THE ODD TEISSIER KUMARASWAMY DISTRIBUTION: A NEW DISTRIBUTION WITH INTERVAL BOUND
DOI:
https://doi.org/10.33003/fjs-2026-1007-5263Keywords:
Teissier, Odd Teissier Kumaraswamy, Unit Interval, Simulation, FlexibilityAbstract
This study introduces a new probability distribution on a unit interval called the Odd Teissier Kumaraswamy (OTKw) distribution, and the aim is to improve the flexibility of the Teissier distribution in modeling lifetime data. The new distribution exhibits exceptional flexibility in modelling data with increasing and bathtub hazard rates. The key statistical properties of the proposed distribution such as the moments, moment generating function, probability weighted moments, quantile, Renyi entropy, and order statistics are derived. The parameters of the proposed distribution are estimated using the maximum likelihood estimation (MLE) method. A simulation study is carried out to examine the performance of the MLEs concerning their biases, standard errors, and root mean square errors (RMSE). Finally, to illustrate the practical importance and flexibility of the proposed distribution in modelling real data applications, three data sets were considered, and the results showed that the new distribution performs better than some other known existing distributions.
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Copyright (c) 2026 Lawrence C. Nzei, Francis C. Ezeh, Nosakhare Ekhosuehi, Julian I. Mbegbu
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