Title: A new weighted exponential distribution as an alternative to the Weibull distribution and its fit to reliability data

Authors: Hassan S. Bakouch; Christophe Chesneau; Mai G. Enany

Addresses: Faculty of Science, Department of Mathematics, Tanta University, 31527, Tanta, Egypt ' Department of Mathematics, Université de Caen, LMNO, Campus II, Science 3, 14032, Caen, France ORCID: orcid.org/0000-0002-1522-9292 ' Faculty of Science, Department of Mathematics, Tanta University, 31527, Tanta, Egypt

Abstract: In this paper, we introduce and study an unexplored two-parameter weighted exponential distribution, having deep connections with the so-called exponentiated exponential and exponential-logarithmic distributions. Among its advantages, the corresponding probability density and hazard rate functions display quite attractive shapes for various modelling aims. Our theoretical contributions on the new distribution include some results on first-order stochastic dominance, the expression of the quantile function, expansion series for the moments, with discussions on the incomplete moment and moment generating function. Entropy and extropy are also investigated. Inferential work is performed on the related model; the estimation of parameters is justified by the method of maximum likelihood. The potential and elasticity of the model is illustrated by fitting it to two reliability datasets.

Keywords: weighted distributions; statistical and reliability properties; reliability data; goodness-of-fit statistics.

DOI: 10.1504/IJDS.2021.121096

International Journal of Data Science, 2021 Vol.6 No.3, pp.223 - 240

Received: 21 May 2021
Accepted: 27 Sep 2021
Published online: 24 Feb 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article