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On Erlang-Truncated Exponential Distribution: Theory and Application
Author(s):
1. Elbatal: Department of Mathematics and Statistics-College of Science-Imam Mohammad Ibn Saud Islamic University (IMSIU),Saudi Arabia
2. A. Aldukeel: Department of Mathematics and Statistics-College of Science-Imam Mohammad Ibn Saud Islamic University (IMSIU)-,Saudi Arabia
Abstract:
In this article, we introduce a new distribution called the McDonald Erlang-truncated 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.
Page(s): 155-168
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021
Keywords:
Moments , Maximum Likelihood Estimation , moment generating function , McDonald Distribution , Erlangtruncated Exponential distribution
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