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Central limit theorem for mean and variogram estimators in Lévy–based models

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Abstract We consider an infinitely divisible random field in ℝd given as an integral of a kernel function with respect to a Lévy basis. Under mild regularity conditions, we derive… Click to show full abstract

Abstract We consider an infinitely divisible random field in ℝd given as an integral of a kernel function with respect to a Lévy basis. Under mild regularity conditions, we derive central limit theorems for the moment estimators of the mean and the variogram of the field.

Keywords: variogram estimators; mean variogram; central limit; theorem mean; limit theorem

Journal Title: Journal of Applied Probability
Year Published: 2019

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