Involve: A Journal of Mathematics

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

Theoretical properties of the length-biased inverse Weibull distribution

Abstract

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

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

Dates
Revised: 1 March 2012
Accepted: 13 April 2012
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.involve/1513733531

Digital Object Identifier
doi:10.2140/involve.2012.5.379

Mathematical Reviews number (MathSciNet)
MR3069042

Zentralblatt MATH identifier
1293.62031

Citation

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

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