Statistical tests for the pseudo-Lindley distribution and applications. (English. French summary) Zbl 1436.62162

Summary: The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in [H. Zeghdoudi and S. Nedjar, Afr. Stat. 11, No. 1, 923–932 (2016; Zbl 1342.60017)] 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 [G. S. Lo, “A series of statistical packages using VB6”, Technical Report (2019; doi:10.16929/book-spas-eds/2019.002). SPAS-EDS].


62G20 Asymptotic properties of nonparametric inference
62H10 Multivariate distribution of statistics
62H15 Hypothesis testing in multivariate analysis
62N02 Estimation in survival analysis and censored data
62E15 Exact distribution theory in statistics
90B25 Reliability, availability, maintenance, inspection in operations research


Zbl 1342.60017


Visual Basic
Full Text: DOI arXiv Euclid