Ebook: Probability, Statistical Optics, and Data Testing: A Problem Solving Approach

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Content:
Front Matter....Pages I-XX
Introduction....Pages 1-6
The Axiomatic Approach....Pages 7-36
Continuous Random Variables....Pages 37-69
Fourier Methods in Probability....Pages 70-98
Functions of Random Variables....Pages 99-133
Bernoulli Trials and Limiting Cases....Pages 134-161
The Monte Carlo Calculation....Pages 162-176
Stochastic Processes....Pages 177-232
Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability....Pages 233-263
Estimating a Probability Law....Pages 264-293
The Chi-Square Test of Significance....Pages 294-306
The Student t-Test on the Mean....Pages 307-319
The F-Test on Variance....Pages 320-326
Least-Squares Curve Fitting — Regression Analysis....Pages 327-349
Principal Components Analysis....Pages 350-361
The Controversy between Bayesians and Classicists....Pages 363-373
Introduction to Estimation Methods....Pages 374-408
Back Matter....Pages 409-443

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Content:
Front Matter....Pages I-XX
Introduction....Pages 1-6
The Axiomatic Approach....Pages 7-36
Continuous Random Variables....Pages 37-69
Fourier Methods in Probability....Pages 70-98
Functions of Random Variables....Pages 99-133
Bernoulli Trials and Limiting Cases....Pages 134-161
The Monte Carlo Calculation....Pages 162-176
Stochastic Processes....Pages 177-232
Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability....Pages 233-263
Estimating a Probability Law....Pages 264-293
The Chi-Square Test of Significance....Pages 294-306
The Student t-Test on the Mean....Pages 307-319
The F-Test on Variance....Pages 320-326
Least-Squares Curve Fitting — Regression Analysis....Pages 327-349
Principal Components Analysis....Pages 350-361
The Controversy between Bayesians and Classicists....Pages 363-373
Introduction to Estimation Methods....Pages 374-408
Back Matter....Pages 409-443
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