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On Lindley-Exponential Distribution: Properties and Application

2014/06/12 by Deepesh Bhati, Bhati, Deepesh, M.A. Malik +1
Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Applications (stat.AP) #FOS: Computer and information sciences #Methodology (stat.ME) #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.1406.3106

openalex publication_date 2014/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments, entropy, and limiting distribution of extreme order statistics are established. Inference for a random sample from the proposed distribution is investigated and maximum likelihood estimation method is used for estimating parameters of this distribution. The applicability of the proposed distribution is shown through real data sets.

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