Involve: A Journal of Mathematics
- Volume 5, Number 4 (2012), 379-391.
Theoretical properties of the length-biased inverse Weibull distribution
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.
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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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. https://projecteuclid.org/euclid.involve/1513733531