Some bounds in the class of L-distributions
The L-property is the most general {open_quotes}aging{close_quotes} property of distribution functions (d.f.s.). According to this property, the Laplace-Stieltjes transform (LST) of the corresponding d.f. F satisfies the inequality F(s){le}(1+{mu}s){sup {minus}1}, where F(s) = {integral}{sub 0} e{sup {minus}su}dF(u) and {mu} is the mean. The -property has been introduced and is widely used in reliability theory. An important component of probabilistic analysis of systems is the ability to estimate the closeness of the probability of normal operation to the exponential distribution. The {open_quotes}exponential approximation{close_quotes} error has been studied in detail for particular {open_quotes}aging{close_quotes} properties. In this article, we consider this problem for L-distributions. For d.f.s with this property we also derive other bounds that are already known for narrower classes {open_quotes}aging{close_quotes} distributions.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 457584
- Journal Information:
- Cybernetics and Systems Analysis, Vol. 31, Issue 1; Other Information: PBD: Sep 1995; TN: Translated from Kibernetika i Sistemnyi Analiz; No. 1, 183-186(Jan-Feb 1995)
- Country of Publication:
- United States
- Language:
- English
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