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Time Series Forecasting for MA Models Bayesian Approach

المصدر: مجلة البحوث المالية والتجارية
الناشر: جامعة بورسعيد - كلية التجارة
المؤلف الرئيسي: Labeb, Mona R. (Author)
المجلد/العدد: ع2
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2016
الصفحات: 287 - 291
ISSN: 2090-5327
رقم MD: 866195
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
Predictive Distribution | Bayesian Forecasting | Moving Average Models | Normal-Gamma Density | T Distribution
رابط المحتوى:
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LEADER 02434nam a22002177a 4500
001 1617669
041 |a eng 
044 |b مصر 
100 |9 466684  |a Labeb, Mona R.  |e Author 
245 |a Time Series Forecasting for MA Models Bayesian Approach 
260 |b جامعة بورسعيد - كلية التجارة  |c 2016 
300 |a 287 - 291 
336 |a بحوث ومقالات  |b Article 
520 |b Bayesian analysis of Moving Average models is difficult since the likelihood function is highly nonlinear in the parameters, which complicates the prior specification and posterior calculations. Thus, the integrations involved in Bayesian analysis must be done numer¬ically. This is not easy and time consuming especially in the case of the multiparameter models. A successful solution to the problem suggested by Broemeling and Shaarawy[3]. Broemeling and Shaarawy’s approach is based on calculating the residuals recursively using nonlinear least squares estimates of the model coefficients. Then, the lagged errors of the model are replaced with their corresponding lagged residuals. In this study, the predictive distribution of future observations, which complies with the Bayesian Broemeling and Shaarawy’s approach, is applied. A simulation study results support the adequacy of us¬ing the proposed method. In this study, first, the problem of predictive analysis of MA models is considered. In order to apply the above-mentioned ap¬proximation in forecasting future observations, the one step ahead predictive densities of the general MA(q) processes based on Normal- Gamma prior and Jeffreys’ prior are derived. Second, some statistical tools are computed to the Bayesian proposed method such as the frequency distributions and summary statistics of the predictive mean. 
653 |a علم الرياضيات  |a المعادلات الرياضية  |a مستخلصات الأبحاث  |a المصفوفات الرياضية 
692 |b Predictive Distribution  |b Bayesian Forecasting  |b Moving Average Models  |b Normal-Gamma Density  |b T Distribution 
773 |4 الاقتصاد  |4 إدارة الأعمال  |6 Economics  |6 Business  |c 027  |e The Financial & Commercial Researches Journal  |f Maǧallaẗ Al-Buḥūṯ Al-Mālīyyaẗ wa Al-Tugariyyaẗ  |l 002  |m ع2  |o 0475  |s مجلة البحوث المالية والتجارية  |v 017  |x 2090-5327 
856 |u 0475-017-002-027.pdf 
930 |d y  |p y  |q n 
995 |a EcoLink 
999 |c 866195  |d 866195 

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