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On L 1-consistency of kernel-type density estimator for stationary markov processes
Authors:M. N. Mishra  B. L. S. Prakasa Rao
Affiliation:1. Department of Statistics , Sambalpur University , Sambalpur, Orissa, 768 019, India;2. Indian Statistical Institute , 203, B.T. Road, Calcutta, 700 035, India
Abstract:
A convergence result for kernel type density estimators, proved by Devroye and Gyrofi (1985), is extended to stationary Markov processess satisfying (G 2-condition introduced by Rosenblatt (1970).
Keywords:Recursive estimation  Stationary Markov process  L 1-consistency  G 2-condition
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