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Nonparametric inference for thinned point process

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  • Bensaïd, Nadia

Abstract

We consider possibly dependent data N1', ..., Nn' of the p-thinning N' of a point process N and construct estimators and of the thinning function p and of the Laplace functional of N. Under mixing conditions we prove the mean square convergence of , the uniform almost sure convergence of and and the asymptotic normality of .

Suggested Citation

  • Bensaïd, Nadia, 1997. "Nonparametric inference for thinned point process," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 253-258, May.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:3:p:253-258
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    References listed on IDEAS

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    1. Karr, Alan F., 1985. "Inference for thinned point processes, with application to Cox processes," Journal of Multivariate Analysis, Elsevier, vol. 16(3), pages 368-392, June.
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