Generalized Mixtures of Exponential Distribution and Associated Inference

A new generalization of the exponential distribution, namely generalized mixture is introduced. Some its basic properties, such as hazard function, moments, order statistics, mean deviation, measures uncertainly, and reliability probability, are studied. Three different estimation methods investigated by maximum likelihood estimator, least-square weighted estimator. The performances estimators assessed simulation studies. Real-world applications proposed distribution explored, data fitting results show that performs better than competitors.