ON THE POWER FUNCTION OF THE LONGEST RUN AS A TEST FOR RANDOMNESS IN A SEQUENCE OF ALTERNATIVES
成果类型：
Article
署名作者：
BATEMAN, G
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2332632
发表日期：
1948
页码：
97112
关键词：
摘要：
The distr. of the longest run in a sequence of alternatives, with unequal numbers of elements of each kind, is given for the cases of independent sequences, simple Markoff chains and 2d-order Markoff chains. Numerical results are obtained for sequences of length 10-20. In each case, comparison is made of the power functions of longest run and of number of groups. For the case of independence, it would appear that the test of number of groups is uniformly better.