EXACT PROBABILITIES AND ASYMPTOTIC RELATIONSHIPS FOR SOME STATISTICS FROM M-TH ORDER MARKOV-CHAINS

被引:28
作者
GOODMAN, LA
机构
来源
ANNALS OF MATHEMATICAL STATISTICS | 1958年 / 29卷 / 02期
关键词
D O I
10.1214/aoms/1177706623
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:476 / 490
页数:15
相关论文
共 14 条
[1]   STATISTICAL-INFERENCE ABOUT MARKOV-CHAINS [J].
ANDERSON, TW ;
GOODMAN, LA .
ANNALS OF MATHEMATICAL STATISTICS, 1957, 28 (01) :89-110
[2]   THE FREQUENCY GOODNESS OF FIT TEST FOR PROBABILITY CHAINS [J].
BARTLETT, MS .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1951, 47 (01) :86-95
[3]  
CRAMER H, 1946, MATH METHODS STATIST
[4]  
DAWSON R, 1957, ANN MATH STAT, V28, P838
[5]  
DEBRUIJN NG, 1950, SIMON STEVIN, V4, P203
[6]   SOME ASYMPTOTIC DISTRIBUTION THEORY FOR MARKOV CHAINS WITH A DENUMERABLE NUMBER OF STATES [J].
DERMAN, C .
BIOMETRIKA, 1956, 43 (3-4) :285-294
[7]  
Feller W., 1950, INTRO PROBABILITY TH
[8]  
GOOD IJ, 1957, BIOMETRIKA, V44, P301
[9]   THE LIKELIHOOD RATIO TEST FOR MARKOFF CHAINS [J].
GOOD, IJ .
BIOMETRIKA, 1955, 42 (3-4) :531-533
[10]  
GOODMAN LA, 1958, BIOMETRIKA, V45