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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Main Authors: JIA Dai-ping1, FAN Hong-da2
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2006-01-01
Series:Tongxin xuebao
Subjects:
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.
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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