Inverse Kies distribution: Properties and applications

C. Satheesh Kumar; S. H. S. Dharmaja

doi:10.37920/sasj.2017.51.1.3

C. Satheesh Kumar Department of Statistics, University of Kerala, Trivandrum-695 581, India
S. H. S. Dharmaja Department of Statistics, Govt. College for Women, Trivandrum-695 014, India

DOI: https://doi.org/10.37920/sasj.2017.51.1.3

Keywords: Beta generalised inverse Weibull distribution, Failure rate, Generalised inverse Weibull distribution, Maximum likelihood estimation, Model selection, Percentile measures

Abstract

In this paper, a new class of distribution namely “the inverse Kies distribution” is proposed and some of its important aspects are studied by deriving expressions for its percentile measures, raw moments, reliability measures etc. The maximum likelihood estimation of the parameters of the distribution is discussed and the distribution has been fitted to certain real life data sets. The asymptotic behaviour of maximum likelihood estimators of the parameters of the distribution are also studied by using simulated data sets.

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