An introduction to mathematical probability
The scope and meaning of mathematical probability. Elementary principles of probability. Bernoulli's theorem. Mean value and dispersion. Geometrical probability. Probability of causes. Errors of observations. Errors in many variables. Indirect observations. The statistical theory of gases. The principles of life insurance.
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accidental errors annuity approximate assume Banker Bernoulli's theorem Bertrand best value Buffon's needle called centre chapter coefficients coin constant curve Czuber definition discrepancy dispersion ellipse event Example expectation expression favourable finite formula function fundamental give given greater happen Hence increases indefinitely independent variables infinite number infinitesimal integral large number law of error less limit Maclaurin series mathematical mathematical induction mean error mean value measurements method multiplied mutually exclusive mutually exclusive events normal equations number of molecules number of successes number of trials observed values oval partial derivatives Peirce's Criterion Player Player's chance Postulate premium priori probability probability for success probable error problem proportional quantity random ratio region replace residual result square stake statistical Stirling's formula Suppose takes the value total number true value turn weighted mean white balls zero