BROWNIAN 1ST EXIT FROM AND SOJOURN OVER ONE SIDED MOVING BOUNDARY AND APPLICATION

被引:49
作者
UCHIYAMA, K
机构
来源
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1980年 / 54卷 / 01期
关键词
D O I
10.1007/BF00535355
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
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页码:75 / 116
页数:42
相关论文
共 14 条
[1]  
[Anonymous], 1951, PAC J MATH
[2]   MAXIMAL DISPLACEMENT OF BRANCHING BROWNIAN-MOTION [J].
BRAMSON, MD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1978, 31 (05) :531-581
[3]  
BREIMAN L, 1966, 5 BERK S MATH STAT P, V2, P9
[4]  
Ito K., 1965, DIFFUSION PROCESSES
[5]  
Kesten H., 1978, STOCHASTIC PROCESSES, V7, P9
[6]  
Kolmogorov A.N., 1937, B MOSC U MATH MECH, V1, P1, DOI DOI 10.1016/j.jde.2006.04.010
[7]   1ST EXIT TIME OF A RANDOM-WALK FROM THE BOUNDS F(N)+/-CG(N), WITH APPLICATIONS [J].
LAI, TL ;
WIJSMAN, RA .
ANNALS OF PROBABILITY, 1979, 7 (04) :672-692
[8]  
MCKEAN H. P., 1956, T AM MATH SOC, V82, P519, DOI DOI 10.1090/S0002-9947-1956-0087012-3
[9]   APPLICATION OF BROWNIAN-MOTION TO EQUATION OF KOLMOGOROV-PETROVSKII-PISKUNOV [J].
MCKEAN, HP .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (03) :323-331
[10]   PROBABILITY BOUNDS FOR FIRST EXITS THROUGH MOVING BOUNDARIES [J].
PORTNOY, S .
ANNALS OF PROBABILITY, 1978, 6 (01) :106-117