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A note on quasi-maximum likelihood solutions to an inverse problem for Poisson processes

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  • Szkutnik, Zbigniew

Abstract

Recent results on unfolding Poisson process intensity function are improved. Singular matrix approximation of the folding operator is allowed. For Euclidean spaces, the assumptions are expressed in terms of the decay rate of the singular values of the original folding operator rather than those of the approximating matrix. L2-convergence rates and approximation effects are discussed.

Suggested Citation

  • Szkutnik, Zbigniew, 2002. "A note on quasi-maximum likelihood solutions to an inverse problem for Poisson processes," Statistics & Probability Letters, Elsevier, vol. 60(3), pages 253-263, December.
    • Handle: RePEc:eee:stapro:v:60:y:2002:i:3:p:253-263
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    Cited by:

    1. Szkutnik, Zbigniew, 2005. "B-splines and discretization in an inverse problem for Poisson processes," Journal of Multivariate Analysis, Elsevier, vol. 93(1), pages 198-221, March.

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