A Generalized Suja Distribution with Application to Lifetime Data

This paper introduces a generalized Suja distribution called the Kumaraswamy-Suja (KW-Suja) distribution using the Kumaraswamy generator. The proposed distribution has Suja distribution as a special case. Some statistical and reliability properties of the new distribution were derived and the method of maximum likelihood was employed for estimating the model parameters. The usefulness and flexibility of the KW-Suja distribution were illustrated with a real lifetime data. Results based on the log-likelihood and goodness of fit statistics values showed that the KW-Suja distribution provides a better fit to the data than the other competing distributions considered in this study. The KW-Suja distribution is therefore recommended for effective modelling of the unimodal or bimodal continuous lifetime data with non-decreasing shape and bathtub-shaped failure rate.

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Publication Details

Journal
Asian Journal of Probability and Statistics
Published
2024-10-07
DOI
https://doi.org/10.9734/ajpas/2024/v26i10663
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A Generalized Suja Distribution with Application to Lifetime Data

Samuel U. Enogwe, Christiana O. Atuejide, Chinonye E. Oguba, Paul C. Ugwuoke
Asian Journal of Probability and Statistics
Statistical Distribution Estimation and Applications
article

A Generalized Suja Distribution with Application to Lifetime Data

Samuel U. Enogwe, Christiana O. Atuejide, Chinonye E. Oguba, Paul C. Ugwuoke
article en

Abstract

This paper introduces a generalized Suja distribution called the Kumaraswamy-Suja (KW-Suja) distribution using the Kumaraswamy generator. The proposed distribution has Suja distribution as a special case. Some statistical and reliability properties of the new distribution were derived and the method of maximum likelihood was employed for estimating the model parameters. The usefulness and flexibility of the KW-Suja distribution were illustrated with a real lifetime data. Results based on the log-likelihood and goodness of fit statistics values showed that the KW-Suja distribution provides a better fit to the data than the other competing distributions considered in this study. The KW-Suja distribution is therefore recommended for effective modelling of the unimodal or bimodal continuous lifetime data with non-decreasing shape and bathtub-shaped failure rate.

Asian Journal of Probability and StatisticsVol. 26(10)
Michael Okpara University of Agriculture (NG)
Openalex Percentile: Top 82%
Statistical Distribution Estimation and Applications
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