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Autor
Ranjbar V. (Golestan University, Gorgan, Iran), Alizadeh M. (Persian Gulf University, Bushehr, Iran), Hademani G. G. (3Marquette University, Milwaukee, USA)
Tytuł
Extended Exponentiated Power Lindley Distribution
Źródło
Statistics in Transition, 2018, vol. 19, nr 4, s. 621-643, rys., tab., bibliogr. s. 641-643
Słowa kluczowe
Metoda największej wiarygodności, Rozkład prawdopodobieństwa
Maximum likelihood estimation, Probability distributions
Uwagi
summ.
Abstrakt
In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a random sample from this distribution are investigated. A simulation study is performed to compare the performance of the different parameter estimates in terms of bias and mean square error. We apply a real data set to illustrate the applicability of the new model. Empirical findings show that proposed model provides better fits than other well-known extensions of Lindley distributions. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
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Bibliografia
Pokaż
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Cytowane przez
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ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2018-033
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