Modified Inverse Weibull Distribution

Authors

Muhammad Shuaib Khan, School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, AustraliaFollow
Robert King

Author Country (or Countries)

Australia

Abstract

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.

Suggested Reviewers

N/A

Recommended Citation

Shuaib Khan, Muhammad and King, Robert (2012) "Modified Inverse Weibull Distribution," Journal of Statistics Applications & Probability: Vol. 1: Iss. 2, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol1/iss2/4