In this work, a new family of distributions referred to as Marshall-Olkin type II exponentiated half logistic-Gompertz-G distribution is introduced and studied. Some statistical properties including hazard rate and quantile functions, series expansion of the density function, moments, order statistics and Rénnyi entropy are derived. Special cases, particularly when the baseline distributions are log-logistic and Weibull are presented. Various estimation techniques are utilized to estimate the unknown parameters of the new family of distributions. The methods considered include Maximum Likelihood, Anderson–Darling, Least Squares, Weighted Least Squares, and Cramér-von Mises. Consistency of the estimators for each of the methods are then evaluated by performing a simulation study. The importance and versatility of the Marshall-Olkin type II exponentiated half logistic-Gompertz-G family of distributions is demonstrated in an application to two real data sets from different fields.