scholarly journals Maximizing $E \max_{1 \leq k \leq n} S^+_k/ES^+_n$: A Prophet Inequality for Sums of I.I.D. Mean Zero Variates

1989 ◽  
Vol 17 (3) ◽  
pp. 1243-1247 ◽  
Author(s):  
Michael J. Klass
Keyword(s):  
Inequality For Sums

The Esseen inequality for sums of a random number of differently distributed random variables

1977 ◽  
Vol 22 (1) ◽  
pp. 569-571 ◽  
Author(s):  
Kh. Batirov ◽  
D. V. Manevich ◽  
S. V. Nagaev
Keyword(s):  
Random Number ◽  
Random Variables ◽  
Esseen Inequality ◽  
Inequality For Sums

An Improvement of Minkowski’s Inequality for Sums

2014 ◽  
Vol 998-999 ◽  
pp. 984-987
Author(s):  
Hui Yu Tang ◽  
Guang Sheng Chen
Keyword(s):  
Minkowski Inequality ◽  
Minkowski’S Inequality ◽  
Inequality For Sums

In the paper, we establish an improvement of Minkowski inequality for sums. Its reverse version is also given.).

scholarly journals A probability inequality for sums of independent Banach space valued random variables

Stochastics ◽  
2017 ◽  
Vol 90 (2) ◽  
pp. 214-223
Author(s):  
Deli Li ◽  
Han-Ying Liang ◽  
Andrew Rosalsky
Keyword(s):  
Banach Space ◽  
Random Variables ◽  
Probability Inequality ◽  
Inequality For Sums
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