ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (4): 457-462.

ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

朱力行

Inst. of Appl. Math., Academia Sinica, Beijing 100080, China

收稿日期:1990-08-31 出版日期:1992-12-25 发布日期:1992-12-25

ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

Zhu Lixing

Inst. of Appl. Math., Academia Sinica, Beijing 100080, China

Received:1990-08-31 Online:1992-12-25 Published:1992-12-25

摘要/Abstract

摘要： In this paper, we give some results for checking the measurability of functional of empirical processes, their direct applications concern with the measurability of statistics constructed by Projection Pursuit technique, thus the results obtained provide a basis in theory for projection pursuit study.

朱力行. ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES[J]. 数学物理学报(英文版), 1992, 12(4): 457-462.

Zhu Lixing. ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES[J]. Acta mathematica scientia,Series B, 1992, 12(4): 457-462.

ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

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