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Publication Date:
December 2011
ISSN:
1869-6147
DOI:
10.1515/EQC.2011.018

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Managing Editor: Collani, E.

null Dumitrescu, Monica / Guo, Renkuan / Kolev, N. / Rahim, Abdur / Sheil, John G. / Balogh, Albert / Carlsson, Olle / Chan, P.L.Y. / Dimitrov, Boyan / Govindaraju, K. / Gutierrez Fernandez, M. / Hryniewicz, Olgierd / Jensen, Uwe / Krumbholz, W. / Moustafa, Magdi S. / Mukherjee, S.P. / Nishina, Ken / Saniga, Erwin M. / Yum, Bong-Jin

2 Issues per year

Exponentiated Modified Weibull Distribution

1Institute of Statistical Studies and Research, Department of Mathematical Statistics, Cairo University, Egypt.

Citation Information: Economic Quality Control. Volume 26, Issue 2, Pages 189–200, ISSN (Online) 1869-6147, ISSN (Print) 0940-5151, DOI: 10.1515/EQC.2011.018, December 2011

Publication History:

Received: 06/03/2011;
Published Online: 26/02/2012

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

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