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Wyświetlanie 1-10 z 10
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
Tytuł:
Comparison at optimal levels of classical tail index estimators: a challenge for reduced-bias estimation?
Autorzy:
Gomes, M.
Henriques-Rodrigues, Lígia
Powiązania:
https://bibliotekanauki.pl/articles/729988.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
statistics of extremes
semi-parametric estimation
bias estimation
heavy tails
optimal levels
Opis:
In this article, we begin with an asymptotic comparison at optimal levels of the so-called "maximum likelihood" (ML) extreme value index estimator, based on the excesses over a high random threshold, denoted PORT-ML, with PORT standing for peaks over random thresholds, with a similar ML estimator, denoted PORT-MP, with MP standing for modified-Pareto. The PORT-MP estimator is based on the same excesses, but with a trial of accommodation of bias on the Generalized Pareto model underlying those excesses. We next compare the behaviour of these ML implicit estimators with the equivalent behaviour of a few explicit tail index estimators, the Hill, the moment, the generalized Hill and the mixed moment. As expected, none of the estimators can always dominate the alternatives, even when we include second-order MVRB tail index estimators, with MVRB standing for minimum-variance reduced-bias. However, the asymptotic performance of the MVRB estimators is quite interesting and provides a challenge for a further study of these MVRB estimators at optimal levels.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 1; 35-51
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inference for random effects in prime basis factorials using commutative Jordan algebras
Autorzy:
Jesus, Vera
Rodrigues, Paulo
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/730010.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
prime basis factorial
commutative Jordan algebras
complete sufficient statistics
UMVUE
confidence regions
Opis:
Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 15-25
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
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:
Study with George Styan
Autorzy:
Bertrand, Philip
Powiązania:
https://bibliotekanauki.pl/articles/729778.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
mathematics
complex variable analysis
mathematical statistics
determinants
matrices
matrix theory
stochastic processes
Opis:
George Styan and I first met when he came to the University of Birmingham to study Mathematics. We both developed interests in Mathematical Statistics. Matrix theory is an essential component of such courses and we both excelled at it. Our paths have intersected on a number of occasions and George's insight and cooperation has been a great help in enabling me to carry out research in several areas. This article summarizes the value of George's presence and help in carrying out some interesting and complicated research projects.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 41-46
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Beta(p,1) extensions of the random (uniform) Cantor sets
Autorzy:
Pestana, Dinis
Aleixo, Sandra
Leonel Rocha, J.
Powiązania:
https://bibliotekanauki.pl/articles/729978.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
order statistics
uniform spacings
random middle third Cantor set
Beta spacings
Hausdorff dimension
Opis:
Starting from the random extension of the Cantor middle set in [0,1], by iteratively removing the central uniform spacing from the intervals remaining in the previous step, we define random Beta(p,1)-Cantor sets, and compute their Hausdorff dimension. Next we define a deterministic counterpart, by iteratively removing the expected value of the spacing defined by the appropriate Beta(p,1) order statistics. We investigate the reasons why the Hausdorff dimension of this deterministic fractal is greater than the Hausdorff dimension of the corresponding random fractals.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2009, 29, 2; 199-221
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrence relations for single and product moments of k-th lower record values from the inverse distributions of Paretos type and characterizations
Autorzy:
Pawlas, Piotr
Szynal, Dominik
Powiązania:
https://bibliotekanauki.pl/articles/729956.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
sample
order statistics
k-th lower record values
moments
product moments
inverse distributions
Opis:
We give recurrence relations for single and product moments of k-th lower record values from the inverse Pareto, inverse generalized Pareto and inverse Burr distributions. We present also characterization conditions for these distributions.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 223-231
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
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:
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
Tytuł:
Some comments on the life and publications of Jerzy K. Baksalary (1944-2005)
Autorzy:
Baksalary, Oskar
Styan, George
Powiązania:
https://bibliotekanauki.pl/articles/729932.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
The Adam Mickiewicz University in Poznań
The August Cieszkowski Agricultural University in Poznań
authorship matrix
bibliometrics
biography
generalized inverses of matrices
history of mathematics and statistics in Poland
linear statistical models
matrix equations and inequalities
matrix partial orderings
obituary
rank of a matrix product
Tadeusz Kotarbiński Pedagogical University in Zielona Góra
Zielona Góra University
Opis:
Following some biographical information on Jerzy K. Baksalary (1944-2005) and some comments by Tadeusz Caliński, Oskar Maria Baksalary, and Image Editors-in-Chief: Bryan L. Shader and Hans Joachim Werner, this article continues with personal remarks on the life and publications of Jerzy K. Baksalary by Anita Dobek, R. William Farebrother, Jürgen Groß, Jan Hauke, Radosław Kala, Erkki Liski, Xiaoji Liu, Augustyn Markiewicz, Thomas Mathew, Wiesław Migdałek, Friedrich Pukelsheim, Tarmo Pukkila, Simo Puntanen, C. Radhakrishna Rao, Dietrich von Rosen, George P.H. Styan, Tomasz Szulc, Yongge Tian, Götz Trenkler, Frank Uhlig, Júlia Volaufová, Haruo Yanai, and Fuzhen Zhang. These remarks are followed by a detailed list of Jerzy Baksalary's publications prepared by the editors of this article.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2008, 28, 1; 5-64
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-10 z 10

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