SOME FURTHER RESULTS ON THE HEIGHT OF LATTICE PATHS

被引:1
作者
KATZENBEISSER, W
PANNY, W
机构
[1] UNIV ECON,DEPT STAT,A-1090 VIENNA,AUSTRIA
[2] UNIV ECON,DEPT APPL COMP SCI,A-1090 VIENNA,AUSTRIA
关键词
LATTICE PATHS; SIMPLE RANDOM WALKS; RANK ORDER STATISTICS; ASYMPTOTIC EXPANSIONS;
D O I
10.1016/0378-3758(93)90002-N
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 ;
摘要
This paper deals with the joint and conditional distributions concerning the maximum of random walk paths and the number of times this maximum is achieved. This joint distribution was studied first by Dwass (1967). Based on his result, the correlation and some conditional moments are derived. The main contributions are however asymptotic expansions concerning the conditional distribution and conditional moments.
引用
收藏
页码:171 / 181
页数:11
相关论文
共 13 条
[1]  
Abramowitz M.., 1972, HDB MATH FUNCTIONS
[2]  
[Anonymous], 1985, STUD SCI MATH HUNG, V20, P119
[3]  
Durbin J., 1973, SOC IND APPL MATH
[4]   SIMPLE RANDOM WALK AND RANK ORDER STATISTICS [J].
DWASS, M .
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (04) :1042-&
[5]  
Graham R. L., 1989, CONCRETE MATH
[6]   ASYMPTOTIC RESULTS ON THE MAXIMAL DEVIATION OF SIMPLE RANDOM-WALKS [J].
KATZENBEISSER, W ;
PANNY, W .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1984, 18 (02) :263-275
[7]  
KATZENBEISSER W, 1984, 4TH P PANN S MATH ST, P167
[8]   ASYMPTOTIC EXPANSIONS FOR THE SMIRNOV TEST AND FOR THE RANGE OF CUMULATIVE SUMS [J].
KEMPERMAN, JHB .
ANNALS OF MATHEMATICAL STATISTICS, 1959, 30 (02) :448-462
[9]  
Knuth D.E., 1997, ART COMPUTER PROGRAM, V3
[10]  
PANNY W, 1984, MAXIMAL DEVIATION LA