Abstract
In recent years, statisticians have grown increasingly engaged in research of mixture models, particularly in the previous decade, without adequate consideration of challenge of estimating the parameters of mixture models from a frequentist perspective. Except for maximum likelihood estimation, this study addresses this vacuum by discussing the two other classical methods of estimation for mixture model. We commence by briefly describing the three frequentist approaches, namely maximum likelihood, ordinary, and weighted least squares, and then comparing them through extensive numerical simulations. The model’s applicability is illustrated by its application to simulated and real-world data, which yields promising results in terms of enhanced estimation.
•Frequentist approaches, namely MLE, ordinary, and WLSE for mixture of exponential distributions are considered.•The existence of MLEs is shown.•Different methods of estimations are compared through extensive numerical simulations.•The log-likelihood function has global maximum roots.