Estimation of parent-offspring correlation

Raja Velu, M. Bhaskara Roa

Research output: Contribution to journalArticle

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

    Fingerprint

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

Cite this