A generalized version of four parameter modified inverse weibull distribution (MIWD) is introduced in this paper. This distribution generalizes the following distributions: (1) Modified Inverse exponential distribution, (2) Modified Inverse Rayleigh distribution, (3) Inverse weibull distribution. We provide a comprehensive description of the mathematical properties of the modified inverse weibull distribution along with its reliability behaviour. We derive the moments, moment generating function and examine the order statistics. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix.
Shuaib Khan, Muhammad and King, Robert
"Modified Inverse Weibull Distribution,"
Journal of Statistics Applications & Probability: Vol. 1
, Article 4.
Available at: https://dc.naturalspublishing.com/jsap/vol1/iss2/4