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A sieve method for the spectral density

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Publication:1074997
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DOI10.1214/aos/1176349652zbMath0591.62078OpenAlexW2065954163MaRDI QIDQ1074997

Ulf Grenander, Yunshyong Chow

Publication date: 1985

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176349652


zbMATH Keywords

consistencyspectral density estimationmaximum likelihood methodstrongabsolutely continuous spectral densitylikelihood functionalreal stationary Gaussian stochastic sequencesieve type estimatorsToeplitz approximation


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Inference from stochastic processes and spectral analysis (62M15)


Related Items (4)

Analysis of batched service time data using Gaussian and semi-parametric kernel models ⋮ A semi-parametric estimation method for the quantile spectrum with an application to earthquake classification using convolutional neural network ⋮ Penalized Whittle likelihood for spatial data ⋮ Using \(M\)-type smoothing splines to estimate the spectral density of a stationary time series






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