Abstract
The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in Zeghdoudi and Nedjar (2016) who showed interesting properties of their new law, in particular its efficiency in modeling data in Reliability and Survival Analysis. In this paper we study the estimators of the pair of parameters and determine their asymptotic law from which a chi-square law is derived. From both asymptotic laws, statistical tests are built. Simulation studies on the tests conclude to their efficiency for data sizes generally used in Reliability. Related VB6 codes related to statistical analysis on that law are given in Lo (2019, doi : 10.16929/book-spas-eds/2019.002, SPAS-EDS).
La distribution pseudo-Lindley a été introduite comme une généralisation utile de la distribution Lindley dans Zeghdoudi et Nedjar (2016) qui a montré sa pertinence en Analyse de fiabilité et l'étude de survie. Dans cet article, nous étudions les estimateurs des moments de la paire de paramètres et établissons leurs lois asymptotiques à partir desquelles des tests statistiques sont construits. Une études de simulation est faite. Les programmes informatiques en VB6 relatifs aux simulations sont aussi disponibles dans (2019, doi : 10.16929/book-spas-eds/2019.002, SPAS-EDS).
Citation
Gane Samb LO. Tchilabalo Abozou KPANZOU. Mohamed Cheikh HAIDARA. "Statistical tests for the Pseudo-Lindley distribution and applications." Afr. Stat. 14 (4) 2127 - 2139, December 2019. https://doi.org/10.16929/as/2019.2127.151
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