International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

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.
  • Search for this author on:
  • Google Scholar
T. A. Bamiduro
  • T. A. Bamiduro
  • Department of Mathematical Sciences, Redeemer's University, Redemption Camp, Ogun State, Nigeria.
  • Search for this author on:
  • Google Scholar
S. G. Ogunobi
  • S. G. Ogunobi
  • Department of Science Laboratory Tehnology, Abraham Adesanya Polytechnic, Ijebu-Igbo, Nigeria
  • Search for this author on:
  • Google Scholar


  •  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.

Copyright © 2024 Author(s) retain the copyright of this article.

This article is published under the terms of the Creative Commons Attribution License 4.0

Back to Vol. 9 No. 4
Back to articles
SUBSCRIBE TO RSS
SUBMIT MANUSCRIPT
CONFERENCES