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Description
  • In the paper we introduce a flexible inhomogeneous space-time shot-noise Cox process model and derive a two-step estimation procedure for it. In the first step the inhomogeneity is estimated by means of a Poisson score estimating equation and in the second step we use minimum contrast estimation based on second order properties to obtain estimates of the clustering parameters. The suggested model is not separable but it has a special interaction structure which enables to use the spatial and temporal projections of the process for parameter estimation. Efficiency of the introduced method is investigated by means of a simulation study and it is compared to a previously used method.
  • In the paper we introduce a flexible inhomogeneous space-time shot-noise Cox process model and derive a two-step estimation procedure for it. In the first step the inhomogeneity is estimated by means of a Poisson score estimating equation and in the second step we use minimum contrast estimation based on second order properties to obtain estimates of the clustering parameters. The suggested model is not separable but it has a special interaction structure which enables to use the spatial and temporal projections of the process for parameter estimation. Efficiency of the introduced method is investigated by means of a simulation study and it is compared to a previously used method. (en)
Title
  • Statistics for Inhomogeneous Space-Time Shot-Noise Cox Processes
  • Statistics for Inhomogeneous Space-Time Shot-Noise Cox Processes (en)
skos:prefLabel
  • Statistics for Inhomogeneous Space-Time Shot-Noise Cox Processes
  • Statistics for Inhomogeneous Space-Time Shot-Noise Cox Processes (en)
skos:notation
  • RIV/00216208:11320/14:10283465!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GAP201/10/0472), S
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 47374
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10283465
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Projection processes; Pair-correlation function; Space-time K-function; Space-time point process; Minimum contrast estimation; Shot-noise Cox process (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [768EB7E76455]
http://linked.open...i/riv/nazevZdroje
  • Methodology and Computing in Applied Probability
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16
http://linked.open...iv/tvurceVysledku
  • Dvořák, Jiří
  • Prokešová, Michaela
http://linked.open...ain/vavai/riv/wos
  • 000335508800012
issn
  • 1387-5841
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11009-013-9324-0
http://localhost/t...ganizacniJednotka
  • 11320
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