Open AccessOn Erlang-Truncated Exponential Distribution: Theory and Application
Author(s) -
İbrahim Elbatal,
A. Aldukeel
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i1.2963
Subject(s) - mathematics , erlang distribution , erlang (programming language) , exponential family , exponential distribution , natural exponential family , exponential function , moment (physics) , maximum likelihood , lomax distribution , moment generating function , distribution fitting , gamma distribution , distribution (mathematics) , truncated normal distribution , statistics , mathematical analysis , probability density function , computer science , functional programming , physics , theoretical computer science , classical mechanics
In this article, we introduce a new distribution called the McDonald Erlangtruncated exponential distribution. Various structural properties including explicit expressions for the moments, moment generating function, mean deviation of the new distribution are derived. The estimation of the model parameters is performed by maximum likelihood method. The usefulness of the new distribution is illustrated by two real data sets. The new model is much better than other important competitive models in modeling relief times and survival times data sets.