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

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Summary

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). , are approximated by values of a certain sufficiently simple function 1 = 1

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

. . ) (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
SKU Unavailable
ISBN 13 9781461293255
ISBN 10 1461293251
Title Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series
Author K Dzhaparidze
Series Springer Series In Statistics
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2011-09-27
Number of pages 324
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.