ENGLISH

Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series

By K. Dzhaparidze (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1986
ISBN
978-1-4612-9325-5, 978-1-4612-4842-2
DOI
10.1007/978-1-4612-4842-2
Language
english
Format
PDF
Filesize
24 MB (25442070 bytes)
Series
Springer Series in Statistics
Edition
1
Pages
324\330
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
generalStatistics

Description

. . ) (under the assumption that the spectral density exists). For this reason, a vast amount of periodical and monographic literature is devoted to the nonparametric statistical problem of estimating the function tJ( T) and especially that of leA) (see, for example, the books [4,21,22,26,56,77,137,139,140,]). However, the empirical value t;; of the spectral density I obtained by applying a certain statistical procedure to the observed values of the variables Xl' . . . , X , usually depends in n a complicated manner on the cyclic frequency). . This fact often presents difficulties in applying the obtained estimate t;; of the function I to the solution of specific problems rela ted to the process X . Theref ore, in practice, the t obtained values of the estimator t;; (or an estimator of the covariance function tJ~( T» are almost always "smoothed," i. e. , are approximated by values of a certain sufficiently simple function 1 = 1

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