| Title:
|
A maximum likelihood estimator of an inhomogeneous Poisson point processes intensity using beta splines (English) |
| Author:
|
Krejčíř, Pavel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
[455]-464 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
non-stationary Poisson point process |
| Keyword:
|
estimating the intensity |
| MSC:
|
60G55 |
| MSC:
|
62M09 |
| MSC:
|
62M30 |
| idZBL:
|
Zbl 1249.60096 |
| idMR:
|
MR1830649 |
| . |
| Date available:
|
2009-09-24T19:34:19Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135363 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[6] Machek J.: On statistical models for the mapping of disease-risk.In: International Conference on Stereology, Spatial Statistics and Stochastic Geometry (V. Beneš, J. Janáček and I. Saxl, eds.), Union of the Czech Mathematicians and Physicists, Prague 1999, pp. 191–196 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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[10] Zeman P.: Objective assesment of risk maps of tick-borne encephalitis and lyme borreliosis based on spatial patterns of located cases.Internat. J. Epidemiology 26 (1997), 5, 1121–1129 10.1093/ije/26.5.1121 |
| . |
