Computation of moments for the length of the one dimensional ISE support

Jean François Delmas

doi:10.1214/EJP.v8-161

Computation of moments for the length of the one dimensional ISE support

Jean François Delmas

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We consider in this paper the support [L’, R’] of the one dimensional Integrated Super Brownian Excursion. We determine the distribution of (R’, L’) through a modified Laplace transform. Then we give an explicit value for the first two moments of R0 as well as the covariance of R’ and L’.

langue originale	Anglais
Pages (de - à)	1-15
Nombre de pages	15
journal	Electronic Journal of Probability
Volume	8
Les DOIs	https://doi.org/10.1214/EJP.v8-161
état	Publié - 1 janv. 2003

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title = "Computation of moments for the length of the one dimensional ISE support",

abstract = "We consider in this paper the support [L{\textquoteright}, R{\textquoteright}] of the one dimensional Integrated Super Brownian Excursion. We determine the distribution of (R{\textquoteright}, L{\textquoteright}) through a modified Laplace transform. Then we give an explicit value for the first two moments of R0 as well as the covariance of R{\textquoteright} and L{\textquoteright}.",

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AB - We consider in this paper the support [L’, R’] of the one dimensional Integrated Super Brownian Excursion. We determine the distribution of (R’, L’) through a modified Laplace transform. Then we give an explicit value for the first two moments of R0 as well as the covariance of R’ and L’.

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JO - Electronic Journal of Probability

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Computation of moments for the length of the one dimensional ISE support

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