Cluster analysis of spatial point patterns: posterior distribution of parents inferred from offspring

This manuscript demonstrates an empirical Bayesian estimation of cluster centers (parents) in spatial point pattern. We use the Thomas models on a plane, namely, Neyman–Scott process of a two-dimensional Gaussian-type or its extension to the multi-type species. This manuscript firstly confirms resto...

Full description

Saved in:

Bibliographic Details
Published in:	Japanese journal of statistics and data science Vol. 3; no. 1; pp. 367 - 390
Main Author:	Ogata, Yosihiko
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01.06.2020
Subjects:	Chemistry and Earth Sciences Computer Science Economics Finance Health Sciences Humanities Insurance Law Management Mathematics and Statistics Medicine Original Paper Physics Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences Metropolis’ simulation procedure Multi-type clusters Thomas models Neyman–Scott process Palm likelihood function Markov Chain Monte Carlo integration Palm intensity function
ISSN:	2520-8756, 2520-8764
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	This manuscript demonstrates an empirical Bayesian estimation of cluster centers (parents) in spatial point pattern. We use the Thomas models on a plane, namely, Neyman–Scott process of a two-dimensional Gaussian-type or its extension to the multi-type species. This manuscript firstly confirms restoration method; namely, the numbers of parents and their locations are estimated from simulated datasets of Thomas process or its multi-type process; and the Metropolis’ simulation of parent locations are well performed from their posterior distributions. Then, we further apply the models to three real datasets of plant ecology, volcano swarms, and inland shallow micro-earthquakes. However, in the latter two cases, a preliminary analysis by the pairwise correlation suggests that the classical second-order moment relationship between the ordinary Thomas process and the Palm intensity cannot be applicable. Therefore, alternative method is implemented by applying a Bayesian selection of the optimal number of parents; which is searched by maximizing the marginal likelihood (integrated posterior) by numerically performing the high-dimensional integration with respective to the location coordinates of the parents. Then, the optimal posterior distribution of the selected model provides the image of likely locations of parents.
AbstractList	This manuscript demonstrates an empirical Bayesian estimation of cluster centers (parents) in spatial point pattern. We use the Thomas models on a plane, namely, Neyman–Scott process of a two-dimensional Gaussian-type or its extension to the multi-type species. This manuscript firstly confirms restoration method; namely, the numbers of parents and their locations are estimated from simulated datasets of Thomas process or its multi-type process; and the Metropolis’ simulation of parent locations are well performed from their posterior distributions. Then, we further apply the models to three real datasets of plant ecology, volcano swarms, and inland shallow micro-earthquakes. However, in the latter two cases, a preliminary analysis by the pairwise correlation suggests that the classical second-order moment relationship between the ordinary Thomas process and the Palm intensity cannot be applicable. Therefore, alternative method is implemented by applying a Bayesian selection of the optimal number of parents; which is searched by maximizing the marginal likelihood (integrated posterior) by numerically performing the high-dimensional integration with respective to the location coordinates of the parents. Then, the optimal posterior distribution of the selected model provides the image of likely locations of parents.
Author	Ogata, Yosihiko
Author_xml	– sequence: 1 givenname: Yosihiko surname: Ogata fullname: Ogata, Yosihiko email: ogata@ism.ac.jp organization: The Institute of Statistical Mathematics
BookMark	eNp9kMtOwzAQRS1UJErpD7DyDwTGdl5mhypeUiU2sLac2EauUjvyJIv-PS5BLFnN696Z0bkmqxCDJeSWwR0DaO6x5NCyApgsAKCuCnlB1rziULRNXa7-8qq-IlvEQxbxRpQNb9fE7oYZJ5uoDno4oUcaHcVRT14PdIw-TDQXWRDwIddnqY-JGo9T8t08-RjOjlEnGyakPjibkjXUpXjMA4dj8uHrhlw6PaDd_sYN-Xx--ti9Fvv3l7fd477oBYOpqHjlOmEsSAPcWWeM0A0r26oHwTqZO0LyDqRuGydNY3pjRadL17d1D3VXiQ3hy94-RcRkncrnjzqdFAN1ZqUWViqzUj-slMwmsZiWX21ShzinjAP_c30DoW5x3g
Cites_doi	10.1111/1467-9574.00144 10.1111/j.1467-9574.1996.tb01501.x 10.1007/BF01436624 10.1029/2009TC002626 10.1002/bimj.4710380302 10.1111/1467-9876.00420 10.1007/BF01406511 10.1111/1467-9469.00115 10.1137/0222066 10.1111/1467-842X.00154 10.1093/biomet/36.1-2.18 10.1002/bimj.200610339 10.1080/00288306.1966.10422815 10.1063/1.1699114 10.1093/biomet/57.1.97 10.1093/biomet/82.4.711 10.2307/2334515 10.1111/j.1541-0420.2006.00667.x 10.1111/j.2517-6161.1984.tb01322.x 10.1007/978-1-4612-1694-0_24 10.1007/s10463-012-0376-7 10.1239/jap/1085496602 10.1111/j.2517-6161.1977.tb01615.x 10.1111/j.2517-6161.1970.tb00814.x 10.1002/9781119115151 10.1007/BF00050670 10.1016/0378-3758(95)00067-4 10.1007/s10463-013-0431-z 10.1007/BF00049299 10.1111/j.1467-9469.2007.00569.x 10.1111/j.2517-6161.1958.tb00272.x 10.1111/j.2517-6161.1992.tb01443.x
ContentType	Journal Article
Copyright	Japanese Federation of Statistical Science Associations 2019
Copyright_xml	– notice: Japanese Federation of Statistical Science Associations 2019
DBID	AAYXX CITATION
DOI	10.1007/s42081-019-00065-9
DatabaseName	CrossRef
DatabaseTitle	CrossRef
DatabaseTitleList
DeliveryMethod	fulltext_linktorsrc
Discipline	Medicine Economics Law Statistics Physics Computer Science
EISSN	2520-8764
EndPage	390
ExternalDocumentID	10_1007_s42081_019_00065_9
GrantInformation_xml	– fundername: Japan Society for the Promotion of Science grantid: 17H00727 funderid: http://dx.doi.org/10.13039/501100001691
GroupedDBID	-EM 0R~ 406 AACDK AAHNG AAIAL AAJBT AASML AATNV AAUYE ABAKF ABDZT ABECU ABFTV ABJNI ABKCH ABMQK ABQBU ABTEG ABTKH ABTMW ABXPI ACAOD ACDTI ACGFS ACHSB ACMLO ACOKC ACPIV ACZOJ ADKNI ADRFC ADTPH ADURQ ADYFF AEFQL AEJRE AEMSY AESKC AFBBN AFQWF AGDGC AGJBK AGMZJ AGQEE AGRTI AIAKS AIGIU AILAN AITGF AJZVZ ALMA_UNASSIGNED_HOLDINGS AMKLP AMXSW AMYLF AXYYD BGNMA CSCUP DPUIP EBLON EBS EJD FIGPU FINBP FNLPD FSGXE GGCAI IKXTQ IWAJR J-C JZLTJ KOV LLZTM M4Y NPVJJ NQJWS NU0 O9J PT4 RLLFE ROL RSV SJYHP SNE SNPRN SOHCF SOJ SRMVM SSLCW STPWE TSG UOJIU UTJUX UZXMN VFIZW ZMTXR AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC AEZWR AFDZB AFFHD AFHIU AFKRA AFOHR AHPBZ AHWEU AIXLP ARAPS ATHPR AYFIA AZQEC BENPR BGLVJ CCPQU CITATION DWQXO GNUQQ HCIFZ K7- M2P PHGZM PHGZT PQGLB
ID	FETCH-LOGICAL-c310t-525fb3de09d02fefdd3a71485c031b9fef392b09a87f9d7dcde3ba4fc86c06b53
IEDL.DBID	RSV
ISICitedReferencesCount	0
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000704242200018&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2520-8756
IngestDate	Sat Nov 29 06:12:05 EST 2025 Fri Feb 21 02:32:46 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	1
Keywords	Metropolis’ simulation procedure Multi-type clusters Thomas models Neyman–Scott process Palm likelihood function Markov Chain Monte Carlo integration Palm intensity function
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c310t-525fb3de09d02fefdd3a71485c031b9fef392b09a87f9d7dcde3ba4fc86c06b53
PageCount	24
ParticipantIDs	crossref_primary_10_1007_s42081_019_00065_9 springer_journals_10_1007_s42081_019_00065_9
PublicationCentury	2000
PublicationDate	2020-06-01
PublicationDateYYYYMMDD	2020-06-01
PublicationDate_xml	– month: 06 year: 2020 text: 2020-06-01 day: 01
PublicationDecade	2020
PublicationPlace	Singapore
PublicationPlace_xml	– name: Singapore
PublicationTitle	Japanese journal of statistics and data science
PublicationTitleAbbrev	Jpn J Stat Data Sci
PublicationYear	2020
Publisher	Springer Singapore
Publisher_xml	– name: Springer Singapore
References	Lewis, Raftery (CR17) 1997; 92 CR36 CR35 CR34 Ogata, Katsura, Tanemura (CR30) 2003; 52 CR33 Hastings (CR12) 1970; 57 CR31 Diggle (CR6) 1983 Møller, Syversveen, Waagepetersen (CR20) 1998; 25 Ogata (CR26) 1995; 56 Ogata, Tanemura (CR32) 1984; B46 Van Lieshout, Baddeley (CR45) 1996; 50 Terakawa, Matsu’ura (CR43) 2010; 29 Baddeley, Ruback, Turner (CR3) 2016 McKeague, Loizeaux, Lawson, Denison (CR18) 2002 Vere-Jones (CR46) 1970; 32 Stoyan, Stoyan (CR50) 1996; 38 Waagepetersen (CR48) 2007; 63 CR41 CR40 Tanaka, Ogata, Stoyan (CR42) 2007 Baddeley, Barany, Schneider, Weil (CR51) 2007 Akaike, Bernard (CR1) 1980 Neyman, Scott (CR22) 1958; 20 Ripley (CR37) 1977; 39 Good (CR9) 1965 Wood, Temperley, Rowlinson, Rushbrooke (CR49) 1968 Thomas (CR44) 1949; 36 CR15 Cressie (CR4) 1993 Vere-Jones, Davies (CR47) 1966; 9 Stoyan, Kendall, Mecke (CR38) 1995 Green (CR11) 1995; 82 Møller, Waagepetersen (CR21) 2007; 34 Baddeley, Møller, Waagepetersen (CR2) 2000; 54 Geyer, Keramidas (CR7) 1991 Geyer, Thompson (CR8) 1992; 54 CR29 CR28 CR27 Metropolis, Rosenbluth, Rosenbluth, Teller, Teller (CR19) 1953; 21 CR25 Ogata (CR23) 1989; 55 CR24 Jerrum, Sinclair (CR16) 1993; 22 Takahashi, Mori (CR39) 1973; 21 Hawkes, Adampoulos (CR13) 1973; 45 Huang, Ogata (CR14) 2001; 43 Daley, Vere-Jones (CR5) 1988 Good, Gaskins (CR10) 1971; 58 P Green (65_CR11) 1995; 82 CJ Geyer (65_CR8) 1992; 54 WK Hastings (65_CR12) 1970; 57 65_CR15 IJ Good (65_CR9) 1965 D Vere-Jones (65_CR46) 1970; 32 Y Ogata (65_CR32) 1984; B46 D Stoyan (65_CR50) 1996; 38 CJ Geyer (65_CR7) 1991 IW McKeague (65_CR18) 2002 A Baddeley (65_CR51) 2007 MNM Van Lieshout (65_CR45) 1996; 50 D Vere-Jones (65_CR47) 1966; 9 65_CR25 65_CR24 65_CR29 A Baddeley (65_CR2) 2000; 54 65_CR28 65_CR27 H Akaike (65_CR1) 1980 J Møller (65_CR21) 2007; 34 IJ Good (65_CR10) 1971; 58 M Thomas (65_CR44) 1949; 36 DJ Daley (65_CR5) 1988 AG Hawkes (65_CR13) 1973; 45 N Metropolis (65_CR19) 1953; 21 WW Wood (65_CR49) 1968 D Stoyan (65_CR38) 1995 65_CR36 65_CR35 65_CR34 F Huang (65_CR14) 2001; 43 J Neyman (65_CR22) 1958; 20 65_CR33 65_CR31 J Møller (65_CR20) 1998; 25 A Baddeley (65_CR3) 2016 U Tanaka (65_CR42) 2007 T Terakawa (65_CR43) 2010; 29 N Cressie (65_CR4) 1993 R Waagepetersen (65_CR48) 2007; 63 65_CR40 Y Ogata (65_CR26) 1995; 56 B Ripley (65_CR37) 1977; 39 PJ Diggle (65_CR6) 1983 65_CR41 M Jerrum (65_CR16) 1993; 22 Y Ogata (65_CR30) 2003; 52 SM Lewis (65_CR17) 1997; 92 Y Ogata (65_CR23) 1989; 55 H Takahashi (65_CR39) 1973; 21
References_xml	– volume: 54 start-page: 329 year: 2000 end-page: 350 ident: CR2 article-title: Non- and semi-parametric estimation of interaction in inhomogeneous point processes publication-title: Statistica Neerlandica doi: 10.1111/1467-9574.00144 – volume: 50 start-page: 344 year: 1996 end-page: 361 ident: CR45 article-title: A nonparametric measure of spatial interaction in point patterns publication-title: Statistica Neerlandica doi: 10.1111/j.1467-9574.1996.tb01501.x – volume: 21 start-page: 206 year: 1973 end-page: 219 ident: CR39 article-title: Quadrature formulas obtained by variable transformation publication-title: Numerich Mathematik doi: 10.1007/BF01436624 – ident: CR35 – ident: CR29 – volume: 29 start-page: 1 year: 2010 end-page: 14 ident: CR43 article-title: The 3-D tectonic stress fields in and around Japan inverted from centroid moment tensor data of seismic events publication-title: Tectonics doi: 10.1029/2009TC002626 – volume: 45 start-page: 454 issue: 3 year: 1973 end-page: 461 ident: CR13 article-title: Cluster models for earthquakes—Regional comparisons publication-title: Bulletin of the International Statistical Institute – ident: CR25 – volume: 38 start-page: 259 year: 1996 end-page: 271 ident: CR50 article-title: Estimating pair correlation functions of planar cluster processes publication-title: BiometricalJournal doi: 10.1002/bimj.4710380302 – volume: 52 start-page: 499 year: 2003 end-page: 509 ident: CR30 article-title: Modelling heterogeneous space-time occurrences of earthquakes and its residual analysis publication-title: Applied Statistics (Journal of the Royal Statistical Society, series C) doi: 10.1111/1467-9876.00420 – year: 1965 ident: CR9 publication-title: The estimation of probabilities – year: 2007 ident: CR51 publication-title: Stochastic Geometry Lecture Notes in Mathematics 1892 – ident: CR15 – volume: 55 start-page: 137 year: 1989 end-page: 157 ident: CR23 article-title: A Monte Carlo method for high dimensional integration publication-title: Numerich Mathematik doi: 10.1007/BF01406511 – volume: 25 start-page: 451 year: 1998 end-page: 482 ident: CR20 article-title: Log Gaussian Cox processes publication-title: Scandinavian Journal of Statistics doi: 10.1111/1467-9469.00115 – volume: 54 start-page: 657 year: 1992 end-page: 699 ident: CR8 article-title: Constrained Monte Carlo maximum likelihood for dependent data (with discussion) publication-title: Journal of the Royal Statistical Society: Series B – ident: CR36 – year: 1993 ident: CR4 publication-title: Statistics for spatial data – start-page: 156 year: 1991 end-page: 163 ident: CR7 article-title: Markov chain Monte Carlo maximum likelihood publication-title: Computing science and statistics: 23rd symposium on the interface – volume: 22 start-page: 1087 year: 1993 end-page: 1116 ident: CR16 article-title: Polynomial-time approximation algorithms for the Ising model publication-title: SIAM Journal Computing doi: 10.1137/0222066 – volume: 34 start-page: 643 year: 2007 end-page: 684 ident: CR21 article-title: Modern statistics for spatial point processes publication-title: Scandinavian Journal of Statistics – start-page: 115 year: 1968 end-page: 230 ident: CR49 article-title: Monte Carlo studies of simple liquid models publication-title: Physics of simple liquids – volume: 43 start-page: 47 year: 2001 end-page: 65 ident: CR14 article-title: Comparison of two methods for calculating the partition functions of various spatial statistical models publication-title: Australian and New Zealand Journal of Statistics doi: 10.1111/1467-842X.00154 – volume: 36 start-page: 18 year: 1949 end-page: 25 ident: CR44 article-title: A generalization of Poisson’s binomial limit for use in ecology publication-title: Biometrika doi: 10.1093/biomet/36.1-2.18 – volume: 20 start-page: 1 year: 1958 end-page: 43 ident: CR22 article-title: Statistical approach to problems of cosmology publication-title: Journal of the Royal Statistical Society, Series. B – year: 2007 ident: CR42 article-title: Parameter estimation and model selection for Neyman–Scott point processes publication-title: Biometrical Journal doi: 10.1002/bimj.200610339 – year: 2016 ident: CR3 publication-title: Spatial point patterns: Methodology and applications with R – volume: 9 start-page: 251 year: 1966 end-page: 284 ident: CR47 article-title: A statistical survey of earthquakes in the main seismic region of New Zealand, Part 2, Time series analyses publication-title: New Zealand Journal of Geology and Geophys. doi: 10.1080/00288306.1966.10422815 – ident: CR33 – volume: 32 start-page: 1 year: 1970 end-page: 62 ident: CR46 article-title: Stochastic models for earthquake occurrence (with discussion) publication-title: Journal of the Royal Statistical Society: Series B – start-page: 87 year: 2002 end-page: 107 ident: CR18 article-title: Perfect sampling for point process cluster modeling publication-title: Spatial cluster modelling – volume: 92 start-page: 648 issue: 438 year: 1997 end-page: 655 ident: CR17 article-title: Estimating Bayes factors via posterior simulation with the Laplace–Metropolis estimator publication-title: Journal of the American Statistical Association – volume: 21 start-page: 1087 year: 1953 end-page: 1092 ident: CR19 article-title: Equation of state calculations by fast computing machines publication-title: Journal of Chemical Physics. doi: 10.1063/1.1699114 – ident: CR40 – ident: CR27 – volume: 57 start-page: 97 year: 1970 end-page: 109 ident: CR12 article-title: Monte Carlo sampling methods using Markov chains and their applications publication-title: Biometrika doi: 10.1093/biomet/57.1.97 – volume: 82 start-page: 711 issue: 4 year: 1995 end-page: 732 ident: CR11 article-title: Reversible jump Markov chain Monte Carlo computation and Bayesian model determination publication-title: Biometrika doi: 10.1093/biomet/82.4.711 – volume: 39 start-page: 172 year: 1977 end-page: 212 ident: CR37 article-title: Modelling spatial patterns (with discussion) publication-title: Journal of the Royal Statistical Society: Series B – year: 1995 ident: CR38 publication-title: Stochastic geometry and its applications – volume: 56 start-page: 1873 issue: 4 year: 1995 end-page: 1891 ident: CR26 article-title: Markov Chain Monte Carlo integration through simulated annealing and its application to likelihood computation of Bayesian models publication-title: Bulletin of the International Statistical Institute – year: 1988 ident: CR5 publication-title: An introduction to the theory of point processes – ident: CR31 – year: 1983 ident: CR6 publication-title: Statistical analysis of spatial point patterns – volume: 58 start-page: 255 year: 1971 end-page: 277 ident: CR10 article-title: Nonparametric roughness penalties for probability densities publication-title: Biometrika doi: 10.2307/2334515 – ident: CR34 – volume: 63 start-page: 252 year: 2007 end-page: 258 ident: CR48 article-title: An estimating function approach to inference for inhomogeneous Neyman–Scott processes publication-title: Biometrics doi: 10.1111/j.1541-0420.2006.00667.x – ident: CR28 – ident: CR41 – volume: B46 start-page: 496 year: 1984 end-page: 518 ident: CR32 article-title: Likelihood analysis of spatial point patterns publication-title: Journal of the Royal Statistical Society doi: 10.1111/j.2517-6161.1984.tb01322.x – year: 1980 ident: CR1 article-title: Likelihood and Bayes procedure publication-title: Bayesian statistics doi: 10.1007/978-1-4612-1694-0_24 – ident: CR24 – start-page: 115 volume-title: Physics of simple liquids year: 1968 ident: 65_CR49 – volume: 29 start-page: 1 year: 2010 ident: 65_CR43 publication-title: Tectonics doi: 10.1029/2009TC002626 – ident: 65_CR36 doi: 10.1007/s10463-012-0376-7 – volume: 82 start-page: 711 issue: 4 year: 1995 ident: 65_CR11 publication-title: Biometrika doi: 10.1093/biomet/82.4.711 – volume: 22 start-page: 1087 year: 1993 ident: 65_CR16 publication-title: SIAM Journal Computing doi: 10.1137/0222066 – volume-title: Statistical analysis of spatial point patterns year: 1983 ident: 65_CR6 – ident: 65_CR28 doi: 10.1239/jap/1085496602 – volume: 36 start-page: 18 year: 1949 ident: 65_CR44 publication-title: Biometrika doi: 10.1093/biomet/36.1-2.18 – volume: 39 start-page: 172 year: 1977 ident: 65_CR37 publication-title: Journal of the Royal Statistical Society: Series B doi: 10.1111/j.2517-6161.1977.tb01615.x – volume: 21 start-page: 206 year: 1973 ident: 65_CR39 publication-title: Numerich Mathematik doi: 10.1007/BF01436624 – volume: 54 start-page: 329 year: 2000 ident: 65_CR2 publication-title: Statistica Neerlandica doi: 10.1111/1467-9574.00144 – ident: 65_CR29 – volume-title: The estimation of probabilities year: 1965 ident: 65_CR9 – volume: 57 start-page: 97 year: 1970 ident: 65_CR12 publication-title: Biometrika doi: 10.1093/biomet/57.1.97 – volume-title: Stochastic geometry and its applications year: 1995 ident: 65_CR38 – volume: 52 start-page: 499 year: 2003 ident: 65_CR30 publication-title: Applied Statistics (Journal of the Royal Statistical Society, series C) doi: 10.1111/1467-9876.00420 – volume: 43 start-page: 47 year: 2001 ident: 65_CR14 publication-title: Australian and New Zealand Journal of Statistics doi: 10.1111/1467-842X.00154 – volume: 32 start-page: 1 year: 1970 ident: 65_CR46 publication-title: Journal of the Royal Statistical Society: Series B doi: 10.1111/j.2517-6161.1970.tb00814.x – ident: 65_CR33 – volume-title: Statistics for spatial data year: 1993 ident: 65_CR4 doi: 10.1002/9781119115151 – volume: 45 start-page: 454 issue: 3 year: 1973 ident: 65_CR13 publication-title: Bulletin of the International Statistical Institute – volume: 21 start-page: 1087 year: 1953 ident: 65_CR19 publication-title: Journal of Chemical Physics. doi: 10.1063/1.1699114 – ident: 65_CR35 doi: 10.1007/BF00050670 – year: 2007 ident: 65_CR42 publication-title: Biometrical Journal doi: 10.1002/bimj.200610339 – volume: 55 start-page: 137 year: 1989 ident: 65_CR23 publication-title: Numerich Mathematik doi: 10.1007/BF01406511 – start-page: 87 volume-title: Spatial cluster modelling year: 2002 ident: 65_CR18 – volume: 38 start-page: 259 year: 1996 ident: 65_CR50 publication-title: BiometricalJournal doi: 10.1002/bimj.4710380302 – volume-title: Spatial point patterns: Methodology and applications with R year: 2016 ident: 65_CR3 – ident: 65_CR27 doi: 10.1016/0378-3758(95)00067-4 – ident: 65_CR40 doi: 10.1007/s10463-013-0431-z – volume: 92 start-page: 648 issue: 438 year: 1997 ident: 65_CR17 publication-title: Journal of the American Statistical Association – ident: 65_CR24 doi: 10.1007/BF00049299 – volume: B46 start-page: 496 year: 1984 ident: 65_CR32 publication-title: Journal of the Royal Statistical Society doi: 10.1111/j.2517-6161.1984.tb01322.x – volume: 50 start-page: 344 year: 1996 ident: 65_CR45 publication-title: Statistica Neerlandica doi: 10.1111/j.1467-9574.1996.tb01501.x – volume-title: An introduction to the theory of point processes year: 1988 ident: 65_CR5 – ident: 65_CR34 – ident: 65_CR41 doi: 10.1002/bimj.200610339 – volume-title: Bayesian statistics year: 1980 ident: 65_CR1 doi: 10.1007/978-1-4612-1694-0_24 – ident: 65_CR15 – volume: 34 start-page: 643 year: 2007 ident: 65_CR21 publication-title: Scandinavian Journal of Statistics doi: 10.1111/j.1467-9469.2007.00569.x – volume: 20 start-page: 1 year: 1958 ident: 65_CR22 publication-title: Journal of the Royal Statistical Society, Series. B doi: 10.1111/j.2517-6161.1958.tb00272.x – volume: 54 start-page: 657 year: 1992 ident: 65_CR8 publication-title: Journal of the Royal Statistical Society: Series B doi: 10.1111/j.2517-6161.1992.tb01443.x – ident: 65_CR25 – volume: 56 start-page: 1873 issue: 4 year: 1995 ident: 65_CR26 publication-title: Bulletin of the International Statistical Institute – volume: 9 start-page: 251 year: 1966 ident: 65_CR47 publication-title: New Zealand Journal of Geology and Geophys. doi: 10.1080/00288306.1966.10422815 – volume: 63 start-page: 252 year: 2007 ident: 65_CR48 publication-title: Biometrics doi: 10.1111/j.1541-0420.2006.00667.x – volume-title: Stochastic Geometry Lecture Notes in Mathematics 1892 year: 2007 ident: 65_CR51 – volume: 58 start-page: 255 year: 1971 ident: 65_CR10 publication-title: Biometrika doi: 10.2307/2334515 – ident: 65_CR31 – volume: 25 start-page: 451 year: 1998 ident: 65_CR20 publication-title: Scandinavian Journal of Statistics doi: 10.1111/1467-9469.00115 – start-page: 156 volume-title: Computing science and statistics: 23rd symposium on the interface year: 1991 ident: 65_CR7
SSID	ssj0002734728
Score	2.114429
Snippet	This manuscript demonstrates an empirical Bayesian estimation of cluster centers (parents) in spatial point pattern. We use the Thomas models on a plane,...
SourceID	crossref springer
SourceType	Index Database Publisher
StartPage	367
SubjectTerms	Chemistry and Earth Sciences Computer Science Economics Finance Health Sciences Humanities Insurance Law Management Mathematics and Statistics Medicine Original Paper Physics Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences
Title	Cluster analysis of spatial point patterns: posterior distribution of parents inferred from offspring
URI	https://link.springer.com/article/10.1007/s42081-019-00065-9
Volume	3
WOSCitedRecordID	wos000704242200018&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 2520-8764 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002734728 issn: 2520-8756 databaseCode: RSV dateStart: 20180601 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEB5868VHVVxf5OBNC7XdNo03ERcPKuILbyWPCQjSXdpV_76TbLogiKDHNtM2zSSZmczMNwBHqeRKFomKT23Wj2n3w5gsWx4jiW6LeYGYKV9sgt_eli8v4i4khbVdtHvnkvQ79TTZzTmCnekrYi84YzEL8yTuSlew4f7heXqy4gBbuC-qmuZkG5FCXoRsmZ9f810ifXeHeikzWPtf_9ZhNWiV7HwyDTZgBusI1rqKDSws4AiWuzzkNoLZa_kZwdJNcK5HsOijQV3TilNBJwjOm4AXb-8OTYHJgF_Chpa1LhCbvjgavtZjNvIgnXV7RteO9HXYMOMQeUMxLfeEi3Svxy1z0V9Ng4a5xBZqsJPf3IKnweXjxVUcijPEmjTCMRmwuVWZwUSYJLVojckkJ9sq17RNKEF3SPNSiZAlt8Jwow1xXfatLgudFCrPtmGuHta4A0xblRalRi2Q9wuppNLCnuqs7CMvc8QeHHcMqkYTDI5qirbsR72iUa_8qFeiBycdf6qwHttfyHf_Rr4HK6mzuP05zD7MjZt3PIAF_UFcaQ79RPwCC1LZqQ
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dT9wwDLfg2Ha8wFaY-CYPe9sqlX6l4Q0hEIjjhBibeKvy4Ugnod6pPbZ_HyeXnoSEJrHHNm6bxklsx_bPAN9SyZUsExWf2CyPaffDmCxbHiOJbotFiZgpX2yCj8fV46O4C0lhXR_t3rsk_U69THZzjmBn-orYC85YrMJaThLLIebf__y9PFlxgC3cF1VNC7KNSCEvQ7bM2695LZFeu0O9lLnc_L_-fYaNoFWys8U0-AIr2ESw2VdsYGEBRzDs85C7CFZH8m8En26Dcz2Cjz4a1DWtOxV0geC8BXj-9OzQFJgM-CVsalnnArHpi7PppJmzmQfpbLpTunakk2nLjEPkDcW03BMu0r2Zd8xFf7UtGuYSW6jBLn5zG35dXjycX8WhOEOsSSOckwFbWJUZTIRJUovWmExysq0KTduEEnSHNC-VCFlxKww32hDXZW51VeqkVEX2FQbNtMEdYNqqtKw0aoE8L6WSSgt7orMqR14ViLvwvWdQPVtgcNRLtGU_6jWNeu1HvRa78KPnTx3WY_cP8r33kR_D8OrhdlSPrsc3-7CeOuvbn8kcwGDePuMhfNB_iEPtkZ-UL0iP3I0
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS91AEB6qbdWXWlOl1l72oW8ajLlttm9Fe2ipPQi94FvYyywIJeeQRP37ndkkB4UilD4mu0k2e5v5dma-AXifaml0mZj4xGd5TLsfxoRsZYwkuj0WJWJmQrIJOZ9Xl5fq4k4Uf_B2n0ySQ0wDszQ1_fHS-eNV4BsbhRkGqzgI0VitweOcHekZr3__tTplYfIWGRKspgXhJFLOyzFy5u-vuS-d7ptGg8SZbf9_W5_Ds1HbFB-H6bEDj7CJYHvK5CDGhR3B5hSf3EWwdq5vI9j4NhrdI3gavES5aItV04HZ-QXg6e9rZlkQeuQ1EQsvOnbQpi8uF1dNL5aBvLPpPtA1V71atMIxU--YZIufYA_4pu8Ee4W1LTrBAS9U4Idf3oWfs08_Tj_HY9KG2JKm2BOwLbzJHCbKJalH71ymJWGuwtL2YRTdIY3MJEpX0isnnXU0G3TubVXapDRFtgfrzaLBlyCsN2lZWbQKZV5qo41V_sRmVY6yKhD34XAarHo5cHPUKxbm0Os19Xoder1W-3A0jVU9rtPugeqv_q36O9i4OJvV51_mXw9gK2VQHo5qXsN6317jG3hib2iA2rdhfv4BEdzlcQ
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Cluster+analysis+of+spatial+point+patterns%3A+posterior+distribution+of+parents+inferred+from+offspring&rft.jtitle=Japanese+journal+of+statistics+and+data+science&rft.au=Ogata%2C+Yosihiko&rft.date=2020-06-01&rft.pub=Springer+Singapore&rft.issn=2520-8756&rft.eissn=2520-8764&rft.volume=3&rft.issue=1&rft.spage=367&rft.epage=390&rft_id=info:doi/10.1007%2Fs42081-019-00065-9&rft.externalDocID=10_1007_s42081_019_00065_9
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2520-8756&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2520-8756&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2520-8756&client=summon