International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2528

Full Length Research Paper

Lehmann Type II weighted Weibull distribution

N. I. Badmus
  • N. I. Badmus
  • Department of Statistics, Abraham Adesanya Polytechnic, Ijebu-Igbo, Nigeria.
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T. A. Bamiduro
  • T. A. Bamiduro
  • Department of Mathematical Sciences, Redeemer's University, Redemption Camp, Ogun State, Nigeria.
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S. G. Ogunobi
  • S. G. Ogunobi
  • Department of Science Laboratory Tehnology, Abraham Adesanya Polytechnic, Ijebu-Igbo, Nigeria
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  •  Accepted: 05 February 2014
  •  Published: 28 February 2014

Abstract

We upgrade on the method used on weighted Weibull model proposed by Azzalini (1985) using the logit of Beta function by Jones (2004) to have Lehmann Type II weighted Weibull model with a view to obtaining a distribution that is more better than both weighted Weibull and Weibull distribution in terms of estimate of their characteristics and their parameter. The weighted Weibull distribution is proposed by slightly modifying the method of Azzalini (1985) on weighted distribution with additional shape  and scale  parameters. Some basic properties of the newly proposed distribution including moments and moment generating function, survival rate function, hazard rate function, asymptotic behaviours, and the estimation of parameters have been studied.

Key words: Asymptotic, hazard rate, Lehmann Type II, moments, weighted-Weibull.