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2 results

  • 3 - The English Statisticians

  • John H. Goldthorpe, University of Oxford
  • Book:
    Pioneers of Sociological Science
    Published online:
    15 February 2021
    Print publication:
    18 February 2021, pp 42-67

  • Summary

    In the late nineteenth and earlier twentieth centuries, Galton, Pearson and Yule, addressing in part social issues as well as those arising in their prime concern with evolutionary biology, created ‘the new English statistics’, which provided an essential methodological foundational for sociological science. Galton moved on from Quetelet in seeing the Gaussian error curve as the basis for determining not different social types but rather the extent of individual variation within human populations. Through struggling with the problems of a naturalistic sociology that he sought to develop, founded on the inheritance of individual characteristics, notably ability, he introduced the techniques of regression and correlation into quantitative data analysis. Pearson and Yule then significantly refined and advanced these techniques and also pioneered – if in the course of a fierce controversy – the analysis of contingency tables.

  • Large deviations for the leaves in some random trees

  • Part of
  • Wlodek Bryc, David Minda, Sunder Sethuraman
  • Journal:
    Advances in Applied Probability / Volume 41 / Issue 3 / September 2009
    Published online by Cambridge University Press:
    01 July 2016, pp. 845-873
    Print publication:
    September 2009
    • Article
      • You have access
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  • Large deviation principles and related results are given for a class of Markov chains associated to the ‘leaves' in random recursive trees and preferential attachment random graphs, as well as the ‘cherries’ in Yule trees. In particular, the method of proof, combining analytic and Dupuis–Ellis-type path arguments, allows for an explicit computation of the large deviation pressure.