Approach for extending sequence memory based on fractionally differenced model
Based on the decorrelation and frequency-band partitions of DWT for long memory process (LMP), a ap-proximating covariance matrix was given and a related transform was constructed, which could transform an IID stochas-tic vector into a sample realization of fractionally differenced (FD) process. To...
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Language: | zho |
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Editorial Department of Journal on Communications
2006-01-01
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Series: | Tongxin xuebao |
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Online Access: | http://www.joconline.com.cn/zh/article/74661025/ |
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author | JIA Dai-ping1 FAN Hong-da2 |
author_facet | JIA Dai-ping1 FAN Hong-da2 |
author_sort | JIA Dai-ping1 |
collection | DOAJ |
description | Based on the decorrelation and frequency-band partitions of DWT for long memory process (LMP), a ap-proximating covariance matrix was given and a related transform was constructed, which could transform an IID stochas-tic vector into a sample realization of fractionally differenced (FD) process. To carry out this transform, a physical quan-tity called sub-band variance was proposed and computed under the FD parameters specified. At last, construction sam-ples were compared with theoretical model, and their statistical properties were checked in two ways. Computing results validate that the algorithm presented is feasible, rational and effective in a statistical sense. |
format | Article |
id | doaj-art-9ce0197b05384363be7ee8d8e645a7cc |
institution | Kabale University |
issn | 1000-436X |
language | zho |
publishDate | 2006-01-01 |
publisher | Editorial Department of Journal on Communications |
record_format | Article |
series | Tongxin xuebao |
spelling | doaj-art-9ce0197b05384363be7ee8d8e645a7cc2025-01-14T08:37:44ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2006-01-01667074661025Approach for extending sequence memory based on fractionally differenced modelJIA Dai-ping1FAN Hong-da2Based on the decorrelation and frequency-band partitions of DWT for long memory process (LMP), a ap-proximating covariance matrix was given and a related transform was constructed, which could transform an IID stochas-tic vector into a sample realization of fractionally differenced (FD) process. To carry out this transform, a physical quan-tity called sub-band variance was proposed and computed under the FD parameters specified. At last, construction sam-ples were compared with theoretical model, and their statistical properties were checked in two ways. Computing results validate that the algorithm presented is feasible, rational and effective in a statistical sense.http://www.joconline.com.cn/zh/article/74661025/stochastic sequenceextending memorysub-band variancefractionally differencingpyramid algorithmparameter estimation |
spellingShingle | JIA Dai-ping1 FAN Hong-da2 Approach for extending sequence memory based on fractionally differenced model Tongxin xuebao stochastic sequence extending memory sub-band variance fractionally differencing pyramid algorithm parameter estimation |
title | Approach for extending sequence memory based on fractionally differenced model |
title_full | Approach for extending sequence memory based on fractionally differenced model |
title_fullStr | Approach for extending sequence memory based on fractionally differenced model |
title_full_unstemmed | Approach for extending sequence memory based on fractionally differenced model |
title_short | Approach for extending sequence memory based on fractionally differenced model |
title_sort | approach for extending sequence memory based on fractionally differenced model |
topic | stochastic sequence extending memory sub-band variance fractionally differencing pyramid algorithm parameter estimation |
url | http://www.joconline.com.cn/zh/article/74661025/ |
work_keys_str_mv | AT jiadaiping1 approachforextendingsequencememorybasedonfractionallydifferencedmodel AT fanhongda2 approachforextendingsequencememorybasedonfractionallydifferencedmodel |