Acta mathematica scientia,Series B ›› 1992, Vol. 12 ›› Issue (4): 457-462.

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ON THE MEASURABILITY FOR FUNCTIONAL OF EMPIRICAL PROCESSES

Zhu Lixing   

  1. Inst. of Appl. Math., Academia Sinica, Beijing 100080, China
  • Received:1990-08-31 Online:1992-12-25 Published:1992-12-25

Abstract: 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.

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