The statistical properties and applications of the alpha power Topp-Leone-G distribution

• Published in: Heliyon Vol. 8; no. 6; p. e09775
• Main Authors: Eghwerido, Joseph Thomas, Agu, Friday Ikechukwu
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2022; Elsevier
• Subjects: Alpha power distribution; Beta distribution; Data analysis; Maximum likelihood; Record values; Weighted quantile function; Beta distribution; Data analysis; Record values; Alpha power distribution; Maximum likelihood; Weighted quantile function
• ISSN: 2405-8440; 2405-8440
• DOI: 10.1016/j.heliyon.2022.e09775

A two-parameter class of generator named the alpha power Topp-Leone-G (APTL-G) distribution for generating and engendering up to the minute family of continuous contemporary distributions is proposed. The propounded model has a bathtub and J-shapes hazard rate characteristics in data science. Thus, it has enhanced data analysis because of its productivity. A weighted function of the parent distribution was used to obtain the quantile function for the different sub-models considered. The record values of the differences of the kth lower and upper values were obtained in a closed-form to enable its applicability. The APTL-G model parameters values were captured and obtained in their simplified cases by the maximum likelihood approach. A simulation was also adopted to examine and investigate the performance, productivity, efficiency and tractability of the APTL-G sub-models. The outcomes of the real-life application and simulation study show that the performance of the goodness-of-fit of the APTL-G model is more flexible and tractable with real-life data sets concerning its goodness-of-fit. Alpha power distribution; Beta distribution; Data analysis; Maximum likelihood; Record values; Weighted quantile function