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Topp-Leone generated q-exponential distribution and its applications

2019/03/17 by Nicy Sebastian, Sebastian, Nicy, R. S. Rasin +3
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #(2010) 60E05 #33B20 #62G05 #62N05 #68U20 #FOS: Mathematics #Financial Risk and Volatility Modeling #Probability and Risk Models #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1903.07028

openalex publication_date 2019/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Topp-Leone distribution is a continuous model distribution used for modelling lifetime phenomena. The main purpose of this paper is to introduce a new framework for generating lifetime distributions, called the Topp-Leone generated q-exponential family of distributions. Parameter estimation using maximum likelihood method and simulation results to assess effectiveness of the distribution are discussed. Different informative and non-informative priors are used to estimate the shape parameter of q extended Topp-Leone generated exponential distribution under normal approximation technique. We prove empirically the importance and flexibility of the new model in model building by using a real data set.

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