A New Extension of Generalized Exponential Distribution with Application to Ozone Data

Sanku Dey, Ayman Alzaatreh, Chunfang Zhang, Devendra Kumar

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

In this article, a new distribution, called α - transformed Generalized Exponential Distribution (αPTGE) is proposed. The distribution has simple closed forms pdf and cdf. Several properties of the αPTGE distribution are studied including unimodality, moments, conditional moments, stochastic ordering and Shannon entropy. The distribution is capable of monotonically increasing, decreasing, bathtub and upside down shaped hazard rates. Furthermore, we discussed several methods of estimation for estimating the αPTGE(α,β,λ) parameters. In particular, we compare, through simulation study, the performance of the maximum likelihood estimation, maximum product spacing estimation, ordinary and weighted least-squares estimation methods. Also, the average interval lengths and coverage rates of 95% confidence intervals, including boot-p and boot-t confidence intervals for different parameter values are provided. A real data set is used to illustrate the applicability of the proposed distribution.

Original languageEnglish
Pages (from-to)273-285
Number of pages13
JournalOzone: Science and Engineering
Volume39
Issue number4
DOIs
Publication statusPublished - Jul 4 2017

Keywords

  • Conditional Moments
  • Maximum Product of Spacings
  • Stochastic Ordering
  • Weighted Distribution

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry

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