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Article: Estimating the number of species via a martingale estimating function

TitleEstimating the number of species via a martingale estimating function
Authors
Chao, AYip, PLin, HS
KeywordsHeterogeneity
Multinomial
Number of classes
Sample coverage
Zero mean martingale
Issue Date1996
PublisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/
Citation
Statistica Sinica, 1996, v. 6 n. 2, p. 403-418 How to Cite?
AbstractA martingale estimating function is proposed to estimate the number of species under a multinomial model with possibly unequal cell probabilities. This approach provides a class of estimators including the maximum likelihood estimator for the equiprobable case and the nonparametric sample coverage estimator (Chao and Lee (1992)) for the non-equiprobable case. Consistency of the proposed estimators is discussed. A simulation study investigates the behavior of the proposed procedure. A data set on Chinese poems is given for illustration.
Persistent Identifierhttp://hdl.handle.net/10722/45336
ISSN
1017-0405
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 1.368
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChao, Aen_HK
dc.contributor.authorYip, Pen_HK
dc.contributor.authorLin, HSen_HK
dc.date.accessioned2007-10-30T06:23:11Z-
dc.date.available2007-10-30T06:23:11Z-
dc.date.issued1996en_HK
dc.identifier.citationStatistica Sinica, 1996, v. 6 n. 2, p. 403-418en_HK
dc.identifier.issn1017-0405en_HK
dc.identifier.urihttp://hdl.handle.net/10722/45336-
dc.description.abstractA martingale estimating function is proposed to estimate the number of species under a multinomial model with possibly unequal cell probabilities. This approach provides a class of estimators including the maximum likelihood estimator for the equiprobable case and the nonparametric sample coverage estimator (Chao and Lee (1992)) for the non-equiprobable case. Consistency of the proposed estimators is discussed. A simulation study investigates the behavior of the proposed procedure. A data set on Chinese poems is given for illustration.en_HK
dc.format.extent222749 bytes-
dc.format.extent1971 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/en_HK
dc.relation.ispartofStatistica Sinicaen_HK
dc.subjectHeterogeneityen_HK
dc.subjectMultinomialen_HK
dc.subjectNumber of classesen_HK
dc.subjectSample coverageen_HK
dc.subjectZero mean martingaleen_HK
dc.titleEstimating the number of species via a martingale estimating functionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1017-0405&volume=6&issue=2&spage=403&epage=418&date=1996&atitle=Estimating+the+number+of+species+via+a+martingale+estimating+functionen_HK
dc.identifier.emailYip, P: sfpyip@hku.hken_HK
dc.identifier.authorityYip, P=rp00596en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.scopuseid_2-s2.0-21344438145en_HK
dc.identifier.hkuros11747-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-21344438145&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume6en_HK
dc.identifier.issue2en_HK
dc.identifier.spage403en_HK
dc.identifier.epage418en_HK
dc.publisher.placeTaiwan, Republic of Chinaen_HK
dc.identifier.scopusauthoridChao, A=7102703038en_HK
dc.identifier.scopusauthoridYip, P=7102503720en_HK
dc.identifier.scopusauthoridLin, HS=10439690300en_HK
dc.identifier.issnl1017-0405-

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