APPLICATION OF MML METHODOLOGY TO AN α–SERIES PROCESS WITH WEIBULL DISTRIBUTION

Authors : Halil AYDOGDU, Birdal SENOGLU, Mahmut KARA

Pages : 449-460

View : 26 | Download : 11

Publication Date : 2010-03-01

Article Type : Research Paper

Abstract :In an α-series process, explicit estimators of the parameters α, µ and σ 2 are obtained by using the methodology of modified maximum likelihood insert ignore into journalissuearticles values(MML); when the distribution of the first occurrence time of an event is assumed to be Weibull. Monte Carlo simulations are performed to compare the efficiencies of the MML estimators with the corresponding nonparametric insert ignore into journalissuearticles values(NP); estimators. We also apply the MML methodology to two real life data sets to show the performance of the MML estimators compared to the NP estimators.
Keywords : α series process, Modified likelihood, Nonparametric, Efficiency, Monte Carlo simulation, 2000 AMS Classification 60 G 55