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Wyświetlanie 1-3 z 3
Tytuł:
Sujatha Distribution and its Applications
Autorzy:
Shanker, Rama
Powiązania:
https://bibliotekanauki.pl/articles/465746.pdf
Data publikacji:
2016
Wydawca:
Główny Urząd Statystyczny
Tematy:
lifetime distributions
Akash distribution
Shanker distribution
Lindley distribution
mathematical and statistical properties
estimation of parameter
goodness of fit
Opis:
In this paper a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data has been suggested. Its first four moments about origin and moments about mean have been obtained and expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. Various mathematical and statistical properties of the proposed distribution including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.
Źródło:
Statistics in Transition new series; 2016, 17, 3; 391-410
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Type II Topp-Leone Frechet distribution: properties and applications
Autorzy:
Shanker, Rama
Rahman, Umme Habibah
Powiązania:
https://bibliotekanauki.pl/articles/1917058.pdf
Data publikacji:
2021-12-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
Frechet distribution
Topp-Leone distribution
reliability properties
applications
Opis:
The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several datasets relating to temperature. Finally, the goodness of fit of the proposed distribution has been compared with that of the Frechet distribution.
Źródło:
Statistics in Transition new series; 2021, 22, 4; 139-152
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Quasi Sujatha Distribution
Autorzy:
Shanker, Rama
Shukla, Kamlesh Kumar
Powiązania:
https://bibliotekanauki.pl/articles/1058938.pdf
Data publikacji:
2020-09-04
Wydawca:
Główny Urząd Statystyczny
Tematy:
Sujatha distribution
quasi Sujatha distribution
moments
reliability properties
stochastic ordering
stress-strength reliability
estimation of parameters
goodness of fit
Opis:
The aim of this paper is to introduce a new quasi Sujatha distribution (NQSD), of which the following are particular cases: the Sujatha distribution devised by Shanker (2016 a), the sizebiased Lindley distribution, and the exponential distribution. Its moments and momentsbased measures are derived and discussed. Statistical properties, including the hazard rate and mean residual life functions, stochastic ordering, mean deviations, Bonferroni and Lorenz curves and stress-strength reliability are also analysed. The method of moments and the method of maximum likelihood estimations is discussed for estimating parameters of the proposed distribution. A numerical example is presented to test its goodness of fit, which is then compared with other one-parameter and two-parameter lifetime distributions.
Źródło:
Statistics in Transition new series; 2020, 21, 3; 53-71
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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