Volume 3,  Issue 1, 2002

Article 7

L'HOSPITAL TYPE RULES FOR MONOTONICITY: APPLICATIONS TO PROBABILITY INEQUALITIES FOR SUMS OF BOUNDED RANDOM VARIABLES

IOSIF PINELIS

DEPARTMENT OF MATHEMATICAL SCIENCES, 
MICHIGAN TECHNOLOGICAL UNIVERSITY, 
HOUGHTON, MI 49931, USA
E-Mail: ipinelis@mtu.edu

Received 29 January, 2001; Accepted 6 September, 2001.
Communicated by: C.E.M. Pearce

ABSTRACT.   
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.
Key words:
L'Hospital's Rule, Monotonicity, Probability inequalities, Sums of independent random variables, Student's statistic

2000 Mathematics Subject Classification:
Primary: 26A48, 26D10, 60E15; Secondary: 26D07, 62H15, 62F04, 62F35, 62G10, 62G15.

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