Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point
Unbiased stereological estimators of d -dimensional volume in ℝ n are derived, based on information from an isotropic random r -slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental le...
Gespeichert in:
| Veröffentlicht in: | Advances in applied probability 1994-03, Vol.26 (1), p.1-12 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 12 |
|---|---|
| container_issue | 1 |
| container_start_page | 1 |
| container_title | Advances in applied probability |
| container_volume | 26 |
| creator | Jensen, E. B. Vedel Kiêu, K. |
| description | Unbiased stereological estimators of
d
-dimensional volume in ℝ
n
are derived, based on information from an isotropic random
r
-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random
r
-slice in ℝ
n
through
O
hits a fixed point in ℝ
n
is given. |
| doi_str_mv | 10.1017/S0001867800025969 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02703437v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>866372</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1039-e8660686d9f7cd387795a90d9718d29048ce6d9c072ceac640e61142aa202b243</originalsourceid><addsrcrecordid>eNplkcFOAjEQhhujiYg-gLfGm4fVtrvbbo8EQUhINAJem9LtQsnSYrtL9O5r-HI-id1gvHiazP9_-WcmA8A1RncYYXY_RwjhgrIiVpJzyk9AD2csTyii2SnodXbS-efgIoRtbNPI9sBhaVdGBl3CeaO9drVbGyVrOAqN2cnGOAtdBcvkwey0DbGN3qur252GxsLvzy8LK-92UFo4Da7xbm8UfJG2jNq8NkrDxca7dr2BEo7Ne5zz7IxtLsFZJeugr35rHyzHo8VwksyeHqfDwSxRGKU80QWN-xe05BVTZVowxnPJUckZLkrCUVYoHU2FGFFaKpohTTHOiJQEkRXJ0j64PeZuZC32Pp7kP4STRkwGM9FpiDCUZik74MjeHNm9d2-tDo3YutbHg4MgGFOc05xHCB8h5V0IXld_qRiJ7hPi3yfSH4Z-epM</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>211615659</pqid></control><display><type>article</type><title>Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point</title><source>JSTOR Mathematics and Statistics</source><source>JSTOR - Online Journals</source><creator>Jensen, E. B. Vedel ; Kiêu, K.</creator><creatorcontrib>Jensen, E. B. Vedel ; Kiêu, K.</creatorcontrib><description>Unbiased stereological estimators of
d
-dimensional volume in ℝ
n
are derived, based on information from an isotropic random
r
-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random
r
-slice in ℝ
n
through
O
hits a fixed point in ℝ
n
is given.</description><identifier>ISSN: 0001-8678</identifier><identifier>EISSN: 1475-6064</identifier><identifier>DOI: 10.1017/S0001867800025969</identifier><identifier>CODEN: AAPBBD</identifier><language>eng</language><publisher>Sheffield: Cambridge University Press</publisher><subject>Estimating techniques ; Life Sciences ; Mathematical analysis ; Probability ; Theory</subject><ispartof>Advances in applied probability, 1994-03, Vol.26 (1), p.1-12</ispartof><rights>Copyright Applied Probability Trust Mar 1994</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1039-e8660686d9f7cd387795a90d9718d29048ce6d9c072ceac640e61142aa202b243</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27923,27924</link.rule.ids><backlink>$$Uhttps://hal.inrae.fr/hal-02703437$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Jensen, E. B. Vedel</creatorcontrib><creatorcontrib>Kiêu, K.</creatorcontrib><title>Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point</title><title>Advances in applied probability</title><description>Unbiased stereological estimators of
d
-dimensional volume in ℝ
n
are derived, based on information from an isotropic random
r
-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random
r
-slice in ℝ
n
through
O
hits a fixed point in ℝ
n
is given.</description><subject>Estimating techniques</subject><subject>Life Sciences</subject><subject>Mathematical analysis</subject><subject>Probability</subject><subject>Theory</subject><issn>0001-8678</issn><issn>1475-6064</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNplkcFOAjEQhhujiYg-gLfGm4fVtrvbbo8EQUhINAJem9LtQsnSYrtL9O5r-HI-id1gvHiazP9_-WcmA8A1RncYYXY_RwjhgrIiVpJzyk9AD2csTyii2SnodXbS-efgIoRtbNPI9sBhaVdGBl3CeaO9drVbGyVrOAqN2cnGOAtdBcvkwey0DbGN3qur252GxsLvzy8LK-92UFo4Da7xbm8UfJG2jNq8NkrDxca7dr2BEo7Ne5zz7IxtLsFZJeugr35rHyzHo8VwksyeHqfDwSxRGKU80QWN-xe05BVTZVowxnPJUckZLkrCUVYoHU2FGFFaKpohTTHOiJQEkRXJ0j64PeZuZC32Pp7kP4STRkwGM9FpiDCUZik74MjeHNm9d2-tDo3YutbHg4MgGFOc05xHCB8h5V0IXld_qRiJ7hPi3yfSH4Z-epM</recordid><startdate>19940301</startdate><enddate>19940301</enddate><creator>Jensen, E. B. Vedel</creator><creator>Kiêu, K.</creator><general>Cambridge University Press</general><general>Applied Probability Trust</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope></search><sort><creationdate>19940301</creationdate><title>Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point</title><author>Jensen, E. B. Vedel ; Kiêu, K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1039-e8660686d9f7cd387795a90d9718d29048ce6d9c072ceac640e61142aa202b243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Estimating techniques</topic><topic>Life Sciences</topic><topic>Mathematical analysis</topic><topic>Probability</topic><topic>Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jensen, E. B. Vedel</creatorcontrib><creatorcontrib>Kiêu, K.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Advances in applied probability</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jensen, E. B. Vedel</au><au>Kiêu, K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point</atitle><jtitle>Advances in applied probability</jtitle><date>1994-03-01</date><risdate>1994</risdate><volume>26</volume><issue>1</issue><spage>1</spage><epage>12</epage><pages>1-12</pages><issn>0001-8678</issn><eissn>1475-6064</eissn><coden>AAPBBD</coden><abstract>Unbiased stereological estimators of
d
-dimensional volume in ℝ
n
are derived, based on information from an isotropic random
r
-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random
r
-slice in ℝ
n
through
O
hits a fixed point in ℝ
n
is given.</abstract><cop>Sheffield</cop><pub>Cambridge University Press</pub><doi>10.1017/S0001867800025969</doi><tpages>12</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0001-8678 |
| ispartof | Advances in applied probability, 1994-03, Vol.26 (1), p.1-12 |
| issn | 0001-8678 1475-6064 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_02703437v1 |
| source | JSTOR Mathematics and Statistics; JSTOR - Online Journals |
| subjects | Estimating techniques Life Sciences Mathematical analysis Probability Theory |
| title | Unbiased Stereological Estimation of d-Dimensional Volume in ℝn from an Isotropic Random Slice Through a Fixed Point |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T17%3A27%3A20IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Unbiased%20Stereological%20Estimation%20of%20d-Dimensional%20Volume%20in%20%E2%84%9Dn%20from%20an%20Isotropic%20Random%20Slice%20Through%20a%20Fixed%20Point&rft.jtitle=Advances%20in%20applied%20probability&rft.au=Jensen,%20E.%20B.%20Vedel&rft.date=1994-03-01&rft.volume=26&rft.issue=1&rft.spage=1&rft.epage=12&rft.pages=1-12&rft.issn=0001-8678&rft.eissn=1475-6064&rft.coden=AAPBBD&rft_id=info:doi/10.1017/S0001867800025969&rft_dat=%3Cproquest_hal_p%3E866372%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=211615659&rft_id=info:pmid/&rfr_iscdi=true |