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Table of Contents
Preface to the Third Edition; Contents; Abbreviations of Names of Organizations and Institutions; Chapter 1: General Concepts in the Theory of Measurements; 1.1 Basic Concepts and Terms; 1.2 The Basic Metrological Problems; 1.3 New Forms of International Cooperation in Metrology; 1.4 Postulates of the Theory of Measurements; 1.5 Classification of Measurements; 1.6 Classification of Measurement Errors; 1.7 General Approach to Evaluation of Measurement Inaccuracy; 1.8 Presentation of Measurement Results; Chapter 2: Measuring Instruments and Their Properties; 2.1 Types of Measuring Instruments
2.2 Metrological Characteristics of Measuring Instruments2.3 Rating of the Errors of Measuring Instruments; 2.4 Dynamic Characteristics of Measuring Instruments; 2.5 Calibration and Verification of Measuring Instruments; 2.6 Designing a Calibration Scheme; 2.7 Statistical Analysis of Measuring Instrument Errors; Chapter 3: Statistical Methods for Experimental Data Processing; 3.1 Methods for Describing Random Quantities; 3.2 Requirements for Statistical Estimates; 3.3 Evaluation of the Parameters of the Normal Distribution; 3.4 Elimination of Outlying Data
3.5 Construction of Confidence Intervals3.6 Reliability of Estimation of the Variance of a Sample from a Normal Distribution; 3.7 Reliability of Estimation of the Standard Deviation of the Mean of a Sample from a Normal Distribution; 3.8 Testing Hypotheses About the Form of the Distribution Function; 3.9 Testing for Homogeneity of Samples; 3.10 Robust Estimates; 3.11 Bootstrap Construction of Confidence Intervals; 3.12 Application of the Bayes ĚTheorem; Chapter 4: Direct Measurements; 4.1 Relation Between Single and Multiple Measurements; 4.2 Classification of Elementary Errors
4.3 Modeling of Elementary Errors4.3.1 Absolutely Constant Errors; 4.3.2 Conditionally Constant Errors; 4.3.3 Purely Random Errors; 4.3.4 Quasirandom Errors; 4.4 Composition of Uniform Distributions; 4.5 Methods for Precise Measurements; 4.6 Accuracy of Single Measurements Using a Measuring Instrument Under Reference Conditions; 4.7 Accuracy of Single Measurements Using a Measuring Instrument Under Rated Conditions; 4.8 Comparison of Standard Deviation and Confidence Interval as Measurement Accuracy Indicators; 4.9 Accuracy of Multiple Direct Measurements
4.10 Universal Method for Summation of Random and Systematic Errors4.11 Analysis of the Accuracy of the Universal Method for Summation of Systematic and Random Errors; 4.12 Comparison of Different Methods for Combining Systematic and Random Errors; Chapter 5: Indirect Measurements; 5.1 Terminology and Classification; 5.2 Correlation Coefficient and Its Calculation; 5.3 Constructing the Composition of Histograms; 5.4 Traditional Method of Measurement Data Processing; 5.5 Shortcomings of the Traditional Method; 5.6 Method of Reduction; 5.7 Method of Enumeration
2.2 Metrological Characteristics of Measuring Instruments2.3 Rating of the Errors of Measuring Instruments; 2.4 Dynamic Characteristics of Measuring Instruments; 2.5 Calibration and Verification of Measuring Instruments; 2.6 Designing a Calibration Scheme; 2.7 Statistical Analysis of Measuring Instrument Errors; Chapter 3: Statistical Methods for Experimental Data Processing; 3.1 Methods for Describing Random Quantities; 3.2 Requirements for Statistical Estimates; 3.3 Evaluation of the Parameters of the Normal Distribution; 3.4 Elimination of Outlying Data
3.5 Construction of Confidence Intervals3.6 Reliability of Estimation of the Variance of a Sample from a Normal Distribution; 3.7 Reliability of Estimation of the Standard Deviation of the Mean of a Sample from a Normal Distribution; 3.8 Testing Hypotheses About the Form of the Distribution Function; 3.9 Testing for Homogeneity of Samples; 3.10 Robust Estimates; 3.11 Bootstrap Construction of Confidence Intervals; 3.12 Application of the Bayes ĚTheorem; Chapter 4: Direct Measurements; 4.1 Relation Between Single and Multiple Measurements; 4.2 Classification of Elementary Errors
4.3 Modeling of Elementary Errors4.3.1 Absolutely Constant Errors; 4.3.2 Conditionally Constant Errors; 4.3.3 Purely Random Errors; 4.3.4 Quasirandom Errors; 4.4 Composition of Uniform Distributions; 4.5 Methods for Precise Measurements; 4.6 Accuracy of Single Measurements Using a Measuring Instrument Under Reference Conditions; 4.7 Accuracy of Single Measurements Using a Measuring Instrument Under Rated Conditions; 4.8 Comparison of Standard Deviation and Confidence Interval as Measurement Accuracy Indicators; 4.9 Accuracy of Multiple Direct Measurements
4.10 Universal Method for Summation of Random and Systematic Errors4.11 Analysis of the Accuracy of the Universal Method for Summation of Systematic and Random Errors; 4.12 Comparison of Different Methods for Combining Systematic and Random Errors; Chapter 5: Indirect Measurements; 5.1 Terminology and Classification; 5.2 Correlation Coefficient and Its Calculation; 5.3 Constructing the Composition of Histograms; 5.4 Traditional Method of Measurement Data Processing; 5.5 Shortcomings of the Traditional Method; 5.6 Method of Reduction; 5.7 Method of Enumeration