Maximum Likelihood Estimates for the Schnabel Census with Plants

Autor:	I. B. J. Goudie, R. Gormley
Rok vydání:	2013
Předmět:	Statistics and Probability Mark and recapture Restricted maximum likelihood Population size Statistics Econometrics Sampling (statistics) Maximum likelihood sequence estimation Likelihood function Unimodality Confidence interval Mathematics
Zdroj:	Communications in Statistics - Theory and Methods. 42:3704-3715
ISSN:	1532-415X 0361-0926
DOI:	10.1080/03610926.2011.636167
Popis:	We consider a generalization of the Schnabel census in which a known number of planted individuals is added to the target population before sampling commences. We derive the distribution of the number of distinct target individuals seen after drawing samples of predetermined size, and prove that the ensuing likelihood function is unimodal. We obtain the maximum likelihood estimator, together with its asymptotic moments, and investigate its small sample properties computationally. Two approaches for obtaining confidence intervals based on maximum likelihood estimates are presented and compared.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ad3a8a54ecd052318f83a4da7cd4c751 https://doi.org/10.1080/03610926.2011.636167 Zobrazit plný text záznamu