MARC details
| 000 -LEADER |
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| fixed length control field |
02006nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ZW-GwMSU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240326100541.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240326b |||||||| |||| 00| 0 eng d |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
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| International Standard Serial Number |
02664666 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MSU |
| Language of cataloging |
English |
| Transcribing agency |
MSU |
| Description conventions |
rda |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
HB139.T52 ECO |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Davidson, James E. H. |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
Representation and weak convergence of stochastic integrals with fractional integrator processes |
| Statement of responsibility, etc. |
created by James Davidson and Nigar Hashimzade |
| 264 1# - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cambridge: |
| Name of producer, publisher, distributor, manufacturer |
Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2009. |
| 336 ## - CONTENT TYPE |
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| Source |
rdacontent |
| Content type term |
text |
| Content type code |
txt |
| 337 ## - MEDIA TYPE |
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| Source |
rdamedia |
| Media type term |
unmediated |
| Media type code |
n |
| 338 ## - CARRIER TYPE |
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| Source |
rdacarrier |
| Carrier type term |
volume |
| Carrier type code |
nc |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Econometric theory |
| Volume/sequential designation |
Volume 25, number 6 |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
This paper considers the asymptotic distribution of the sample covariance of a nonstationary fractionally integrated process with the stationary increments of another such process—possibly itself. Questions of interest include the relationship between the harmonic representation of these random variables, which we have analyzed in a previous paper (Davidson and Hashimzade, 2008), and the construction derived from moving average representations in the time domain. Depending on the values of the long memory parameters and choice of normalization, the limiting integral is shown to be expressible as the sum of a constant and two Itô-type integrals with respect to distinct Brownian motions. In certain cases the latter terms are of small order relative to the former. The mean is shown to match that of the harmonic representation, where the latter is defined, and satisfies the required integration by parts rule. The advantages of our approach over the harmonic analysis include the facts that our formulas are valid for the full range of the long memory parameters and that they extend to non-Gaussian processes. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Theory |
| General subdivision |
Stochastic process |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Hashimzade, Nigar |
| Relator term |
co author |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
https://doi.org/10.1017/S0266466609990260 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Journal Article |