Affiliation:
1. Indian Statistical Institute, Calcutta
2. University of Poona, India
Abstract
Two life distributions F and G can be ordered with respect to their Laplace transforms. We say that F is Laplacelarger than G if [Formula: see text] for all s ⩾ 0, where [Formula: see text]. Let F be a distribution function with finite mean µ. Then F is said to belong to the L-class of life distributions if F is Laplace-larger than G, where G is exponential with the same mean µ. In this paper we obtain a lower bound on [Formula: see text] in terms of µ. Some applications are indicated through examples.
Cited by
4 articles.
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1. A note on the ℒ-class of life distributions;Journal of Applied Probability;2002-03
2. A note on the ℒ-class of life distributions;Journal of Applied Probability;2002-03
3. Characterizations of the -class of life distributions;Statistics & Probability Letters;1998-10
4. Testing exponentiality against L-distributions;Journal of Statistical Planning and Inference;1997-11