Open AccessTransmuted Modified Inverse Weibull distribution: Properties and application
Author(s) -
Muhammad Shuaib Khan
Publication year - 2019
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v15i3.2576
Subject(s) - weibull distribution , mathematics , quantile , inverse , exponentiated weibull distribution , inverse distribution , harmonic mean , statistics , weibull modulus , log cauchy distribution , log logistic distribution , distribution fitting , probability distribution , inverse chi squared distribution , heavy tailed distribution , geometry
This paper examines the potential usefulness of the transmuted modified inverse Weibull distribution. This four-parameter distribution holds eleven life time distributions as special cases. Theoretical properties of the transmuted modified inverse Weibull distribution are studied; which includes the quantile, median, entropy, mean deviations, mean, geometric mean and harmonic mean. The estimation of parameters is obtained by using the method of maximumlikelihood. An application to real dataset is provided to show the better fit of the transmuted modified inverse Weibull distribution.