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  • A spatial Poisson process is used to model a number of events in a domain. Often, we need to estimate an intensity of event occurrence to determine whether there is some risk (extinction, malfunction, harmfulness) due to the presence or absence of this event. The easiest way (for estimation) to obtain the intensity is to examine the whole domain and make as many repetitions as possible. However, in many cases it is expensive or even impossible to examine the whole domain or even to make repetitions. Therefore, we have to work with a sample domain that has no natural boundary and we cannot make repetitions. In many cases we do not have any information of the boundary of the domain (e.g. in records there is no information about start of monitoring) or this boundary does not exists. In this paper, the only information we are working with in estimation of the parameter λ are coordinates of each event (e.g. obtained by GPS technology). There is proposed unbiased estimator and this estimator is test
  • A spatial Poisson process is used to model a number of events in a domain. Often, we need to estimate an intensity of event occurrence to determine whether there is some risk (extinction, malfunction, harmfulness) due to the presence or absence of this event. The easiest way (for estimation) to obtain the intensity is to examine the whole domain and make as many repetitions as possible. However, in many cases it is expensive or even impossible to examine the whole domain or even to make repetitions. Therefore, we have to work with a sample domain that has no natural boundary and we cannot make repetitions. In many cases we do not have any information of the boundary of the domain (e.g. in records there is no information about start of monitoring) or this boundary does not exists. In this paper, the only information we are working with in estimation of the parameter λ are coordinates of each event (e.g. obtained by GPS technology). There is proposed unbiased estimator and this estimator is test (en)
Title
  • Parameter Estimation of Spatial Poisson Process in Domain with Unknown Boundary
  • Parameter Estimation of Spatial Poisson Process in Domain with Unknown Boundary (en)
skos:prefLabel
  • Parameter Estimation of Spatial Poisson Process in Domain with Unknown Boundary
  • Parameter Estimation of Spatial Poisson Process in Domain with Unknown Boundary (en)
skos:notation
  • RIV/49777513:23520/10:00504048!RIV11-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM4977751301)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 278070
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  • RIV/49777513:23520/10:00504048
http://linked.open...riv/jazykVysledku
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  • Spatial Poisson process; parameter estimation; unknown boundary; separating domain; risk (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [55D214217198]
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Marek, Patrice
  • Ťoupal, Tomáš
http://linked.open...n/vavai/riv/zamer
http://localhost/t...ganizacniJednotka
  • 23520
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