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Theoretical
properties of the length-biased inverse Weibull
distribution
Jing Kersey and Broderick O. Oluyede
Vol. 5 (2012), No. 4, 379–391
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Abstract |
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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. |
Keywords
inverse Weibull distribution, weighted reliability
functions, integrable function
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Mathematical Subject Classification 2010
Primary: 62E15, 62F03, 62N05, 62N01
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Milestones
Received: 7 May 2010
Revised: 1 March 2012
Accepted: 13 April 2012
Published: 14 June 2013
Communicated by Kenneth S. Berenhaut
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Authors |
| Jing Kersey | |
| Division of Mathematics and
Science East Georgia State College 10449 US Highway 301 South Statesboro, GA 30458 United States |
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| Broderick O. Oluyede | |
| Department of Mathematical
Sciences Georgia Southern University 65 Georgia Avenue Statesboro, GA 30460 United States |
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