MOMENTS OF THE DISTRIBUTIONS IN PROBABILISTIC DYNAMICS

被引：7
作者：
DEVOOGHT, J
LABEAU, PE
机构：
[1] Université Libre, Bruxelles Service de Métrologie Nucléaire 50, 1050 Brussels, av. F.D. Roosevelt B
来源：
ANNALS OF NUCLEAR ENERGY | 1995年 / 22卷 / 02期
关键词：
D O I：
10.1016/0306-4549(94)00035-D
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
Let pi(i,(x) over bar,t) be the probability density for a physical system to be in a component state i with physical variables (x) over bar at time t. Its evolution is given by the Chapman-Kolmogorov equation, which is only analytically solvable in very simple cases. In this paper, we show how to obtain the first moments in order of the distributions. These moments are solutions of a large and coupled differential system that we have to close first. A specific algorithm is presented for this problem and is illustrated on different applications.
引用
收藏
页码：97 / 108
页数：12
相关论文
共 9 条
[1]  
CUKLER M, 1991, THESIS U LIBRE BRUXE
[2]   PROBABILISTIC REACTOR DYNAMICS .1. THE THEORY OF CONTINUOUS EVENT TREES [J].
DEVOOGHT, J ;
SMIDTS, C .
NUCLEAR SCIENCE AND ENGINEERING, 1992, 111 (03) :229-240
[3]  
DEVOOGHT J, 1992, AUG NATO ADV RES WOR
[4]  
GORIELY A, 1990, PHYSICS LETT, V145
[5]  
IZQUIERDO JM, 1994, UNPUB RELIABILITY EN
[6]  
KOTZ S, ENCY STATISTICAL SCI, V5
[7]   SYNTHESIS OF MULTIVARIATE DISTRIBUTIONS FROM THEIR MOMENTS FOR PROBABILISTIC DYNAMICS [J].
LABEAU, PE ;
DEVOOGHT, J .
ANNALS OF NUCLEAR ENERGY, 1995, 22 (02) :109-123
[8]  
LABEAU PE, UNPUB
[9]   PROBABILISTIC REACTOR DYNAMICS .2. A MONTE-CARLO STUDY OF A FAST-REACTOR TRANSIENT [J].
SMIDTS, C ;
DEVOOGHT, J .
NUCLEAR SCIENCE AND ENGINEERING, 1992, 111 (03) :241-256
1