Abstract. In this paper we consider some four-parametric, so-called Generalized Pareto-like Frequency Distribution, which have been constructed using stochastic Birth-Death Process in order to model phenomena 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 parameters. Simulation studies are done.
Farbod,D. and Gasparian,K. (2022). On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution. Journal of the Iranian Statistical Society, 12(2), 211-234.
MLA
Farbod,D. , and Gasparian,K. . "On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution", Journal of the Iranian Statistical Society, 12, 2, 2022, 211-234.
HARVARD
Farbod D., Gasparian K. (2022). 'On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution', Journal of the Iranian Statistical Society, 12(2), pp. 211-234.
CHICAGO
D. Farbod and K. Gasparian, "On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution," Journal of the Iranian Statistical Society, 12 2 (2022): 211-234,
VANCOUVER
Farbod D., Gasparian K. On the Maximum Likelihood Estimators for some Generalized Pareto-like Frequency Distribution. JIRSS, 2022; 12(2): 211-234.
Journal of the Iranian Statistical Society