Quadratic variations and estimation of the local Holder index of a Gaussian process

被引：243

作者：

Istas, J

Lang, G

机构：

[1] UNIV TOULOUSE 3,LAB STAT & PROBABIL,UA 745 CNRS,F-31062 TOULOUSE,FRANCE

[2] ECOLE NATL GENIE RURAL EAUX & FORETS,F-75732 PARIS 15,FRANCE

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 1997年 / 33卷 / 04期

关键词：

D O I：

10.1016/S0246-0203(97)80099-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study the convergence of a generalisation of the quadratic variations of a Gaussian process. We build a convergent estimator of the local Holder index of the sample paths and prove a central limit theorem.

引用

页码：407 / 436

页数：30

共 24 条

[1]

ADLER J, 1990, LECT NOTES MONOGRAPH, V12

[2] UNIFORM QUADRATIC VARIATION FOR GAUSSIAN-PROCESSES [J].

ADLER, RJ ;

PYKE, R .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1993, 48 (02) :191-209

[3]

AZAIS JM, 1994, EXACT ERROR EVALUATI

[4]

BRUGIERE P, 1991, CR ACAD SCI I-MATH, V312, P999

[5]

Cramer H., 1967, Stationary and Related Stochastic Processes. Sample Function. Properties and Their Applications

[6]

Csorgo M., 1981, Probability and Mathematical Statistics

[7]

Dacunha-Castelle D., 1983, PROBABILITES STAT, V2

[8] ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].

DAUBECHIES, I .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996

[9]

GENONCATALOT V, 1992, SCAND J STAT, V19, P317

[10]

Grenander U., 1981, ABSTRACT INFERENCE

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