LOG-LOGISTIC WEIBULL-GEOMETRIC DISTRIBUTION WITH APPLICATION TO LIFETIME DATA

  • Adil H. Khan Department of Statistics University of Kashmir, Srinagar, India
  • T.R. Jan Department of Statistics University of Kashmir, Srinagar, India
Keywords: Weibull Distribution, Maximum Likelihood Estimation, Log-logistic Distribution

Abstract

In the present paper, a new generalized distribution labeled as log-logistic Weibull- Geometric (LLoGWG) distribution has been presented. The distribution subsumes the log-logistic Rayleigh (LLoGR), log-logistic Weibull (LLoGW), log-logistic (LLoG), log-logistic exponential (LLoGE), distributions and many more as particular cases. The derived structural properties of this distribution include the hazard, reverse hazard and quantile functions. Maximum likelihood estimation is used for parameter estimation of this new distribution. Also, the real data example is presented to depict the applicability of the model.

 

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Published
2019-05-20
Section
Articles