Approximation of random sequences
β Scribed by S. A. Anichkin
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 337 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let {X i ; i ΒΏ 1} be a sequence of m-dependent stationary standard Gaussian random variables and u n ; n β N some positive constants. In this note we generalise results of Raab (Extremes 1(3) (1999) 29.), who considered compound Poisson approximation for W n = n i=1 1{X i ΒΏ u n } the number of excee
A subset A of the set [n]=[1, 2, ..., n], |A| =k, is said to form a Sidon (or B h ) sequence, h 2, if each of the sums a 1 +a 2 + } } } +a h , a 1 a 2 } } } a h ; a i # A, are distinct. We investigate threshold phenomena for the Sidon property, showing that if A n is a random subset of [n], then the