A new compound class of log-logistic Weibull-Poisson distribution: model, properties and applications

A new class of distributions called the log-logistic Weibull-Poisson distribution is introduced and its properties are explored. This new distribution represents a more flexible model for lifetime data. Some statistical properties of the proposed distribution including the expansion of the density f...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2016-05, Vol.86 (7), p.1363-1391
Main Authors: Oluyede, Broderick O., Warahena-Liyanage, Gayan, Pararai, Mavis
Format: Article
Language:English
Subjects:
Computer simulation
Confidence intervals
Density
Deviation
Hazards
Kurtosis
log-logistic distribution
log-logistic Weibull-Poisson distribution
Mathematical analysis
Mathematical models
Maximum likelihood estimation
Maximum likelihood estimators
Maximum likelihood method
Monte Carlo simulation
Parameter estimation
Poisson distribution
Properties (attributes)
Statistics
Weibull distribution
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Description
Summary:A new class of distributions called the log-logistic Weibull-Poisson distribution is introduced and its properties are explored. This new distribution represents a more flexible model for lifetime data. Some statistical properties of the proposed distribution including the expansion of the density function, quantile function, hazard and reverse hazard functions, moments, conditional moments, moment generating function, skewness and kurtosis are presented. Mean deviations, Bonferroni and Lorenz curves, Rényi entropy and distribution of the order statistics are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study is conducted to examine the bias, mean square error of the maximum likelihood estimators and width of the confidence interval for each parameter and finally applications of the model to real data sets are presented to illustrate the usefulness of the proposed distribution.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2015.1064409