Alpha Power Inverted Exponential Distribution: Properties and Application

ÜNAL C., Cakmakyapan S., Ozel G.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.3, pp.954-965, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 3
  • Publication Date: 2018
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.954-965
  • Keywords: Inverted Exponential, Distribution, Quantile Function, Maximum Likelihood, Estimation
  • Hacettepe University Affiliated: Yes

Abstract

In this study, we introduce a new distribution based on the inverted exponential distribution called as "Alpha Power Inverted Exponential" distribution. Some of the statistical properties are provided such as hazard rate function, quantile function, skewness, kurtosis, and order statistics. Model parameters are obtained by the maximum likelihood. We prove empirically importance and flexibility of the new distribution in modeling with real data applications.