MINIMAXITY OF THE BEST INVARIANT ESTIMATOR OF A DISTRIBUTION FUNCTION UNDER THE KOLMOGOROV-SMIRNOV LOSS

成果类型:
Article
署名作者:
YU, QQ; PHADIA, E
署名单位:
William Paterson University New Jersey
刊物名称:
ANNALS OF STATISTICS
ISSN/ISSBN:
0090-5364
DOI:
10.1214/aos/1176348914
发表日期:
1992
页码:
2192-2195
关键词:
摘要:
For the invariant decision problem of estimating a continuous distribution function with the Kolmogorov-Smirnov loss, it is proved that the best invariant estimator is minimax.