On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution
Davood Farbod, Karen V. Gasparian · Journal of the Iranian Statistical Society · 2013
In this paper we consider some four-parametric, so-called Generalized Pareto-like Frequency Distribution, which have been con- structed using stochastic Birth-Death Process in order to model phenom- ena arising in Bioinformatics (Astola and Danielian, 2007). As examples, two real data sets on the number of proteins and number of residues for analyzing such distribution are given. The conditions of coincidence of solution for the system of Likelihood Equations with the Maximum Likelihood Estimators (MLE) for the parameters of this distribution are also investigated. In addition, we propose Accumulation Method as a recurrence method for approximate computation of the MLE of the pa- rameters. Simulation studies are done.