Asymptotic Approximations for the Extreme Value Distribution of Nonstationary Differentiable Normal Processes

作者: Karl Breitung

DOI: 10.1007/978-94-009-3859-5_17

关键词: Asymptotic distributionMathematicsLaplace transformSample (statistics)Process (computing)Mathematical analysisGeneralized extreme value distributionDifferentiable function

摘要: For the crossing rates of nonstationary normal processes with differentiable sample paths asymptotic approximations are derived using method Laplace. These results used for obtaining bounds extreme value distribution process.

参考文章(5)
Norman Bleistein, Richard A. Handelsman, Asymptotic Expansions of Integrals ,(1975)
Patrick Billingsley, Probability and Measure ,(1979)
Simeon M. Berman, The maximum of a Gaussian process with nonconstant variance Annales De L Institut Henri Poincare-probabilites Et Statistiques. ,vol. 21, pp. 383- 391 ,(1985)
J. B. Parker, H. Cramer, M. R. Leadbetter, Stationary and Related Stochastic Processes. The Statistician. ,vol. 18, pp. 70- ,(1968) , 10.2307/2987169
Richard A. Davis, M. R. Leadbetter, Georg Lindgren, Holger Rootzen, Extremes and Related Properties of Random Sequences and Processes. Journal of the American Statistical Association. ,vol. 80, pp. 251- ,(1985) , 10.2307/2288102