A Size Biased Gamma Lindley Distribution

  • Abdelfateh Beghriche Department of Mathematics, Faculty of Exact Sciences, University the Brothers Mentouri Constantine1, Algeria
  • Halim Zeghdoudi LaPS laboratory, Badji-Mokhtar University, Annaba, Algeria
Keywords: Size-biased distributions, Lindley distribution, maximum-likelihood estimation, simulation, goodness of fit

Abstract

The present paper offers a new extension to the gamma Lindley distribution called size-biased gamma Lindley distribution (SBGaL). Several properties of this distribution such as moment method, maximum likelihood estimation, and limiting distribution of extreme order statistics are established. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the parameters. Finally, an application of the model to a real data set is presented and compared with the fit attained by some other well-known two (three)-parameter distributions.

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Published
2019-07-10
Section
Articles