Probability and its applications for engineers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker [u.a.]
1992
|
| Ausgabe: | 1. print. |
| Schriftenreihe: | Quality and reliability
35 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 634 S. graph. Darst. |
| ISBN: | 0824786564 |
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| 264 | 1 | |a New York |b Dekker [u.a.] |c 1992 | |
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Datensatz im Suchindex
| _version_ | 1804136101854576640 |
|---|---|
| adam_text | Contents
About the Series v
Preface v»
PART I
Chapter 1 Preliminaries of Probability 1
1.1 Introduction 1
1.2 Review of Set Theory 4
1.3 Sample Spaces and Events 12
1.4 Axioms of Probability 18
Problems 23
Chapter 2 Finite Sample Spaces 27
2.1 Elementary Events 27
2.2 Some Rules for Counting 32
2.3 Hypergeometric Distribution 41
2.4f Quality Control—Acceptance Sampling (Type A) 45
Problems 48
xi
xii Contents
Chapter 3 Two or More Events 52
3.1 Conditional Probability 52
3.2 Two Stage Systems 57
3.3 Independent Events 62
3.4 Some Experiments Involving Independent Events 69
3.5f Quality Control—Acceptance Sampling 78
3.6t Blocking in a Telephone Network 86
References 94
Problems 94
Chapter 4 Random Variable, Distribution Function, and
Expected Value 99
4.1 Random Variable 99
4.2 Distribution Function 105
4.3 Discrete Random Variable 112
4.4 Continuous Random Variable 116
4.5 Expected Value 129
4.6t Economic Applications of E[h(X)] 137
References 146
Problems 147
Chapter 5 Functions of a Random Variable 157
5.1 Functions of a Random Variable (General) 157
5.2 Moments 164
5.3 Moment Generating Functions 170
5.4 Generating Functions 177
5.5t More on Moments 181
Problems 189
Chapter 6 Two or More Random Variables 196
6.1 General Concepts 196
6.2 Discrete Random Variables 199
6.3 Continuous Random Variables 207
6.4 Functions of Several Variables 211
6.5 Expected Value for Several Random Variables 216
6.6 Generating Functions 225
6.7 Limit Theorems 232
6.8t The Overly Conscientious Worker Phenomenon 247
Reference 251
Problems 251
Contents xiil
PART II
Chapter 7 Statistics 262
7.1 Statistical Inference 262
7.2 Parameter Estimation and Confidence Intervals 264
7.3 Parameter Estimation for Bernoulli Trials 274
7.4 Hypothesis Testing 279
7.5 Method of Least Squares 289
References 298
Problems 298
Chapter 8 Quality Control: Control Charts 306
8.1 Process Control and Control Charts 306
8.2 X Charts 308
8.3 R Charts and a Charts 317
8.4 Control Charts for Attributes: p Charts 328
References 333
Problems 333
Chapter 9 Tolerancing, Error Analysis, and Parameter
Uncertainty 340
9.1 Mass Production and Tolerancing 340
9.2 The Stack of Disks Problem 347
9.3 Linear and Linearized Systems 360
9.4 Linearized Systems by Numerical Integration 368
9.5 Parameter Uncertainty 389
References 392
Problems 392
Chapter 10 Reliability Engineering (K. C. Kapur) 415
10.1 Introduction 415
10.2 Reliability Measures 416
10.3 Failure Rate of Life Characteristic Curve 423
10.4 Classes of Life Distributions 426
10.5 System Reliability Models 436
10.6 Time Dependent System Reliability Models 450
10.7 Probabilistic Approach to Design Using the Concept
of Stress Strength Interference 456
10.8 Reliability Estimation 461
10.9 Availability and Maintainability 470
xlv Contents
References 473
Problems 474
Chapter 11 Random Processes and Congestion 478
11.1 Pure Birth (Death) Processes 478
11.2 Birth and Death Processes 492
11.3 Finite Markov Chains 511
11.4 A Single Server Queueing Model 535
References 547
Problems 547
Chapter 12 Decision Trees 555
12.1 Probability Trees with Expected Values 555
12.2 Decision Trees 574
Reference 584
Problems 584
Appendix 1 Factorial, Gamma Function, and Binomial Theorem 587
Appendix 2 Moments by Taylor Series Expansion 592
Appendix 3 Tables 601
Table A3.1 Poisson Distribution Function 601
Table A3.2 Standardized Normal Distribution Function 603
Table A3.3 Chi Square Distribution Function 604
Table A3.4 Random Numbers 605
Answers to Problems 607
Bibliography 623
Index 627
|
| adam_txt |
Contents
About the Series v
Preface v»
PART I
Chapter 1 Preliminaries of Probability 1
1.1 Introduction 1
1.2 Review of Set Theory 4
1.3 Sample Spaces and Events 12
1.4 Axioms of Probability 18
Problems 23
Chapter 2 Finite Sample Spaces 27
2.1 Elementary Events 27
2.2 Some Rules for Counting 32
2.3 Hypergeometric Distribution 41
2.4f Quality Control—Acceptance Sampling (Type A) 45
Problems 48
xi
xii Contents
Chapter 3 Two or More Events 52
3.1 Conditional Probability 52
3.2 Two Stage Systems 57
3.3 Independent Events 62
3.4 Some Experiments Involving Independent Events 69
3.5f Quality Control—Acceptance Sampling 78
3.6t Blocking in a Telephone Network 86
References 94
Problems 94
Chapter 4 Random Variable, Distribution Function, and
Expected Value 99
4.1 Random Variable 99
4.2 Distribution Function 105
4.3 Discrete Random Variable 112
4.4 Continuous Random Variable 116
4.5 Expected Value 129
4.6t Economic Applications of E[h(X)] 137
References 146
Problems 147
Chapter 5 Functions of a Random Variable 157
5.1 Functions of a Random Variable (General) 157
5.2 Moments 164
5.3 Moment Generating Functions 170
5.4 Generating Functions 177
5.5t More on Moments 181
Problems 189
Chapter 6 Two or More Random Variables 196
6.1 General Concepts 196
6.2 Discrete Random Variables 199
6.3 Continuous Random Variables 207
6.4 Functions of Several Variables 211
6.5 Expected Value for Several Random Variables 216
6.6 Generating Functions 225
6.7 Limit Theorems 232
6.8t The Overly Conscientious Worker Phenomenon 247
Reference 251
Problems 251
Contents xiil
PART II
Chapter 7 Statistics 262
7.1 Statistical Inference 262
7.2 Parameter Estimation and Confidence Intervals 264
7.3 Parameter Estimation for Bernoulli Trials 274
7.4 Hypothesis Testing 279
7.5 Method of Least Squares 289
References 298
Problems 298
Chapter 8 Quality Control: Control Charts 306
8.1 Process Control and Control Charts 306
8.2 X Charts 308
8.3 R Charts and a Charts 317
8.4 Control Charts for Attributes: p Charts 328
References 333
Problems 333
Chapter 9 Tolerancing, Error Analysis, and Parameter
Uncertainty 340
9.1 Mass Production and Tolerancing 340
9.2 The Stack of Disks Problem 347
9.3 Linear and Linearized Systems 360
9.4 Linearized Systems by Numerical Integration 368
9.5 Parameter Uncertainty 389
References 392
Problems 392
Chapter 10 Reliability Engineering (K. C. Kapur) 415
10.1 Introduction 415
10.2 Reliability Measures 416
10.3 Failure Rate of Life Characteristic Curve 423
10.4 Classes of Life Distributions 426
10.5 System Reliability Models 436
10.6 Time Dependent System Reliability Models 450
10.7 Probabilistic Approach to Design Using the Concept
of Stress Strength Interference 456
10.8 Reliability Estimation 461
10.9 Availability and Maintainability 470
xlv Contents
References 473
Problems 474
Chapter 11 Random Processes and Congestion 478
11.1 Pure Birth (Death) Processes 478
11.2 Birth and Death Processes 492
11.3 Finite Markov Chains 511
11.4 A Single Server Queueing Model 535
References 547
Problems 547
Chapter 12 Decision Trees 555
12.1 Probability Trees with Expected Values 555
12.2 Decision Trees 574
Reference 584
Problems 584
Appendix 1 Factorial, Gamma Function, and Binomial Theorem 587
Appendix 2 Moments by Taylor Series Expansion 592
Appendix 3 Tables 601
Table A3.1 Poisson Distribution Function 601
Table A3.2 Standardized Normal Distribution Function 603
Table A3.3 Chi Square Distribution Function 604
Table A3.4 Random Numbers 605
Answers to Problems 607
Bibliography 623
Index 627 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2/02462 |
| dewey-sort | 3519.2 42462 |
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| discipline | Technik Mathematik |
| discipline_str_mv | Technik Mathematik |
| edition | 1. print. |
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| illustrated | Illustrated |
| index_date | 2024-07-02T16:16:40Z |
| indexdate | 2024-07-09T20:51:03Z |
| institution | BVB |
| isbn | 0824786564 |
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| series2 | Quality and reliability |
| spelling | Evans, David H. Verfasser aut Probability and its applications for engineers David H. Evans 1. print. New York Dekker [u.a.] 1992 XIV, 634 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quality and reliability 35 Mathématiques de l'ingénieur ram Mathématiques pour l'ingénieur ram Probabilités ram Waarschijnlijkheidstheorie gtt Engineering mathematics Probabilities Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Qualitätskontrolle (DE-588)4047968-7 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Qualitätskontrolle (DE-588)4047968-7 s DE-604 Statistik (DE-588)4056995-0 s Zuverlässigkeit (DE-588)4059245-5 s Stochastik (DE-588)4121729-9 s Entscheidungstheorie (DE-588)4138606-1 s Ingenieurwissenschaften (DE-588)4137304-2 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Quality and reliability 35 (DE-604)BV002814761 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015344264&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Evans, David H. Probability and its applications for engineers Quality and reliability Mathématiques de l'ingénieur ram Mathématiques pour l'ingénieur ram Probabilités ram Waarschijnlijkheidstheorie gtt Engineering mathematics Probabilities Entscheidungstheorie (DE-588)4138606-1 gnd Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Qualitätskontrolle (DE-588)4047968-7 gnd Stochastik (DE-588)4121729-9 gnd Zuverlässigkeit (DE-588)4059245-5 gnd |
| subject_GND | (DE-588)4138606-1 (DE-588)4056995-0 (DE-588)4064324-4 (DE-588)4137304-2 (DE-588)4047968-7 (DE-588)4121729-9 (DE-588)4059245-5 (DE-588)4143389-0 |
| title | Probability and its applications for engineers |
| title_auth | Probability and its applications for engineers |
| title_exact_search | Probability and its applications for engineers |
| title_exact_search_txtP | Probability and its applications for engineers |
| title_full | Probability and its applications for engineers David H. Evans |
| title_fullStr | Probability and its applications for engineers David H. Evans |
| title_full_unstemmed | Probability and its applications for engineers David H. Evans |
| title_short | Probability and its applications for engineers |
| title_sort | probability and its applications for engineers |
| topic | Mathématiques de l'ingénieur ram Mathématiques pour l'ingénieur ram Probabilités ram Waarschijnlijkheidstheorie gtt Engineering mathematics Probabilities Entscheidungstheorie (DE-588)4138606-1 gnd Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Qualitätskontrolle (DE-588)4047968-7 gnd Stochastik (DE-588)4121729-9 gnd Zuverlässigkeit (DE-588)4059245-5 gnd |
| topic_facet | Mathématiques de l'ingénieur Mathématiques pour l'ingénieur Probabilités Waarschijnlijkheidstheorie Engineering mathematics Probabilities Entscheidungstheorie Statistik Wahrscheinlichkeitsrechnung Ingenieurwissenschaften Qualitätskontrolle Stochastik Zuverlässigkeit Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015344264&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002814761 |
| work_keys_str_mv | AT evansdavidh probabilityanditsapplicationsforengineers |