Probability Inequalities for n-Dimensional Rectangles via Multivariate Majorization

1989 ◽  
pp. 146-159 ◽  
Author(s):  
Y. L. Tong
Keyword(s):  
Probability Inequalities

Some remarks on probability inequalities for sums of bounded convex random variables

1975 ◽  
Vol 12 (1) ◽  
pp. 155-158 ◽  
Author(s):  
M. Goldstein
Keyword(s):  
Convex Function ◽  
Exponential Convergence ◽  
Random Variables ◽  
Upper Bounds ◽  
Independent Random Variables ◽  
Probability Inequalities ◽  
Continuous Convex Function ◽  
Bounded Convex

Let X1, X2, · ··, Xn be independent random variables such that ai ≦ Xi ≦ bi, i = 1,2,…n. A class of upper bounds on the probability P(S−ES ≧ nδ) is derived where S = Σf(Xi), δ > 0 and f is a continuous convex function. Conditions for the exponential convergence of the bounds are discussed.

Two New Probability Inequalities with Limit Theorem Applications

2021 ◽  
Vol 42 (2) ◽  
pp. 336-341
Author(s):  
Deli Li ◽  
Andrew Rosalsky
Keyword(s):  
Limit Theorem ◽  
Probability Inequalities

Probability Inequalities

2013 ◽  
pp. 109-121
Author(s):  
Roberto Tempo ◽  
Giuseppe Calafiore ◽  
Fabrizio Dabbene
Keyword(s):  
Probability Inequalities

Lectures on Topics in Probability Inequalities.

1988 ◽  
Vol 151 (3) ◽  
pp. 555
Author(s):  
M. S. Bingham ◽  
M. L. Easton
Keyword(s):  
Probability Inequalities

Probability inequalities for quadratic forms

1990 ◽  
Vol 19 (5) ◽  
pp. 1863-1874
Author(s):  
Laurie M. Meaux ◽  
John W. Seanam
Keyword(s):  
Quadratic Forms ◽  
Probability Inequalities
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