Some inequalities of Bonferroni—Galambos type
✍ Scribed by Xiaodong Tan; Yuan Xu
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 191 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let A1, A2,...,Am and Bl, B2 ..... B. be two sequences of events on the same probability space. Let Xm and Y,, respectively, be the numbers of those At and Bj which occur. Improved upper bounds and lower bounds of yt,i = P(X~,(A)>>-1, Y.(B)~> 1) in terms of the bivariate binomial moments Sij are obt
Scan statistics have been extensively used in many areas of science to analyze the occurrence of observed clusters of events in time or space. Since the scan statistics are based on the highly dependent consecutive subsequences of observed data, accurate probability inequalities for their distributi
In this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities.