BOUNDS ON DENSITIES AND HAZARD RATES
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA
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Sharp upper and lower bounds are derived for hazard rates and densities of distributions with monotone hazard rate. These bounds are related to Chebyshev inequalities in that they are obtained under the condition that certain moments are known. Similar bounds are also obtained when the density is a Polya frequency function of order two.
- Statistics and Probability