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Karl Pearson in Russian Contexts

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  • Eugene Seneta

Abstract

The confluence of statistics and probability into mathematical statistics in the Russian Empire through the interaction, 1910–1917, of A.A. Chuprov and A.A. Markov was influenced by the writings of the English Biometric School, especially those of Karl Pearson. The appearance of the Russian‐language exposition of Pearsonian ideas by E. E. Slutsky in 1912 was instrumental in this confluence. Slutsky's predecessors in such writings (Lakhtin, Orzhentskii, and Leontovich) were variously of mathematical, political economy, and biological backgrounds. Work emanating from the interpolational nature of Pearson's system of frequency curves was continued subsequently through the work of Markov, Bernstein, Romanovsky, and Kravchuk (Krawtchouk), who laid a solid probabilistic foundation. The correlational nature in the interpolational early work of Chebyshev, and work of the English Biometric School in the guise of linear least‐squares fitting exposited as the main component of Slutsky's book, was developed in population as well as sample context by Chuprov. He also championed the expectation operation in providing exact relations between sample and population moments, in direct interaction with Karl Pearson. Romanovsky emerges as the most adaptive and modern mathematical statistician.

Suggested Citation

  • Eugene Seneta, 2009. "Karl Pearson in Russian Contexts," International Statistical Review, International Statistical Institute, vol. 77(1), pages 118-146, April.
    • Handle: RePEc:bla:istatr:v:77:y:2009:i:1:p:118-146
    DOI: 10.1111/j.1751-5823.2009.00071.x
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    References listed on IDEAS

    as
    1. M. Eileen Magnello, 2009. "Karl Pearson and the Establishment of Mathematical Statistics," International Statistical Review, International Statistical Institute, vol. 77(1), pages 3-29, April.
    2. David R. Bellhouse, 2009. "Karl Pearson's Influence in the United States," International Statistical Review, International Statistical Institute, vol. 77(1), pages 51-63, April.
    3. Eugene Seneta, 2003. "Statistical Regularity and Free Will: L.A.J. Quetelet and P.A. Nekrasov," International Statistical Review, International Statistical Institute, vol. 71(2), pages 319-334, August.
    4. Herbert A. David, 2009. "Karl Pearson—The Scientific Life in a Statistical Age by Theodore M. Porter: A Review," International Statistical Review, International Statistical Institute, vol. 77(1), pages 30-39, April.
    5. Tapan K. Nayak, 2009. "Impact of Karl Pearson's Work on Statistical Developments in India," International Statistical Review, International Statistical Institute, vol. 77(1), pages 72-80, April.
    6. Anna M. Fiori & Michele Zenga, 2009. "Karl Pearson and the Origin of Kurtosis," International Statistical Review, International Statistical Institute, vol. 77(1), pages 40-50, April.
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    Cited by:

    1. Peter Guttorp & Georg Lindgren, 2009. "Karl Pearson and the Scandinavian School of Statistics," International Statistical Review, International Statistical Institute, vol. 77(1), pages 64-71, April.
    2. Arthur Pewsey, 2015. "Discussion," International Statistical Review, International Statistical Institute, vol. 83(2), pages 211-217, August.
    3. Tapan K. Nayak, 2009. "Impact of Karl Pearson's Work on Statistical Developments in India," International Statistical Review, International Statistical Institute, vol. 77(1), pages 72-80, April.
    4. Ida H. Stamhuis & Eugene Seneta, 2009. "Pearson's Statistics in the Netherlands and the Astronomer Kapteyn," International Statistical Review, International Statistical Institute, vol. 77(1), pages 96-117, April.
    5. Claudio Giovanni Borroni, 2009. "Understanding Karl Pearson's Influence on Italian Statistics in the Early 20th Century," International Statistical Review, International Statistical Institute, vol. 77(1), pages 81-95, April.

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