The alpha power Teissier distribution and its applications

Abstract

Statistical distribution that represents the true characteristics of real-life data is paramount to data analysis. Thus, this study introduces a tractable alpha power Teissier distribution (APOT). Some statistical properties of the proposed model like moments, probability generating function, moment generating function and order statistic were examined. The shape of the hazard rate and survival functions were investigated. The shapes of the hazard rate function indicated increasing, decreasing, J-shaped and bathtub shapes. The results of the data analysis indicated that the APOT model performed better when compared to some existing classical statistical distributions.

The Alpha Power Topp-Leone Distribution: Properties, Simulations and Applications

“…The alpha-power transformation method defined in (1) and ( 2) has attracted the attention of researchers to introduce more flexible generalizations of existing classical lifetime distributions. [10] proposed the alpha-power Raleigh distribution, [11] introduced the alpha-power Weibull distribution, [12] developed the alpha-power Lindley distribution, [13] introduced the alpha-power transformed extended exponential distribution, [14] proposed the alpha-power inverted exponential distribution, [15] studied the alpha-power inverse Lindley distribution, [16] developed the alpha-power transformed power Lindley distribution, [17] proposed the alpha-power Pareto distribution, [18] developed the alpha-power inverse Weibull distribution, [19] proposed the alpha-power inverse Lomax distribution, [20] introduced the alpha-power Gompertz distribution, amongst many others.…”

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

“…The exponentiated generalized generator Poisson distribution was proposed in [7] for generalizing the Poisson models. [13] proposed the alpha power Teissier distribution. The Topp-Leone odd Lindley generator of distributions was proposed in [19] .…”

The Marshall – Olkin Teissier generated model for lifetime data

“…The development of a generalised family of distribution models that provides a parameterised mathematical function, a simple and efficient algorithm for the parameter estimation of data sets of various characteristics, has become an interest to researchers. Thus several Marshall -Olkin methods of adding parameters in the researched studies such as [7; 8-15] and alpha power Teissier in [16] were examined.…”