Statistics for Physical Sciences [Elektronisk resurs] An Introduction.

• Front Cover; Statistics for Physical Sciences: An Introduction; Copyright; Contents; Preface; Chapter 1 - Statistics, Experiments, and Data; 1.1. EXPERIMENTS AND OBSERVATIONS; 1.2. DISPLAYING DATA; 1.3. SUMMARIZING DATA NUMERICALLY; 1.4. LARGE SAMPLES; 1.5. EXPERIMENTAL ERRORS; Chapter 2 - Probability; 2.1. AXIOMS OF PROBABILITY; 2.2. CALCULUS OF PROBABILITIES; 2.3. THE MEANING OF PROBABILITY; Chapter 3 - Probability Distributions I: Basic Concepts; 3.1. RANDOM VARIABLES; 3.2. SINGLE VARIATES; 3.3. SEVERAL VARIATES; 3.4. FUNCTIONS OF A RANDOM VARIABLE. 
• Chapter 4 - Probability Distributions II: Examples4.1. UNIFORM; 4.2. UNIVARIATE NORMAL (GAUSSIAN); 4.3. MULTIVARIATE NORMAL; 4.4. EXPONENTIAL; 4.5. CAUCHY; 4.6. BINOMIAL; 4.7. MULTINOMIAL; 4.8. POISSON; Chapter 5 - Sampling and Estimation; 5.1. RANDOM SAMPLES AND ESTIMATORS; 5.2. ESTIMATORS FOR THE MEAN, VARIANCE, AND COVARIANCE; 5.3. LAWS OF LARGE NUMBERS AND THE CENTRAL LIMIT THEOREM; 5.4. EXPERIMENTAL ERRORS; Chapter 6 - Sampling Distributions Associated with the Normal Distribution; 6.1. CHI-SQUARED DISTRIBUTION; 6.2. STUDENT'S T DISTRIBUTION; 6.3. F DISTRIBUTION. 
• 6.4. RELATIONS BETWEEN ?2, T, AND F DISTRIBUTIONSChapter 7 - Parameter Estimation I: Maximum Likelihood and Minimum Variance; 7.1. ESTIMATION OF A SINGLE PARAMETER; 7.2. VARIANCE OF AN ESTIMATOR; 7.3. SIMULTANEOUS ESTIMATION OF SEVERAL PARAMETERS; 7.4. MINIMUM VARIANCE; Chapter 8 - Parameter Estimation II: Least-Squares and Other Methods; 8.1. UNCONSTRAINED LINEAR LEAST SQUARES; 8.2. LINEAR LEAST SQUARES WITH CONSTRAINTS; 8.3. NONLINEAR LEAST SQUARES; 8.4. OTHER METHODS; Chapter 9 - Interval Estimation; 9.1. CONFIDENCE INTERVALS: BASIC IDEAS; 9.2. CONFIDENCE INTERVALS: GENERAL METHOD. 
• 9.3. NORMAL DISTRIBUTION9.4. POISSON DISTRIBUTION; 9.5. LARGE SAMPLES; 9.6. CONFIDENCE INTERVALS NEAR BOUNDARIES; 9.7. BAYESIAN CONFIDENCE INTERVALS; Chapter 10 - Hypothesis Testing I: Parameters; 10.1. STATISTICAL HYPOTHESES; 10.2. GENERAL HYPOTHESES: LIKELIHOOD RATIOS; 10.3. NORMAL DISTRIBUTION; 10.4. OTHER DISTRIBUTIONS; 10.5. ANALYSIS OF VARIANCE; Chapter 11 - Hypothesis Testing II: Other Tests; 11.1. GOODNESS-OF-FIT TESTS; 11.2. TESTS FOR INDEPENDENCE; 11.3. NONPARAMETRIC TESTS; Appendix A - Miscellaneous Mathematics; A.1. MATRIX ALGEBRA; A.2. CLASSICAL THEORY OF MINIMA. 
• Appendix B - Optimization of Nonlinear Functions 1B.1. GENERAL PRINCIPLES; B.2. UNCONSTRAINED MINIMIZATION OF FUNCTIONS OF ONE VARIABLE; B.3. UNCONSTRAINED MINIMIZATION OF MULTIVARIABLE FUNCTIONS; B.4. CONSTRAINED OPTIMIZATION; Appendix C. Statistical Tables; C.1. NORMAL DISTRIBUTION; C.2. BINOMIAL DISTRIBUTION; C.3. POISSON DISTRIBUTION; C.4. CHI-SQUARED DISTRIBUTION; C.5. STUDENT'S T DISTRIBUTION; C.6. F DISTRIBUTION; C.7. SIGNED-RANK TEST; C.8. RANK-SUM TEST (SEE FOOTNOTE TO TABLE C.7.); C.9. RUNS TEST; C.10. RANK CORRELATION COEFFICIENT; Appendix D Answers to Odd-Numbered Problems. 
• PROBLEMS 1. 

• Statistical Methods for the Physical Sciences is an informal, relatively short, but systematic, guide to the more commonly used ideas and techniques in statistical analysis, as used in physical sciences, together with explanations of their origins. It steers a path between the extremes of a recipe of methods with a collection of useful formulas, and a full mathematical account of statistics, while at the same time developing the subject in a logical way. The book can be read in its entirety by anyone with a basic exposure to mathematics at the level of a first-year undergraduate student 

Ämnesord

Physical sciences -- Statistical methods. 

Statistical physics. 

Genre

Electronic books.  (LCSH)

Klassifikation

QC174.8 .M35 2012 (LCC)

519.5 (DDC)

Thi (kssb/8 (machine generated))