Introduction to probability and statistics for scientists and engineers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
MacGraw-Hill
1997
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| Ausgabe: | Internat. ed. |
| Schriftenreihe: | MacGraw-Hill series in probability and statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 592 S. graph. Darst. |
| ISBN: | 007053988X |
Internformat
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| 245 | 1 | 0 | |a Introduction to probability and statistics for scientists and engineers |c Walter A. Rosenkrantz |
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Datensatz im Suchindex
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| adam_text | INTRODUCTION TO PROBABILITYAND SCIENTISTS AND ENGINEERS WALTER A.
ROSENKRANTZ DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF
MASSACHUSETTS AT AMHERST THE MCGRAW-HILL COMPANIES, INC. NEW YORK ST.
LOUIS SAN FRANCISCO AUCKLAND BOGOTA CARACAS LISBON LONDON MADRID MEXICO
CITY MILAN MONTREAL NEW DELHI SAN JUAN SINGAPORE SYDNEY TOKYO TORONTO
CONTENTS PREFACE CHAPTER 1 CHAPTER 2 DATA ANALYSIS 1.1 ORIENTATION 1.2
THE ROLE AND SCOPE OF STATISTICS IN SCIENCE AND ENGINEERING 1.3 DATA
DEFINED ON A POPULATION 1.4 THE FREQUENCY DISTRIBUTION OF A VARIABLE
DEFINED ON A POPULATION PROBLEMS 1.5 QUANTILES OF A DISTRIBUTION
PROBLEMS 1.6 MEASURES OF LOCATION (CENTRAL VALUE) AND VARIABILITY
PROBLEMS 1.7 MATHEMATICAL DETAILS AND DERIVATIONS 1.8 CHAPTER SUMMARY
PROBABILITY THEORY 2.1 ORIENTATION 2.2 SAMPLE SPACE, EVENTS, AND AXIOMS
OF PROBABILITY THEORY PROBLEMS 2.3 MATHEMATICAL MODELS OF RANDOM
SAMPLING PROBLEMS ^ : . 2.4 CONDITIONAL PROBABILITY, BAYES THEOREM, AND
INDEPENDENCE * - PROBLEMS 2.5 THE BINOMIAL THEOREM (OPTIONAL) 2.6
CHAPTER SUMMARY : X 1 1 2 6 10 22 28 35 38 44 48 49 50 50 52 64 66 77 79
85 87 88 V VI CONTENTS CHAPTER 3 - DISCRETE RANDOM VARIABLES AND THEIR
DISTRIBUTION FUNCTIONS 3.1 ORIENTATION 3.2 DISCRETE RANDOM VARIABLES
PROBLEMS 3.3 EXPECTED VALUE AND VARIANCE OF A RANDOM VARIABLE PROBLEMS
3.4 THE HYPERGEOMETRIC DISTRIBUTION 3.5 THE BINOMIAL DISTRIBUTION
PROBLEMS 3.6 THE POISSON DISTRIBUTION PROBLEMS 3.7 MATHEMATICAL DETAILS
AND DERIVATIONS 3.8 CHAPTER SUMMARY 89 89 90 99 101 111 113 118 125 128
131 132 135 CHAPTER 4 CONTINUOUS RANDOM VARIABLES AND THEIR DISTRIBUTION
FUNCTIONS 136 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 ORIENTATION DEFINITION AND
EXAMPLES OF CONTINUOUS RANDOM VARIABLES PROBLEMS EXPECTED VALUE,
MOMENTS, AND VARIANCE OF A CONTINUOUS RANDOM VARIABLE PROBLEMS THE
NORMAL DISTRIBUTION PROBLEMS OTHER IMPORTANT CONTINUOUS DISTRIBUTIONS
PROBLEMS FUNCTIONS OF A RANDOM VARIABLE PROBLEMS MATHEMATICAL DETAILS
AND DERIVATIONS CHAPTER SUMMARY 136 137 143 146 148 149 162 164 167 168
170 171 172 CHAPTER 5 MULTIVARIATE PROBABILITY DISTRIBUTIONS CONTENTS
VII 173 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 ORIENTATION THE JOINT
PROBABILITY FUNCTION PROBLEMS PROBLEMS THE MULTINOMIAL DISTRIBUTION THE
POISSON PROCESS APPLICATIONS OF BERNOULLI RANDOM VARIABLES TO
RELIABILITY THEORY (OPTIONAL) PROBLEMS THE JOINT DENSITY FUNCTION
(CONTINUOUS CASE) PROBLEMS MATHEMATICAL DETAILS AND DERIVATIONS CHAPTER
SUMMARY 173 174 181 192 193 195 195 200 202 213 215 217 CHAPTER 6
SAMPLING DISTRIBUTION THEORY 218 6.1 ORIENTATION 6.2 SAMPLING FROM A
NORMAL DISTRIBUTION PROBLEMS 6.3 THE GAMMA DISTRIBUTION 6.4 THE
DISTRIBUTION OF THE SAMPLE VARIANCE PROBLEMS 6.5 MATHEMATICAL DETAILS
AND DERIVATIONS 6.6 CHAPTER SUMMARY 218 219 224 227 235 240 241 242
CHAPTER 7 POINT AND INTERVAL ESTIMATION 243 7.1 7.2 7.3 ORIENTATION
POINT ESTIMATION OF THE MEAN AND VARIANCE CONFIDENCE INTERVALS FOR THE
MEAN AND VARIANCE PROBLEMS 243 244 248 256 VIII CONTENTS 7.4 POINT AND
INTERVAL ESTIMATION FOR THE DIFFERENCE OF TWO MEANS PROBLEMS 7.5 POINT
AND INTERVAL ESTIMATION FOR A POPULATION PROPORTION PROBLEMS 7.6 SOME
METHODS OF ESTIMATION (OPTIONAL) PROBLEMS 7.7 CHAPTER SUMMARY 259 263
266 269 271 277 278 CHAPTER 8 INFERENCES ABOUT POPULATION MEANS 279 8.1
ORIENTATION 8.2 TESTS OF STATISTICAL HYPOTHESES: BASIC CONCEPTS AND
EXAMPLES PROBLEMS 8.3 TESTS OF HYPOTHESES ON /U,I * YUZ PROBLEMS 8.4
NORMAL PROBABILITY PLOTS PROBLEMS 8.5 CHAPTER SUMMARY 279 280 304 309
317 321 325 326 CHAPTER 9 INFERENCES ABOUT POPULATION PROPORTIONS 327
9.1 ORIENTATION 9.2 TESTS CONCERNING THE PARAMETER P OF A BINOMIAL
DISTRIBUTION PROBLEMS 9.3 CHI-SQUARE TEST 9.4 CONTINGENCY TABLES
PROBLEMS 9.5 CHAPTER SUMMARY 327 328 334 336 341 347 351 CONTENTS IX
CHAPTER 10 LINEAR REGRESSION AND CORRELATION 352 10.1 ORIENTATION 352
10.2 METHOD OF LEAST SQUARES 353 PROBLEMS 363 10.3 THE SIMPLE LINEAR
REGRESSION MODEL 366 PROBLEMS 382 10.4 MODEL CHECKING 386 PROBLEMS 396
10.5 MATHEMATICAL DETAILS AND DERIVATIONS 399 PROBLEMS 404 10.6 CHAPTER
SUMMARY 404 CHAPTER 11 MULTIPLE LINEAR REGRESSION 406 11.1 ORIENTATION
406 11.2 THE MATRIX APPROACH TO SIMPLE LINEAR REGRESSION 407 PROBLEMS
417 11.3 THE MATRIX APPROACH TO MULTIPLE LINEAR REGRESSION 418 PROBLEMS
432 11.4 MATHEMATICAL DETAILS AND DERIVATIONS 435 11.5 CHAPTER SUMMARY
435 CHAPTER 12 SINGLE-FACTOR EXPERIMENTS: ANALYSIS OF VARIANCE 437 12.1
ORIENTATION 437 12.2 THE SINGLE-FACTOR ANOVA MODEL 438 PROBLEMS 453 12.3
CONFIDENCE INTERVALS FOR THE TREATMENT MEANS; CONTRASTS 456 PROBLEMS 462
12.4 RANDOM EFFECTS MODEL 464 PROBLEMS 466 12.5 CHAPTER SUMMARY 468 X
CONTENTS CHAPTER 13 DESIGN AND ANALYSIS OF MULTIFACTOR EXPERIMENTS 469
13.1 ORIENTATION 13.2 RANDOMIZED COMPLETE BLOCK DESIGNS PROBLEMS 13.3
TWO-FACTOR EXPERIMENTS WITH N 1 OBSERVATIONS PER CELL PROBLEMS 13.4 2
K FACTORIAL DESIGNS (OPTIONAL) PROBLEMS 13.5 CHAPTER SUMMARY CHAPTER 14
STATISTICAL QUALITY CONTROL 469 470 482 485 498 501 521 524 525 14.1
ORIENTATION 14.2 X AND R CONTROL CHARTS 14.3 P CHARTS AND C CHARTS
PROBLEMS 14.4 CHAPTER SUMMARY APPENDIX A TABLES ANSWERS TO ODD-NUMBERED
PROBLEMS INDEX 525 526 535 539 541 543 565 583
|
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| discipline | Mathematik |
| edition | Internat. ed. |
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| indexdate | 2024-07-09T18:08:44Z |
| institution | BVB |
| isbn | 007053988X |
| language | English |
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| series2 | MacGraw-Hill series in probability and statistics |
| spelling | Rosenkrantz, Walter A. Verfasser aut Introduction to probability and statistics for scientists and engineers Walter A. Rosenkrantz Internat. ed. New York [u.a.] MacGraw-Hill 1997 XIV, 592 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier MacGraw-Hill series in probability and statistics Ingenieurwissenschaften Engineering Statistical methods Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007647413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosenkrantz, Walter A. Introduction to probability and statistics for scientists and engineers Ingenieurwissenschaften Engineering Statistical methods Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4056995-0 |
| title | Introduction to probability and statistics for scientists and engineers |
| title_auth | Introduction to probability and statistics for scientists and engineers |
| title_exact_search | Introduction to probability and statistics for scientists and engineers |
| title_full | Introduction to probability and statistics for scientists and engineers Walter A. Rosenkrantz |
| title_fullStr | Introduction to probability and statistics for scientists and engineers Walter A. Rosenkrantz |
| title_full_unstemmed | Introduction to probability and statistics for scientists and engineers Walter A. Rosenkrantz |
| title_short | Introduction to probability and statistics for scientists and engineers |
| title_sort | introduction to probability and statistics for scientists and engineers |
| topic | Ingenieurwissenschaften Engineering Statistical methods Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Ingenieurwissenschaften Engineering Statistical methods Probabilities Wahrscheinlichkeitsrechnung Statistik |
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