A unified martingale approach is presented for establishing the asymptotic normality of some sequences of random variables. It is applied to the numbers of inversions, rises, and peaks, respectively, as well as the oscillation and the sum of consecutive pair products of a random permutation.
A central limit theorem with applications to random hypergraphs
β Scribed by Peter de Jong
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 691 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1042-9832
No coin nor oath required. For personal study only.
β¦ Synopsis
Define for each subset I C (1,. . . , n} the c+-algebra 9, = m{X, : i E I} with X , , . . . , X , independent random variables. In this paper we consider 9,measurable random variables W, subject to the centering condition E(W, I 9,) = 0 a s .
π SIMILAR VOLUMES
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