We consider transformed diffeomorphic kernel estimator of the hazard rate function in the multiplicative intensity model of point processes. The estimator is defined on the ground of Ramlau-Hansen estimator. Property of the proposed estimator, i.e. asymptotical unbiased-ness, consistency and asymptotical normality, are presented. Important results for the bias of estimated function at boundary points are obtained. Some simulation results comparing the estimator obtained with the Ramlau-Hansen estimator are also showed.
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