✦ LIBER ✦

Characterizations of the dispersive order of distributions by the Laplace transform

✍ Scribed by Jarosław Bartoszewicz

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 331 KB
Volume: 40
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(98)00080-7

No coin nor oath required. For personal study only.

✦ Synopsis

Characterizations of the dispersive order in terms of the Laplace transform are derived from a relation between the dispersive and star orders and recent results of Bartoszewicz (1998). Inequalities for the Laplace transforms of distributions and hazard rate functions are obtained as corollaries. (~

📜 SIMILAR VOLUMES

Estimation of the flotation rate distrib

Estimation of the flotation rate distributions by numerical inversion of the Laplace transform

✍ P.C. Kapur; S.P. Mehrotra 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 420 KB

method for estimation of the distributed apparent rate constant in the kinetic equation describing the recovery of flotable species has been proposed. The flotation rate distribution is recog-

Characterizations of the IFR and DFR agi

Characterizations of the IFR and DFR aging notions by means of the dispersive order

✍ Franco Pellerey; Moshe Shaked 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 259 KB

Characterizations of stochastic orders b

Characterizations of stochastic orders based on ratios of Laplace transforms

✍ Jarosław 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 81 KB

Characterizations of stochastic orders based on ratios of Laplace transforms are derived from characterizations of the hazard rate and reversed hazard rate orders. Inequalities for negative moments of ordered random variables are obtained as corollaries.

Stochastic orders based on the Laplace t

Stochastic orders based on the Laplace transform and infinitely divisible distributions

✍ Jarosław Bartoszewicz 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 101 KB

Recently, Bartoszewicz (1999, Statist. Probab. Lett. 42, 207-212), has given characterizations of stochastic orders based on the Laplace transform and obtained moment inequalities for ordered distributions. In this note, we give some relations between these orders and inÿnitely divisible distributio

The product moments of order statistics

The product moments of order statistics with applications to characterizations of distributions

✍ Gwo Dong Lin 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 610 KB

Algebraic inversion of the Laplace trans

Algebraic inversion of the Laplace transform

✍ P.G. Massouros; G.M. Genin 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 391 KB

## A new algebraic scheme for reverting Laplace transforms of smooth functions is presented. Expansion of the Laplace transform F(s) m descending powers of s is used to construct the Taylor semes of the corresponding time function f(t) This is done through entirely algebraic evaluatmns of F(s) at s