Measurement errors and uncertainties: theory and practice
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
New York
AIP Press [u.a.]
2000
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 289 - 291 |
| Beschreibung: | XII, 296 S. graph. Darst. |
| ISBN: | 0387988351 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804127773098246144 |
|---|---|
| adam_text | SEMYON G. RABINOVICH
MEASUREMENT ERRORS
AND UNCERTAINTIES
THEORY AND PRACTICE
SECOND EDITION
TRANSLATED BY
M.E. ALFERIEFF
AIP PJFE SPRINGER
CONTENTS
PREFACE V
CHAPTER 1
GENERAL INFORMATION ABOUT MEASUREMENTS 1
1.1. BASIC CONCEPTS AND TERMS 1
1.2. METROLOGY AND THE BASIC METROLOGICAL PROBLEMS 3
1.3. INITIAL POINTS OF THE THEORY OF MEASUREMENTS 11
1.4. CLASSIFICATION OF MEASUREMENTS 16
1.5. CLASSIFICATION OF MEASUREMENT ERRORS 21
1.6. PRINCIPLES OF ESTIMATION OF MEASUREMENT ERRORS AND UNCERTAINTIES 24
1.7. PRESENTATION OF RESULTS OF MEASUREMENTS: RULES FOR ROUNDING OFF 26
1.8. BASIC CONVENTIONAL NOTATIONS 29
CHAPTER 2
MEASURING INSTRUMENTS AND THEIR PROPERTIES 31
2.1. TYPES OF MEASURING INSTRUMENTS 31
2.2. THE CONCEPT OF AN IDEAL INSTRUMENT: METROLOGICAL CHARACTERISTICS
OF MEASURING INSTRUMENTS 34
2.3. STANDARDIZATION OF THE METROLOGICAL CHARACTERISTICS OF
MEASURING INSTRUMENTS 38
2.4. SOME SUGGESTIONS FOR CHANGING METHODS OF STANDARDIZATION OF
ERRORS OF MEASURING INSTRUMENTS AND THEIR ANALYSIS 50
2.5. DYNAMIC CHARACTERISTICS OF MEASURING INSTRUMENTS AND
THEIR STANDARDIZATION 55
2.6. STATISTICAL ANALYSIS OF THE ERRORS OF MEASURING INSTRUMENTS BASED
ON DATA PROVIDED BY CALIBRATION LABORATORIES 60
CHAPTER 3
PREREQUISITES FOR THE ANALYSIS OF THE INACCURACY OF MEASUREMENTS
AND FOR SYNTHESIS OF THEIR COMPONENTS 65
3.1. RELATIONSHIP BETWEEN ERROR AND UNCERTAINTY 65
3.2. CLASSIFICATION OF ELEMENTARY ERRORS 67
X CONTENTS
3.3. MATHEMATICAL MODELS OF ELEMENTARY ERRORS 68
3.4. METHODS FOR DESCRIBING RANDOM QUANTITIES 70
3.5. CONSTRUCTION OF THE COMPOSITION OF UNIFORM DISTRIBUTIONS 74
3.6. UNIVERSAL METHOD FOR CONSTRUCTING THE COMPOSITION OF DISTRIBUTIONS
.. 79
3.7. NATURAL LIMITS OF MEASUREMENTS 86
CHAPTER 4
STATISTICAL METHODS FOR EXPERIMENTAL DATA PROCESSING 96
4.1. REQUIREMENTS FOR STATISTICAL ESTIMATIONS 96
4.2. ESTIMATION OF THE PARAMETERS OF THE NORMAL DISTRIBUTION 97
4.3. OUTLYING RESULTS 100
4.4. CONSTRUCTION OF CONFIDENCE INTERVALS 102
4.5. METHODS FOR TESTING HYPOTHESES ABOUT THE FORM OF THE DISTRIBUTION
FUNCTION OF A RANDOM QUANTITY 105
4.6. METHODS FOR TESTING SAMPLE HOMOGENEITY 108
4.7. ESTIMATION OF THE PARAMETERS OF NONNORMAL DISTRIBUTIONS 114
4.8. EXAMPLE: ANALYSIS OF MEASUREMENT RESULTS IN COMPARISONS
OF MEASURES OF MASS 116
CHAPTER 5
DIRECT MEASUREMENTS 118
5.1. RELATION BETWEEN SINGLE AND MULTIPLE MEASUREMENTS 118
5.2. IDENTIFICATION AND ELIMINATION OF SYSTEMATIC ERRORS 121
5.3. ESTIMATION OF ELEMENTARY ERRORS 127
5.4. METHOD FOR CALCULATING THE ERRORS AND UNCERTAINTIES OF
SINGLE MEASUREMENTS 132
5.5. EXAMPLE: CALCULATION OF UNCERTAINTY IN VOLTAGE MEASUREMENTS
PERFORMED WITH A POINTER-TYPE VOLTMETER 136
5.6. METHOD FOR CALCULATING THE UNCERTAINTY IN MULTIPLE MEASUREMENTS 142
5.7. COMPARISON OF DIFFERENT METHODS FOR COMBINING SYSTEMATIC AND
RANDOM ERRORS 154
5.8. ESSENTIAL ASPECTS OF THE ESTIMATION OF MEASUREMENT ERRORS WHEN
THE NUMBER OF MEASUREMENTS IS SMALL 158
5.9. GENERAL PLAN FOR ESTIMATING MEASUREMENT UNCERTAINTY 160
CHAPTER 6
INDIRECT MEASUREMENTS 163
6.1. BASIC TERMS AND CLASSIFICATION 163
6.2. CORRELATION COEFFICIENT AND ITS CALCULATION 164
6.3. THE TRADITIONAL METHOD OF EXPERIMENTAL DATA PROCESSING 166
6.4. SHORTCOMINGS OF THE TRADITIONAL METHOD 170
6.5. THE METHOD OF REDUCTION AND ITS PLACE IN THE THEORY OF
INDIRECT MEASUREMENTS 172
6.6. ERRORS AND UNCERTAINTY OF INDIRECT MEASUREMENT RESULTS 174
6.7. AN INDIRECT MEASUREMENT OF THE ELECTRICAL RESISTANCE OF A RESISTOR
179
6.8. THE MEASUREMENT OF THE DENSITY OF A SOLID BODY 183
CONTENTS XI
6.9. THE MEASUREMENT OF IONIZATION CURRENT BY THE COMPENSATION
METHOD 186
6.10. THE MEASUREMENT OF POWER AT HIGH FREQUENCY 189
6.1-1. THE MEASUREMENT OF VOLTAGE WITH THE HELP OF A POTENTIOMETER
AND A VOLTAGE DIVIDER 190
6.12. CALCULATION OF THE UNCERTAINTY OF THE VALUE OF A COMPOUND RESISTOR
.. 194
CHAPTER 7
COMBINED MEASUREMENTS 197
7.1. GENERAL REMARKS ABOUT THE METHOD OF LEAST SQUARES 197
7.2. MEASUREMENTS WITH LINEAR EQUALLY ACCURATE CONDITIONAL EQUATIONS ...
199
7.3. REDUCTION OF LINEAR UNEQUALLY ACCURATE CONDITIONAL EQUATIONS TO
EQUALLY ACCURATE CONDITIONAL EQUATIONS 201
7.4. LINEARIZATION OF NONLINEAR CONDITIONAL EQUATIONS 202
7.5. EXAMPLES OF THE APPLICATIONS OF THE METHOD OF LEAST SQUARES 204
7.6. DETERMINATION OF THE PARAMETERS IN FORMULAS FROM EMPIRICAL DATA
AND CONSTRUCTION OF CALIBRATION CURVES 209
CHAPTER 8
COMBINING THE RESULTS OF MEASUREMENTS 215
8.1. INTRODUCTORY REMARKS 215
8.2. THEORETICAL PRINCIPLES 215
8.3. EFFECT OF THE ERROR OF THE WEIGHTS ON THE ERROR OF THE WEIGHTED
MEAN . 219
8.4. COMBINING THE RESULTS OF MEASUREMENTS IN WHICH THE RANDOM
ERRORS PREDOMINATE 221
8.5. COMBINING THE RESULTS OF MEASUREMENTS CONTAINING BOTH
SYSTEMATIC AND RANDOM ERRORS 222
8.6. EXAMPLE: MEASUREMENT OF THE ACTIVITY OF NUCLIDES IN A SOURCE 230
CHAPTER 9
CALCULATION OF THE ERRORS OF MEASURING INSTRUMENTS 233
9.1. THE PROBLEMS OF CALCULATING MEASURING INSTRUMENT ERRORS 233
9.2. METHODS FOR CALCULATING INSTRUMENT ERRORS 234
9.3. CALCULATION OF THE ERRORS OF ELECTRIC BALANCES (UNIQUE INSTRUMENT)
.... 245
9.4. CALCULATION OF THE ERROR OF AC VOLTMETERS (MASS-PRODUCED
INSTRUMENT). 248
9.5. CALCULATION OF THE ERROR OF DIGITAL THERMOMETERS
(MASS-PRODUCED INSTRUMENT) 255
CHAPTER 10
PROBLEMS IN THE THEORY OF CALIBRATION 259
10.1. TYPES OF CALIBRATION 259
10.2. ESTIMATION OF THE ERRORS OF MEASURING INSTRUMENTS IN VERIFICATION
261
10.3. REJECTS OF VERIFICATION AND WAYS TO REDUCE THEIR NUMBER 265
10.4. CALCULATION OF A NECESSARY NUMBER OF STANDARDS 272
XII CONTENTS
APPENDIX 279
GLOSSARY 285
REFERENCES 289
INDEX 293
|
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| language | English Russian |
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| spelling | Rabinovič, Semen G. Verfasser (DE-588)121807169 aut Pogrešnosti izmerenij Measurement errors and uncertainties theory and practice Semyon G. Rabinovich 2. ed. New York AIP Press [u.a.] 2000 XII, 296 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 289 - 291 Análise de erros larpcal Erreurs, Théorie des Medidas (análise matemática) larpcal Mesure Error analysis (Mathematics) Measurement Messunsicherheit (DE-588)4210374-5 gnd rswk-swf Messfehler (DE-588)4133270-2 gnd rswk-swf Messgenauigkeit (DE-588)4138706-5 gnd rswk-swf Messunsicherheit (DE-588)4210374-5 s DE-604 Messfehler (DE-588)4133270-2 s 1\p DE-604 Messgenauigkeit (DE-588)4138706-5 s 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908329&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rabinovič, Semen G. Measurement errors and uncertainties theory and practice Análise de erros larpcal Erreurs, Théorie des Medidas (análise matemática) larpcal Mesure Error analysis (Mathematics) Measurement Messunsicherheit (DE-588)4210374-5 gnd Messfehler (DE-588)4133270-2 gnd Messgenauigkeit (DE-588)4138706-5 gnd |
| subject_GND | (DE-588)4210374-5 (DE-588)4133270-2 (DE-588)4138706-5 |
| title | Measurement errors and uncertainties theory and practice |
| title_alt | Pogrešnosti izmerenij |
| title_auth | Measurement errors and uncertainties theory and practice |
| title_exact_search | Measurement errors and uncertainties theory and practice |
| title_full | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_fullStr | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_full_unstemmed | Measurement errors and uncertainties theory and practice Semyon G. Rabinovich |
| title_short | Measurement errors and uncertainties |
| title_sort | measurement errors and uncertainties theory and practice |
| title_sub | theory and practice |
| topic | Análise de erros larpcal Erreurs, Théorie des Medidas (análise matemática) larpcal Mesure Error analysis (Mathematics) Measurement Messunsicherheit (DE-588)4210374-5 gnd Messfehler (DE-588)4133270-2 gnd Messgenauigkeit (DE-588)4138706-5 gnd |
| topic_facet | Análise de erros Erreurs, Théorie des Medidas (análise matemática) Mesure Error analysis (Mathematics) Measurement Messunsicherheit Messfehler Messgenauigkeit |
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