Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications
Thatayaone Moakofi, Broderick O. Oluyede, Fastel Chipepa
Abstract
This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-Leone power series (TIIEHL-TL-GPS) class of distributions. Some important properties including moments, quantiles, moment generating function, entropy and maximum likelihood estimates are derived. A simulation is conducted study to evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustrate the usefulness of the new class of distributions. Results shows that the proposed model performs better than nested and several non-nested models on selected data sets
Topics & Concepts
MathematicsQuantileStatisticsConsistency (knowledge bases)Applied mathematicsMaximum likelihoodClass (philosophy)Series (stratigraphy)Quantile functionEconometricsProbability distributionMoment-generating functionDiscrete mathematicsComputer scienceArtificial intelligenceBiologyPaleontologyStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis