Type II Exponentiated Half-Logistic Gompertz-G Family of Distributions: Properties and Applications
Thatayaone Moakofi, Broderick O. Oluyede
Abstract
ABSTRACT In this work, a new family of distributions referred to as type II exponentiated half-logistic-Gompertz-G (TIIEHL-Gom-G) family of distributions is introduced and studied. Some of the main statistical properties of these family of distributions are derived. The model parameters are estimated using the maximum likelihood estimation technique and consistency of maximum likelihood estimators is evaluated by performing a simulation study. The importance and versatility of the TIIEHL-Gom-G family of distributions is demonstrated in an application to two real data sets from different fields.
Topics & Concepts
MathematicsGompertz functionEstimatorConsistency (knowledge bases)Maximum likelihoodStatisticsType (biology)Applied mathematicsEconometricsDiscrete mathematicsEcologyBiologyStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignFinancial Risk and Volatility Modeling