Article: The new odd Burr III-G power series class of distributions: properties and applications to censored and uncensored data Journal: International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO) 2024 Vol.14 No.3/4 pp.109 - 140 Abstract: The odd Burr III-G power series (OBIII-GPS) class of distributions (CoDs) and its subclass, the odd Burr III-Weibull power series (OBIII-WPS), are the new distributions presented in this article. The statistical properties of the newly developed CoDs were derived. These encompass, the hazard rate function, quantile function, moments, order statistics, and Rényi entropy. Five different estimation methods are presented for estimating the unknown model parameters. The evaluation criteria used to assess the performance of these estimation techniques in a Monte Carlo simulation framework were the root mean square error and average bias. Two data examples, including a censored dataset were used to demonstrate the viability of the suggested paradigm. Inderscience Publishers - linking academia, business and industry through research

Title: The new odd Burr III-G power series class of distributions: properties and applications to censored and uncensored data

Authors: Wilbert Nkomo; Broderick Oluyede; Fastel Chipepa

Addresses: Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana; Department of Applied Statistics, Faculty of Sciences, Manicaland University of Applied Sciences, P. Bag 7001 Fernhill, Mutare, Zimbabwe ' Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana ' Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana

Abstract: The odd Burr III-G power series (OBIII-GPS) class of distributions (CoDs) and its subclass, the odd Burr III-Weibull power series (OBIII-WPS), are the new distributions presented in this article. The statistical properties of the newly developed CoDs were derived. These encompass, the hazard rate function, quantile function, moments, order statistics, and Rényi entropy. Five different estimation methods are presented for estimating the unknown model parameters. The evaluation criteria used to assess the performance of these estimation techniques in a Monte Carlo simulation framework were the root mean square error and average bias. Two data examples, including a censored dataset were used to demonstrate the viability of the suggested paradigm.

Keywords: censoring; generalised distribution; moments; odd Burr III-G; parameter estimation; power series distribution; Weibull distribution.

DOI: 10.1504/IJMMNO.2024.143840

International Journal of Mathematical Modelling and Numerical Optimisation, 2024 Vol.14 No.3/4, pp.109 - 140

Received: 21 Sep 2023
Accepted: 18 Jan 2024
Published online: 10 Jan 2025 *

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Title: The new odd Burr III-G power series class of distributions: properties and applications to censored and uncensored data

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