 On the species and related problemsYannis G. Yatracos Statistics & Probability Letters, 1991, vol. 12, issue 3, 209-212 Abstract: Starr (1979) has proved that in the species problem, Robbins' estimate in a search of size n + m has negative correlation with the quantity of interest Un, m [greater-or-equal, slanted] 1; Un, the probability of the unobserved species in a search of size n is a random function of a parameter. Nevertheless the question whether or not one could do better was left open. An estimate Vn,m is provided that has high positive correlation with Un. The form of the proposed estimate Vn,m suggests a natural class of estimates that are highly (positively) correlated with the random function of the parameter that is of interest at any given situation when additional sampling is allowed. Finally, a class of functions of the probabilities of the unobserved species, that cannot be estimated in an unbiased way without additional searches is also offered. Keywords: Probability; of; the; unobserved; outcomes; of; an; experiment; species; problem; estimating; a; random; function; of; a; parameter (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:12:y:1991:i:3:p:209-212 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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