Cantillo, Andres (2011): The first statement of the formula for the Normal Curve.
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Abstract
De Moivre’s book “The Doctrine of Chances” (2) is thorough account of what was known about probability and annuities. The proof that is the object of this paper is included in the very last pages of the book (pages 235-243). The aim of the present paper is to explicate De Moivre’s first part of the proof in such a way that we can trace back the reasoning behind this creation has shaped the modern way of doing science.
Item Type: | MPRA Paper |
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Original Title: | The first statement of the formula for the Normal Curve |
Language: | English |
Keywords: | Probabilities, Statistical Methods |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General |
Item ID: | 49779 |
Depositing User: | Mr. Andres Cantillo |
Date Deposited: | 13 Sep 2013 07:49 |
Last Modified: | 26 Sep 2019 09:21 |
References: | 1. Smith, David. A source book in Mathematics. New York : McGraw-Hill, 1959. 0-486-64690-4. 2. DeMoivre, Abraham. The Doctrone of Chances. London : Woodfall, 1738. 3. Stigler, Stephen. The History of Statistics. Cambridge, Massachusetts : Harvard University Press, 1986. 0-674-40340-1. 4. James Bernoulli's Theorem. Pearson, Karl. 3/4 (Dec), pp.201-210, s.l. : Biometrika, 1925, Vol. 17. 5. DeMoivre, Abraham. The Doctrine of Chances: or, A Method of Calculating the Probabilities of Events in Play. New York : Chelsea, 1967. 6. Katz, Victor. A History of Mathematics. Boston : Addison-Wesley, 2009. 7. Rudas, Tomas. Handbook of Probability. Los Angeles : Sage Publications, 2008. 978-1-4129-2714-7. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/49779 |