Exponentiated Modified Weibull Distribution

Elbatal I. ()
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Elbatal I.: Institute of Statistical Studies and Research, Department of Mathematical Statistics, Cairo University, Egypt.

Stochastics and Quality Control, 2011, vol. 26, issue 2, 189-200

Abstract: In this paper we consider the exponentiated modified Weibull distribution. The modified Weibull distribution, Weibull distribution and the exponentiated exponential distribution are found to be particular cases of this family. We derive the analytical shape of the corresponding density functions and hazard rate functions. The rth moment and the moment generating function are determined. Finally the distribution of order statistics and the least squares estimators of the parameters are discussed.

Keywords: Hazard Function; Moments; Order Statistics; Exponentiated Modified Weibull Distribution (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1515/EQC.2011.018

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