On Erlang-Truncated Exponential Distribution: Theory and Application | Zendy

Ibrahim Elbatal | Zendy; A. Aldukeel | Zendy

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On Erlang-Truncated Exponential Distribution: Theory and Application

Author(s) -

Ibrahim 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.

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