Lp-consistency of multivariate density estimates

  • Ibrahim A. Ahmad


Lp notion of the weak, mean, and strong consistency of the kernel method of multivariate density estimation is proposed and studied. The results expand, unify, or generalize most known results in the literature. Rates of convergence in mean and strongLp-consistencies are presented.

AMS 1970 subject classification

Primary 62G05 

Key words and phrases

Density estimation kernel method Lp-consistency rates of convergence 


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Copyright information

© The Institute of Statistical Mathematics, Tokyo 1982

Authors and Affiliations

  • Ibrahim A. Ahmad
    • 1
  1. 1.University of Petroleum and MineralsSaudi Arabia

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