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020 _a052100618x
020 _a052180356x
040 _ctshering
082 _a519.28 WIL
100 _aWilliams, David.
245 _aWeighing the odds :
_ba course in probability and statistics /
_cDavid Williams
260 _aNew York :
_bCambridge university press,
_c2001.
300 _axvii, 547 p. :
_bill. ;
_c24.5 cm.
504 _aIncludes bibliography and index.
520 _aStatistics do not lie, nor is probability paradoxical. You just have to have the right intuition. In this lively look at both subjects, David Williams convinces mathematics students of the intrinsic interest of statistics and probability, and statistics students that the language of mathematics can bring real insight and clarity to their subject. He helps students build the intuition needed, in a presentation enriched with examples drawn from all manner of applications, e.g., genetics, filtering, the Black-Scholes option-pricing formula, quantum probability and computing, and classical and modern statistical models. Statistics chapters present both the Frequentist and Bayesian approaches, emphasising Confidence Intervals rather than Hypothesis Test, and include Gibbs-sampling techniques for the practical implementation of Bayesian methods. A central chapter gives the theory of Linear Regression and ANOVA, and explains how MCMC methods allow greater flexibility in modelling. C or WinBUGS code is provided for computational examples and simulations. Many exercises are included; hints or solutions are often provided
650 _aProbabilities.
650 _a Mathematical statistics.
650 _aProbability
942 _2ddc
_cBK
999 _c6613
_d6613