Titlebook: Probability, Statistical Optics, and Data Testing; A Problem Solving Ap B. Roy Frieden Textbook 19831st edition Springer-Verlag Berlin Heid

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Estimating a Probability Law,ll other parameters describing fluctuation may be determined. There are two main schools of thought — the classical and the Bayesian — regarding what can be assumed while making the estimate. These guiding philosophies are discussed more generally in Chap. 16.

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The Student ,-Test on the Mean, Sect. 9.1, . values of the speed of light . are determined by . independent experiments, and the sample mean$${ar c}equiv N^{-1}sumlimits_{n=1}^Nc_n$$ (12.1)is taken. The {..} are the experimental values of .. The purpose of taking the sample mean is to obtain an improved estimate of .. the true v

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,Least-Squares Curve Fitting — Regression Analysis,se that make the law fit a given set of data points in the least-squares sense. Probably the reader has carried through a least-squares curve fit more than once during his career. But, there is actually a great deal more to this problem than accomplishing the fit.

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The Controversy Between Bayesians and Classicists,There are two . to solving certain statistical problems. These are the Bayesian and Classical. approaches. Both camps have strong and vocal partisans, and both approaches give correct answers within their frameworks. As is usual in great controversies, the argument arises out of a difference in poin

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Bernoulli Trials and Its Limiting Cases,The emphasis until this chapter has been upon continuous random variables. Most discrete RV’s may, anyhow, be described as a Dirac limit of corresponding continuous RV’s (Sect. 3.12). But, now we want to consider a situation which is . and has many applications to the world around us. This is the situation of repeated trials.