Involve: A Journal of Mathematics

  • Involve
  • Volume 5, Number 4 (2012), 379-391.

Theoretical properties of the length-biased inverse Weibull distribution

Jing Kersey and Broderick Oluyede

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We investigate the length-biased inverse Weibull (LBIW) distribution, deriving its density function, hazard and reverse hazard functions, and reliability function. The moments, moment-generating function, Fisher information and Shannon entropy are also given. We discuss parameter estimation via the method of moments and maximum likelihood, and hypothesis testing for the LBIW and parent distributions.

Article information

Involve, Volume 5, Number 4 (2012), 379-391.

Received: 7 May 2010
Revised: 1 March 2012
Accepted: 13 April 2012
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62E15: Exact distribution theory 62F03: Hypothesis testing 62N05: Reliability and life testing [See also 90B25] 62N01: Censored data models

inverse Weibull distribution weighted reliability functions integrable function


Kersey, Jing; Oluyede, Broderick. Theoretical properties of the length-biased inverse Weibull distribution. Involve 5 (2012), no. 4, 379--391. doi:10.2140/involve.2012.5.379.

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