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Convergence de I estimateur a noyau de derivees de Radon‐Nikodym generales dans le cas melangeant
Author(s) -
Bensaid Nadia,
Fabre JeanPierre
Publication year - 1998
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315510
Subject(s) - estimator , mathematics , point process , kernel (algebra) , mixing (physics) , combinatorics , statistics , physics , quantum mechanics
In many situations, nonparametric inference in point‐process theory consists in estimating a Radon‐Nikodym derivative of a nonnegative measure p with respect to another nonnegative measure v, where p and v are intensities of point processes. We consider the case of a mixing andstrictly stationary sequence of point processes and establish convergence results for the kernel estimator.