The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications

  • Fazlollah Lak Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Morad Alizadeh Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Hamid Karamikabir Department of Statistics, Persian Gulf University, Bushehr, Iran
DOI: https://doi.org/10.19139/soic-2310-5070-903
Keywords: Gumbel Distributin, Maximum likelihood, Moment, Odd log-logistic-G family, R´enyi Entropy, ToppLeone distribution

Abstract

In this article, the Topp-Leone odd log-logistic Gumbel (TLOLL-Gumbel) family of distribution have beenstudied. This family, contains the very flexible skewed density function. We study many aspects of the new model like hazard rate function, asymptotics, useful expansions, moments, generating Function, R´enyi entropy and order statistics. We discuss maximum likelihood estimation of the model parameters. Further, we study flexibility of the proposed family are illustrated of two real data sets.

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Published
2020-09-26
How to Cite
Lak, F., Alizadeh, M., & Karamikabir, H. (2020). The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications . Statistics, Optimization & Information Computing, 9(2), 288-310. https://doi.org/10.19139/soic-2310-5070-903
Issue
Vol 9 No 2 (2021)
Section
Research Articles
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