论文信息 - L'Hospital type rules for monotonicity: Applications to probability inequalities for sums of bounded random variables. - 字舞流文

L'Hospital type rules for monotonicity: Applications to probability inequalities for sums of bounded random variables.

This paper continues a series of results begun by a l’Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent random variables.

Iosif Pinelis | I. Pinelis | I. Pinelis

[1] Yu. V. Prokhorov. An Extremal Problem in Probability Theory , 1959 .

[2] I. Pinelis,et al. L'Hospital type results for monotonicity, with applications. , 2002 .

[3] H. B. Mann,et al. On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other , 1947 .

[4] MONOTONICITY PROPERTIES OF THE RELATIVE ERROR OF A PADÉ APPROXIMATION FOR MILLS’ RATIO , 2002 .

[5] I. Pinelis. Extremal Probabilistic Problems and Hotelling's $T^2$ Test Under a Symmetry Condition , 1994, math/0701806.

[6] Iosif Pinelis. L'Hospital type rules for oscillation, with applications. , 2001 .

[7] Morris L. Eaton,et al. A Probability Inequality for Linear Combinations of Bounded Random Variables , 1974 .

[8] I. Pinelis. Optimal Tail Comparison Based on Comparison of Moments , 1998 .

[9] I. Pinelis. On Exact Maximal Khinchine Inequalities , 2000 .

[10] M. Okamoto. Some inequalities relating to the partial sum of binomial probabilities , 1959 .

[11] M. Hallin,et al. Improved Eaton bounds for linear combinations of bounded random variables , 1993 .

[12] G. Bennett. Probability Inequalities for the Sum of Independent Random Variables , 1962 .

[13] R. Savage. Probability inequalities of the Tchebycheff type , 1961 .

[14] E. L. Lehmann,et al. Consistency and Unbiasedness of Certain Nonparametric Tests , 1951 .