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Wavelet-Based Minimum Contrast Estimation of Linear Gaussian Random Fields

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Recent Advances in Functional Data Analysis and Related Topics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

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Abstract

Weak consistency of the wavelet periodogram is established for a class of linear Gaussian random fields, considering a Haar type isotropic wavelet basis. A minimum contrast estimation procedure is introduced and the weak consistency of the estimator is derived, following the methodology introduced by Ruiz-Medina and Crujeiras (2011).

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References

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Correspondence to Rosa M. Crujeiras .

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© 2011 Springer-Verlag Berlin Heidelberg

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Crujeiras, R.M., Ruiz-Medina, MD. (2011). Wavelet-Based Minimum Contrast Estimation of Linear Gaussian Random Fields. In: Ferraty, F. (eds) Recent Advances in Functional Data Analysis and Related Topics. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2736-1_10

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