کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
978745 933303 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Empirical aspects of the Whittle-based maximum likelihood method in jointly estimating seasonal and non-seasonal fractional integration parameters
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Empirical aspects of the Whittle-based maximum likelihood method in jointly estimating seasonal and non-seasonal fractional integration parameters
چکیده انگلیسی
This paper addresses the efficiency of the maximum likelihood (ML) method in jointly estimating the fractional integration parameters ds and d, respectively associated with seasonal and non-seasonal long-memory components in discrete stochastic processes. The influence of the size of non-seasonal parameter over seasonal parameter estimation, and vice versa, was analyzed in the space d×ds∈(0,1)×(0,1) by using mean squared error statistics MSE(dˆs) and MSE(dˆ). This study was based on Monte Carlo simulation experiments using the ML estimator with Whittle's approximation in the frequency domain. Numerical results revealed that efficiency in jointly estimating each integration parameter is affected in different ways by their sizes: as ds and d increase simultaneously to 1, MSE(dˆs) and MSE(dˆ) become larger; however, effects on MSE(dˆs) are much stronger than the effects on MSE(dˆ). Moreover, as each parameter tends individually to 1, MSE(dˆ) becomes larger, but MSE(dˆs) is barely influenced.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 390, Issue 1, 1 January 2011, Pages 8-17
نویسندگان
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