Temat: Order Statistics - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

Tytuł:: Characterizations of distributions by moments of order statistics when the sample size is random
Autorzy:: Grudzień, Zofia
Szynal, Dominik
Powiązania:: https://bibliotekanauki.pl/articles/1340262.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Poisson distribution
logarithmic series
binomial
random sample size
geometrical
order statistics
recurrence formula
uniform distribution
negative binomial
moments
Opis:: We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.
Źródło:: Applicationes Mathematicae; 1995-1996, 23, 3; 305-318
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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