A history of the mathematical theory of probability from the time of Pascal to that of Laplace / by I. Todhunter.

  • Isaac Todhunter
Date:
1865
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Licence: Public Domain Mark

Credit: A history of the mathematical theory of probability from the time of Pascal to that of Laplace / by I. Todhunter. Source: Wellcome Collection.

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    FAOR Chapter XI. Daniel Bernoulli . . . .213 Theory of Moral Expectation, 213; Petersburg Problem, 220; Inclination of planes of Planetary Orbits, 222; Small-pox, 224; mean duration of mar- riages, 229; Daniel Bernoulli’s problem, 231; Births of boys and girls, 235; Errors of observations, 236. Chapter XU. Euler 239 Treize, 239; Mortality, 240; Annuities, 242; Pharaon, 243; Lottery, 245; Lottery, 2475 notes on Lagrange, 249; Lottery, 250; Life Assurance, 256. Chapter XIII. D’Alembert 258 Croix ou Pile, 258; Petersburg Problem, 259; Small-pox, 265; Petersburg Problem, 275; Mathematical Expectation, 276; Inoculation, 277; Croix ou Pile, 279; Petersburg Problem, 280; Inoculation, 282; refers to Laplace, 287; Petersburg Problem, 288; error in a problem, 290. Chapter XIV. Bates 294 Bayes’s theorem, 295; his mode of investigation, 296; area of a curve, 298. Price’s example, 299. Approximations to an area, 300. Chapter XV. Lagrange 301 Theory of errors, 301; Recurring Series, 313; Problem of Points, 315; Dura- tion of Play, 316; Annuities, 320. Chapter XVI. Miscellaneous Investigations be- tween THE YEARS 1750 AND 1780 . . . 321 Kaestner, 321. Dodson, 322. Hoyle, 322. Clark’s Laws of Chance, 323. Mallet, 325. John Bernoulli, 325. Beguelin, on a Lottery problem, 328; on the Petersburg Problem, 332. Michell, 332. John Bernoulli, 335. Lambert, 335. Mallet, 337. Emerson, 343. Buffon, on gambling, 344; on the Petersburg Problem, 345 ; his own problem, 347. Puss, 349. Chapter XVII. Condorcet 351 JDiscours PrSlimmaire, 351; Essai, 353; first Hypothesis, 353; second Hypo- thesis, 357; problem on a Run of Events, 361; election of candidates for an office, 370; problems on inverse probability, 3785 Risk which may be neglected, 386; Trial by Jury, 388; advantageous Tribunals, 391; ex- pectation, 392 ; Petersburg Problem, 393; evaluation of feudal rights, 395 ; probability of future events, 398; extraordinary facts, 400; credibility of Roman History, 406. Opinions on Condorcet’s merits, 409.
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