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.
Correction to “A principle of subsequences in probability theory: The central limit theorem”
✍ Scribed by S.D Chatterji
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 108 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Reiter [3] has developed a general theory of diagnosis based on first principles. His algorithm computes all diagnoses which explain the differences between the predicted and observed behavior of a given system. Unfortunately, Reiter's description of the algorithm is incorrect in that some diagnoses
Born approximation is investigated in detail using time-dependent perturbation theory, and it is found that the center-of-mass (CM) frame is particularly convenient to work in. Transformation equations relating the lab and CM frames are developed. Those parts of the second-Born amplitude which corre