Chinese Quarterly Journal of Mathematics ›› 1993, Vol. 8 ›› Issue (3): 52-56.

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Strong Consistency for the Kernal Estimates of the Random Window Width of the Density Function and its Derivatives Under Φ-Mixing Samples

  

  1. Henan University
  • Received:1992-05-13 Online:1993-09-30 Published:2025-05-29
  • Supported by:
    Supported by Natural Science Foundation of Henan Province Commission of Foundation

Abstract: In the paper,we study the strong uniform consistency for the kernal estimates of randomwindow wIth of density function and its derivatives under the condition that the sequence {Xn} of the  are the identically Φ-mixing random variabks.

Key words: mixing sampke, probability density function, random window width, kenal estimatc,  , mixing sampke, probability density function, random window width, kenal estimatc,
trong uniorm consistency
trong uniorm consistency