Statistical tests for the Pseudo-Lindley distribution and applications
Autor: | Gane Samb Lo, Mohamed Cheikh Haidara, Tchilabalo Abozou Kpanzou |
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Rok vydání: | 2019 |
Předmět: |
FOS: Computer and information sciences
lindley distribution moment estimators statistical tests Mathematics - Statistics Theory Statistics Theory (math.ST) bivariate normal asymptotic law Methodology (stat.ME) Lindley distribution Pseudo-Lindley distribution Statistics FOS: Mathematics General Earth and Planetary Sciences 62H15 simulations 62H10 62G20 Statistics - Methodology General Environmental Science Statistical hypothesis testing Mathematics |
Zdroj: | Afr. Stat. 14, no. 4 (2019), 2127-2139 |
ISSN: | 2316-090X |
Popis: | 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 laws and efficiencies 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. R codes related to statistical analysis on that law are given in an appropriate archive repository code paper in Arxiv. 14 pages, 1 figure |
Databáze: | OpenAIRE |
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