A note on estimation using self-contained subsets

V. T. George, R. C. Elston

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In a recent article, Li (1986, Annals of Human Genetics 50, 259-270) described a method of subdividing genetic data into self-contained subsets for estimating parameters of interest. The method was illustrated for binomial, multinomial, and Poisson distributions. In the case of the Poisson distribution, Li's estimate is always larger than the sample mean and the reason for this is discussed. It is pointed out that the method based on self-contained subsets gives unbiased estimates for binomial and multinomial parameters, but that the estimate of the Poisson parameter is biased unless all available subsets are included in the estimation.

Original languageEnglish (US)
Pages (from-to)249-252
Number of pages4
JournalBiometrics
Volume44
Issue number1
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

Fingerprint

Poisson distribution
Set theory
Poisson Distribution
Subset
Binomial Distribution
Estimate
Multinomial Distribution
Binomial distribution
Sample mean
Medical Genetics
Biased
Siméon Denis Poisson
methodology
sampling
Genetics

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

A note on estimation using self-contained subsets. / George, V. T.; Elston, R. C.

In: Biometrics, Vol. 44, No. 1, 01.01.1988, p. 249-252.

Research output: Contribution to journalArticle

George, V. T. ; Elston, R. C. / A note on estimation using self-contained subsets. In: Biometrics. 1988 ; Vol. 44, No. 1. pp. 249-252.
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