
U-statistics
normal distributions
exponential distributions
characterizations
goodness-of-fit tests
powers
Opis:
We discuss two families of tests for normality based on characterizations of continuous distributions via order statistics and record values. Simulations of their powers show that they are competitive to widely recommended tests in the literature.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 169-185
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł

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