Probability, Statistics, and TruthThis comprehensive study of probability, its relation to statistics, and its truth-finding value considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics. Numerous examples complement the text. |
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apply assume assumption attribute Bayes's Bayes's Theorem Bernoulli bility black balls Brownian motion calculated Chevalier de Méré classical mechanics combination concept of probability consider corresponding death definition of probability derived dice discussed dispersion distribution draw elements entropy equal probabilities example existence experiments fact finite formulation frequency definition frequency theory fundamental operations games of chance given illustrations infinite sequence initial collective instance interval investigation kind Large Numbers Law of Large lecture length Lexis's limiting value logical long sequence mathematical means measure mechanics method molecules n₁ n₁/n Newtonian mechanics number of different obtained occur original phenomena physical place selection point of view Poisson's Theorem possible principle priori prob proba probability calculus probability theory problem properties proposition question randomness ratio relative frequency rule sequence of observations single square statement statistical functions sufficiently long theory of probability throws tion total number velocity words