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Abstract
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In this paper, a new class of continuous distributions with two extra positive parameters is introduced and is
called the Type II General Exponential (TIIGE) distribution. Some special models are presented.
Asymptotics, explicit expressions for the ordinary and incomplete moments, moment residual life, reversed
residual life, quantile and generating functions and stress-strengh reliability function are derived.
Characterizations of this family are obtained based on truncated moments, hazard function, conditional
expectation of certain functions of the random variable are obtained. The performance of the maximum
likelihood estimators in terms of biases, mean squared errors and confidence interval length is examined by
means of a simulation study. Two real data sets are used to illustrate the application of the proposed class.
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