Publication:

Asymptotic properties of the maximum likelihood and cross validation estimators for transformed Gaussian processes

Date

Date

Date
2020
Journal Article
Published version

Citations

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Bachoc, F., Betancourt, J., Furrer, R., & Klein, T. (2020). Asymptotic properties of the maximum likelihood and cross validation estimators for transformed Gaussian processes. Electronic Journal of Statistics, 14, 1962–2008. https://doi.org/10.1214/20-ejs1712

Abstract

Abstract

Abstract

The asymptotic analysis of covariance parameter estimation of Gaussian processes has been subject to intensive investigation. However, this asymptotic analysis is very scarce for non-Gaussian processes. In this paper, we study a class of non-Gaussian processes obtained by regular non-linear transformations of Gaussian processes. We provide the increasing-domain asymptotic properties of the (Gaussian) maximum likelihood and cross validation estimators of the covariance parameters of a non-Gaussian process of this class. We show that th

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23 since deposited on 2020-10-02
Acq. date: 2025-11-13

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103 since deposited on 2020-10-02
Acq. date: 2025-11-13

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Creators (Authors)

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
14

Number

Number

Number
1

Page range/Item number

Page range/Item number

Page range/Item number
1962

Page end

Page end

Page end
2008

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Statistics and Probability

Language

Language

Language
English

Publication date

Publication date

Publication date
2020-01-01

Date available

Date available

Date available
2020-10-02

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
1935-7524

OA Status

OA Status

OA Status
Gold

Free Access at

Free Access at

Free Access at
DOI

Metrics

Downloads

23 since deposited on 2020-10-02
Acq. date: 2025-11-13

Views

103 since deposited on 2020-10-02
Acq. date: 2025-11-13

Citations

Citation copied

Bachoc, F., Betancourt, J., Furrer, R., & Klein, T. (2020). Asymptotic properties of the maximum likelihood and cross validation estimators for transformed Gaussian processes. Electronic Journal of Statistics, 14, 1962–2008. https://doi.org/10.1214/20-ejs1712

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