Multidimensional stationary time series (Record no. 129737)

000 -LEADER
fixed length control field 03429cam a2200445Mi 4500
001 - CONTROL NUMBER
control field 9781003107293
003 - CONTROL NUMBER IDENTIFIER
control field FlBoTFG
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220509193109.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr |||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210203s2021 flua fob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency OCoLC-P
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency OCoLC-P
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1000392392
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781003107293
-- (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 100310729X
-- (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781000392401
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1000392406
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781000392395
-- (electronic bk. : PDF)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1245420122
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC-P)1245420122
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA278
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 029050
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 029020
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.5/35
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bolla, Marianna,
Relator term author.
245 10 - TITLE STATEMENT
Title Multidimensional stationary time series
Remainder of title dimension reduction and prediction /
Statement of responsibility, etc Marianna Bolla, Tamas Szabados.
264 #1 -
-- Boca Raton :
-- Chapman & Hall/CRC,
-- 2021.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource
Other physical details illustrations (black and white)
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
520 ## - SUMMARY, ETC.
Summary, etc This book gives a brief survey of the theory of multidimensional (multivariate), weakly stationary time series, with emphasis on dimension reduction and prediction. Understanding the covered material requires a certain mathematical maturity, a degree of knowledge in probability theory, linear algebra, and also in real, complex and functional analysis. For this, the cited literature and the Appendix contain all necessary material. The main tools of the book include harmonic analysis, some abstract algebra, and state space methods: linear time-invariant filters, factorization of rational spectral densities, and methods that reduce the rank of the spectral density matrix. * Serves to find analogies between classical results (Cramer, Wold, Kolmogorov, Wiener, Klmn, Rozanov) and up-to-date methods for dimension reduction in multidimensional time series.* Provides a unified treatment for time and frequency domain inferences by using machinery of complex and harmonic analysis, spectral and Smith--McMillan decompositions. Establishes analogies between the time and frequency domain notions and calculations.* Discusses the Wold's decomposition and the Kolmogorov's classification together, by distinguishing between different types of singularities. Understanding the remote past helps us to characterize the ideal situation where there is a regular part at present. Examples and constructions are also given. * Establishes a common outline structure for the state space models, prediction, and innovation algorithms with unified notions and principles, which is applicable to real-life high frequency time series. It is an ideal companion for graduate students studying the theory of multivariate time series and researchers working in this field.
588 ## -
-- OCLC-licensed vendor bibliographic record.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Multivariate analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dimension reduction (Statistics)
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Probability & Statistics / Multivariate Analysis
Source of heading or term bisacsh
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Szabados, Tamás,
Relator term author.
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified Taylor & Francis
Uniform Resource Identifier https://www.taylorfrancis.com/books/9781003107293
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified OCLC metadata license agreement
Uniform Resource Identifier http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf

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