Titlebook: Asymptotic Methods in Probability and Statistics with Applications; N. Balakrishnan,I. A. Ibragimov,V. B. Nevzorov Book 2001 Springer Scie

Dysarthria

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莎草

A Brief History of Photography,We consider the laws of Gaussian random elements arising from randomization procedures in ergodic theory and real analysis. We find sufficient conditions for the tightness of the corresponding families in the spaces C[0, 1] and L.[0, 1] and demonstrate some crucial situations where tightness does not take place.

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JIBE

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Springer Tracts in Natural PhilosophyThe double sum method of evaluation of probabilities of large deviations for Gaussian processes with non-zero expectations is developed. Asymptotic behaviors of the tail of non-centered locally stationary Gaussian fields indexed on smooth manifolds are evaluated. In Particular, smooth Gaussian fields on smooth manifolds are considered.

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Expiration

https://doi.org/10.1007/978-1-4302-0568-5In this chapter, we prove local limit theorems for Gibbs-Markov processes in the domain of attraction of normal distributions.

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Characterization and Stability Problems for Finite Quadratic FormsSufficient conditions are given under which the distribution of a finite quadratic form in independent identically distributed symmetric random variables defines uniquely the underlying distribution. Moreover, a stability theorem for quadratic forms is proved.

BET

On a Class of Pseudo-Isotropic DistributionsA class of distributions of random vectors in ?., such that distribution of any linear statistics belongs to the same multiplicative type, is considered. Results are then developed for the description of translated moments of linear statistics.