Estimation of reduced Palm distributions by random methods for Cox processes with unknown probability law
Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 247-259

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DOI Zbl  

Let $N_i$, i ≥ 1, be i.i.d. observable Cox processes on [a,b] directed by random measures M_i. Assume that the probability law of the M_i is completely unknown. Random techniques are developed (we use data from the processes $N_1$,..., $N_n$ to construct a partition of [a,b] whose extremities are random) to estimate L(μ,g) = E(exp(-(N(g) - μ(g))) | N - μ ≥ 0).
DOI : 10.4064/am-23-3-247-259
Keywords: random partition, Cox processes, reduced Palm processes
Emmanuelle Crétois. Estimation of reduced Palm distributions by random methods for Cox processes with unknown probability law. Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 247-259. doi: 10.4064/am-23-3-247-259
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     title = {Estimation of reduced {Palm} distributions by random methods for {Cox} processes with unknown probability law},
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     pages = {247--259},
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