Estimation of parent-offspring correlation

Raja Velu, M. Bhaskara Roa

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

When families have different numbers of offspring, Srivastava (1984) provided an easily computable estimator as an alternative to the maximum likelihood estimator of parent-offspring correlation. Some properties of this estimator are discussed vis-à-vis with those of ensemble and pairwise estimators. Further, we derive the small sample distribution of Srivastava's estimator under the assumption of null parent-offspring correlation. In the process, we demonstrate that a certain function of the classical sib-mean estimator has Student's t distribution despite differing sib-ship sizes.

Original languageEnglish (US)
Pages (from-to)557-562
Number of pages6
JournalBiometrika
Volume77
Issue number3
DOIs
StatePublished - Sep 1 1990
Externally publishedYes

Keywords

  • Ensemble estimator
  • Familial data
  • Pairwise estimator
  • Parent-offspring correlation
  • Sib-mean estimator
  • Small sample distribution
  • Srivastava's estimator

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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