Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance
Anh, Vo V., Knopova, Viktoriya P., & Leonenko, Nikolai N. (2004) Continuous-Time Stochastic Processes with Cyclical Long-Range Dependance. Australian and New Zealand Journal of Statistics, 46(2), pp. 275-296.
We introduce continuous-time random processes whose spectral density is unbounded at some non-zero frequencies. The discretized versions of these processes have asymptotic properties similar to those of discrete-time Gegenbauer processes. We present some properties of the covariance function and spectral density as well as a theory of statistical estimation of the mean and covariance function of such processes. Some direction for further generalizations of the results are indicated.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Journal Article|
|Keywords:||continuous, time processes, simgular spectrum, long, range dependance, Gegenbauer process|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Stochastic Analysis and Modelling (010406)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2004 Blackwell Publishing|
|Copyright Statement:||The definitive version is available at www.blackwell-synergy.com|
|Deposited On:||14 Sep 2004|
|Last Modified:||29 Feb 2012 23:03|
Repository Staff Only: item control page