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

Yıl 2010, Cilt: 39 Sayı: 3, 449 - 460, 01.03.2010

Halil Aydogdu Birdal Senoglu Mahmut Kara

Öz

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 (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 (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.

Anahtar Kelimeler

α-series process, Modified likelihood, Nonparametric, Efficiency, Monte Carlo simulation, 2000 AMS Classification: 60 G 55

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

Öz

Kaynakça

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