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A Generalization of the Exponential-Logarithmic Distribution

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Abstract

A three-parameter lifetime distribution with increasing, decreasing, and unimodal failure rates is presented as a generalization of the exponential-logarithmic distribution introduced by Tahmasbi and Rezaei (2008). Various statistical properties and reliability aspects are explored and the estimation of parameters is studied, using the standard maximum likelihood procedures with complete data; the estimation is discussed briefly when some observations are randomly right-censored. Simulation results and applications of the model to real data are included.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, Ioannina, Greece

    Vasileios Pappas & Sotirios Loukas

  2. Department of Business Administration of Food & Agricultural Enterprises, University of Patras, 2 Seferi Street, 30100, Agrinio, Greece

    Konstantinos Adamidis

Authors
  1. Vasileios Pappas
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  2. Konstantinos Adamidis
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  3. Sotirios Loukas
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Corresponding author

Correspondence to Konstantinos Adamidis.

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Pappas, V., Adamidis, K. & Loukas, S. A Generalization of the Exponential-Logarithmic Distribution. J Stat Theory Pract 9, 122–133 (2015). https://doi.org/10.1080/15598608.2014.898604

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  • DOI: https://doi.org/10.1080/15598608.2014.898604

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