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" As, upon the Supposition of a certain determinate Law according to which any Event is to happen, we demonstrate that the Ratio of Happenings will continually approach to that Law, as the Experiments or Observations are multiplied : so, conversely, if... "
The Doctrine of Chances: Or, a Method of Calculating the Probabilities of ... - Page 251
by Abraham de Moivre - 1756 - 348 pages
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Statistical Visions in Time: A History of Time Series Analysis, 1662-1938

Judy L. Klein - 1997 - 376 pages
...Law. as the experiments or observations are multiplied: so conversely. if from numberless observations we find the Ratio of the Events to converge to a determinate...Ratio of P to Q: then we conclude that this Ratio expresses the determinate law according to which the event is to happen. iDe Moivre [i 718] 1756. 251i...
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Games, Gods, and Gambling: A History of Probability and Statistical Ideas

Florence Nightingale David - 1998 - 324 pages
...as the Experiments or Observations are multiplied : so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate...Ratio of P to Q,', then we conclude that this Ratio expresses the determinate Law according to which the Event is to happen. For let that Law be expressed...
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A History of Inverse Probability: From Thomas Bayes to Karl Pearson, 2nd edition

Andrew I. Dale - 1999 - 714 pages
...as the Experiments or Observations are multiplied; so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate...Ratio of P to Q; then we conclude that this Ratio expresses the determinate Law according to which the Event is to happen. [1756, p. 251] There is, I...
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A Treatise on Induction and Probability, Volume 7

Georg Henrik Von Wright - 2000 - 320 pages
...as the Experiments or Observations are multiplied: so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate quantity, as to the Ratio of P to Qj then we conclude that this Ratio expresses the determinate Law according to which the Event is to...
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Analysis and Synthesis in Mathematics: History and Philosophy

Michael Otte, Marco Panza - 1997 - 476 pages
...as the Experiments or Observations are multiplied: so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate...Ratio of P to Q; then we conclude that this Ratio expresses the determinate Law according to which the Event is to happen. For let that Law be expressed...
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Analysis and Synthesis in Mathematics: History and Philosophy

Michael Otte, Marco Panza - 1997 - 476 pages
...Law, as the Experiments or Observations are multiplied so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate quantity, as to the Ratio off to Q; then we conclude that this Ratio expresses the determinate Law according to which the Event...
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A History of Probability and Statistics and Their Applications before 1750

Anders Hald - 2005 - 608 pages
...idea is evident from his introduction to Remark II, where he writes; if from numberless Observations we find the Ratio of the Events to converge to a determinate...quantity, as to the Ratio of P to Q: then we conclude thai this Ratio expresses the determinate Law according to which the Event is to happen. For let that...
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A History of Probability and Statistics and Their Applications before 1750

Anders Hald - 2005 - 608 pages
...II, where he writes; if from numberless Observations we find the Ratio of the Events to converge (o a determinate quantity, as to the Ratio of P to Q\ then we conclude that this Ratio expresses the determinate Law according to which the Event is to happen. For let that Law be expressed...
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The Art of Conjecturing, Together with Letter to a Friend on Sets in Court ...

Jacob Bernoulli - 2006 - 468 pages
...Cambridge University Press, 1975), pp. 154ÍF. multiplied: so, conversely, if from numberless Observations we find the Ratio of the Events to converge to a determinate...Ratio of P to Q; then we conclude that this Ratio expresses the determinate Law according to which the Event is to happen. For let that Law be expressed...
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