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The Weibull-Power Cauchy distribution: model, properties and applications
2017
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
Abstract:

We propose a new three-parameter distribution with increasing, decreasing, reversed-J and upside-down bathtub shaped hazard rate, called the Weibull-power Cauchy distribution. We obtain explicit expressions for the mode, ordinary, negative and incomplete moments, mean deviations, mean residual life, quantile and generating functions, order statistics, Shannon entropy and reliability. We derive a power series for the quantile function using exponential partial Bell polynomials. A useful characterization of the new distribution is also presented. The method of maximum likelihood is used to estimate the model parameters. The importance of the new distribution is proved empirically by means of three real-life data sets.

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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 681
2023 Impact : 0.004
Details
Hacettepe Journal of Mathematics and Statistics