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Kybernetika 36(4):455-464, 2000.

A Maximum Likelihood Estimator of an Inhomogeneous Poisson Point Processes Intensity Using Beta Splines.

Pavel Krejčíř


Abstract:

The problem of estimating the intensity of a non-stationary Poisson point process arises in many applications. Besides non parametric solutions, e.\,g. kernel estimators, parametric methods based on maximum likelihood estimation are of interest. In the present paper we have developed an approach in which the parametric function is represented by two-dimensional beta-splines.


AMS: 62M;


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BIB TeX

@article{kyb:2000:4:455-464,

author = {Krej\v{c}\'{\i}\v{r}, Pavel},

title = {A Maximum Likelihood Estimator of an Inhomogeneous Poisson Point Processes Intensity Using Beta Splines.},

journal = {Kybernetika},

volume = {36},

year = {2000},

number = {4},

pages = {455-464}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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