Sökning: L773:0361 0926 OR L773:1532 415X
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The discretely obse...
The discretely observed immigration-death process : Likelihood inference and spatiotemporal applications
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- Cronie, Ottmar (författare)
- Stochastics, CWI, Amsterdam, The Netherlands,Mathematical Statistics,Stichting Centrum voor Wiskunde & Informatica (CWI)
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- Yu, Jun, 1962- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Mathematical Statistics,Umeå University
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(creator_code:org_t)
- 2015-12-16
- 2016
- Engelska.
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Ingår i: Communications in Statistics - Theory and Methods. - : Taylor & Francis Group. - 0361-0926 .- 1532-415X. ; 45:18, s. 5279-5298
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Abstract
Ämnesord
Stäng
- We consider a stochastic process, the homogeneous spatial immigration-death (HSID) process, which is a spatial birth-death process with as building blocks (i) an immigration-death (ID) process (a continuous-time Markov chain) and (ii) a probability distribution assigning iid spatial locations to all events. For the ID process, we derive the likelihood function, reduce the likelihood estimation problem to one dimension, and prove consistency and asymptotic normality for the maximum likelihood estimators (MLEs) under a discrete sampling scheme. We additionally prove consistency for the MLEs of HSID processes. In connection to the growth-interaction process, which has a HSID process as basis, we also fit HSID processes to Scots pine data.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- LANTBRUKSVETENSKAPER -- Lantbruksvetenskap, skogsbruk och fiske -- Skogsvetenskap (hsv//swe)
- AGRICULTURAL SCIENCES -- Agriculture, Forestry and Fisheries -- Forest Science (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Biologi -- Ekologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Ecology (hsv//eng)
Nyckelord
- Asymptotic normality
- Consistency
- Homogenous spatial immigration-death process
- Maximum likelihood
- Spatial birth–death process
- Spatiotemporal growth-interaction process
- matematisk statistik
- Mathematical Statistics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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