We prove that Linnik distributions are geometrically infinitely divisible, and clarify a characterization theorem for Linnik distributions concerning the stability of geometric summation. An explicit expression for absolute moments of Linnik distributions is also given.
A note on Rosenblatt distributions
β Scribed by J.M.P. Albin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 362 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Rosenblatt processes are functional limits in non-central limit theorems for strongly dependent Gaussian sequences. Using local limit techniques we show that their marginal distributions belong to the Type I domain of attraction of extremes. This in turn makes it possible to obtain bounds on local extremes for Rosenblatt processes. (~
π SIMILAR VOLUMES
The comedian COM(X, Y) of random variables X, Y is a median based robust alternative to the covariance of X of Y. For the bivariate normal case it is known that COM(X, Y ), standardized by the median absolute deviations of X and Y, is a symmetric, strictly increasing and continuous function of the c