Kreyszig E. Data Analysis, Probability Theory and Mathematical Statistics 2011

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Kreyszig E. Data Analysis, Probability Theory and Mathematical Statistics 2011

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Textbook in PDF format Data Analysis.Probability Theory Data Representation. Average. Spread Graphic Representation of Data Mean. Standard Deviation. Variance. Empirical Rule Experiments, Outcomes, Events Unions, Intersections, Complements of Events Probability Basic Theorems of Probability Conditional Probability. Independent Events Permutations and Combinations Permutations Combinations Factorial Function Binomial Coefficients Random Variables. Probability Distributions Discrete Random Variables and Distributions Continuous Random Variables and Distributions Mean and Variance of a Distribution Transformation of Mean and Variance Expectation, Moments Binomial, Poisson, and Hypergeometric Distributions Binomial Distribution Poisson Distribution Sampling With Replacement Sampling Without Replacement. Hypergeometric Distribution Normal Distribution Distribution Function Numeric Values Working With The Normal Tables A7 and A8 In App. 5 Normal Approximation of the Binomial Distribution Distributions of Several Random Variables Discrete Two-dimensional Distributions Continuous Two-dimensional Distributions Marginal Distributions of a Discrete Distribution Marginal Distributions of a Continuous Distribution Independence of Random Variables Functions of Random Variables Addition of Means Addition of Variances Chapter 25 :Mathematical Statistics Introduction. Random Sampling Point Estimation of Parameters Maximum Likelihood Method Confidence Intervals Confidence Interval For of The Normal Distribution With Known Confidence Interval For of the Normal Distribution With Unknown Confidence Interval For The Variance of The Normal Distribution Confidence Intervals For Parameters of Other Distributions Testing of Hypotheses. Decisions One-sided And Two-sided Alternatives (fig. 533) Errors In Tests Test For of The Normal Distribution With Known Test For When is Unknown, and For Comparison of Means and Variances Quality Control Control Chart For the Mean Control Chart For the Variance Control Chart For the Standard Deviation Control Chart For the Range Acceptance Sampling Errors In Acceptance Sampling Rectification Goodness of Fit.x2-test Nonparametric Tests Regression. Fitting Straight Lines. Correlation Regression Analysis Confidence Intervals in Regression Analysis Correlation Analysis Test For the Correlation Coefficient