Statistical Properties and Estimation of Type II Half Logistic Lomax Distribution

  • Amal Soliman Hassan Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
  • Mohammed Elgarhy Valley High Institute for Management Finance and Information Systems, Obour, Qaliubia, Egypt
  • Rokaya Elmorsy Mohamed Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
Keywords: Type II half logistic-G class, maximum likelihood, least squares, Anderson-Darling method

Abstract

In this study we present a new distribution named as Type II Half Logistic Lomax (TIIHLL) which offers more flexibility in modeling lifetime data. We derive some fundamental properties including; ordinary and incomplete moments, Rényi entropy, quantiles, probability weighted moments, and stochastic ordering. The maximum likelihood, least squares, weighted least squares and Anderson-Darling methods are used to estimate the model parameters. We present simulation results to assess the performance of the estimates. We prove empirically the importance and flexibility of the new distribution in modeling data set.

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Published
2020-06-30
Section
Articles