ARMA model;
GARCH in mean effects;
optimal predictor;
autocovariances;
D O I:
10.1111/1467-9892.00241
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
This paper considers forecasting the conditional mean and variance from an ARMA model with LARCH in mean effects. Expressions for the optimal predictors and their conditional and unconditional MSEs are presented. We also derive the formula for the covariance structure of the process and its conditional variance.
机构:
Univ Ljubljana, Fac Math & Phys, Jadranska 19, SI-1000 Ljubljana, Slovenia
Xlab Doo, Pot Brdom 100, SI-1000 Ljubljana, SloveniaUniv Ljubljana, Fac Math & Phys, Jadranska 19, SI-1000 Ljubljana, Slovenia
Sirca, Spela Jezernik
Omladic, Matjaz
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机构:
Inst Math Phys & Mech, Jadranska 19, SI-1000 Ljubljana, SloveniaUniv Ljubljana, Fac Math & Phys, Jadranska 19, SI-1000 Ljubljana, Slovenia
机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Liu, Qi
Zhang, Guanlan
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机构:
City Univ Hong Kong, Coll Sci & Engn, Hong Kong, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Zhang, Guanlan
Ali, Shahzad
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机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Ali, Shahzad
Wang, Xiaopeng
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h-index: 0
机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Wang, Xiaopeng
Wang, Guodong
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h-index: 0
机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Wang, Guodong
Pan, Zhenkuan
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机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Pan, Zhenkuan
Zhang, Jiahua
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机构:
Qingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China
Univ Chinese Acad Sci, Beijing 100049, Peoples R ChinaQingdao Univ, Excellent Res Ctr Space Informat & Earth Big Data, Sch Comp Sci & Technol, Shandong 266071, Peoples R China