Modified Odd Weibull Family of Distributions: Properties and Applications

In this paper, a new family of continuous distributions, called the modified odd Weibull-G (MOW-G) family, is studied. The MOW-G family has the feature to use the Weibull distribution as main generator and a new modification of the odd transformation, opening new horizon in terms of statistical mode...

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Bibliographic Details
Published in:Journal of the Indian Society for Probability and Statistics 2020-06, Vol.21 (1), p.259-286
Main Authors: Chesneau, Christophe, El Achi, Taoufik
Format: Article
Language:English
Subjects:
Mathematics and Statistics
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Research Article
Statistical Theory and Methods
Statistics
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Summary:In this paper, a new family of continuous distributions, called the modified odd Weibull-G (MOW-G) family, is studied. The MOW-G family has the feature to use the Weibull distribution as main generator and a new modification of the odd transformation, opening new horizon in terms of statistical modelling. Its main theoretical and practical aspects are explored. In particular, for the mathematical properties, we investigate some results in distribution, quantile function, skewness, kurtosis, moments, moment generating function, order statistics and entropy. For the statistical aspect, the maximum likelihood estimation method is used to estimate the model parameters. The performance of this method is evaluated by a Monte Carlo simulation study. Applications to three practical data sets are given to demonstrate the usefulness of the MOW-G model.
ISSN:2364-9569
2364-9569
DOI:10.1007/s41096-020-00075-x