Probability, statistics, and queueing theory: with computer science applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Acad. Press
1990
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Computer science and scientific computing
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XXI, 740 S. graph.Darst. |
| ISBN: | 0120510510 |
Internformat
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| 100 | 1 | |a Allen, Arnold O. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Probability, statistics, and queueing theory |b with computer science applications |c Arnold O. Allen |
| 250 | |a 2. ed. | ||
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Datensatz im Suchindex
| _version_ | 1804118569041002496 |
|---|---|
| adam_text | Table of Contents
Preface xi
Acknowledgments xix
Chapter 1 Introduction 1
PART ONE PROBABILITY
Preface to Part One: Probability 7
Chapter 2 Probability and Random Variables 9
2.0 Introduction 9
2.1 Sample Spaces and Events 10
2.2 Probability Measures 15
2.3 Combinatorial Analysis 20
2.4 Conditional Probability 24
2.5 Random Variables 34
2.6 Parameters of Random Variables 40
2.7 Jointly Distributed Random Variables 46
2.8 Conditional Expectation 60
2.9 Transform Methods 67
2.10 Inequalities 76
2.11 Exercises 86
References 106
Chapter 3 Probability Distributions 109
3.0 Introduction 109
3.1 Discrete Random Variables 110
vii
viii CONTENTS
3.2 Continuous Random Variables 121
3.3 Central Limit Theorem 158
3.4 Applied Transforms 164
3.5 Summary 177
3.6 Exercises 179
References 196
Chapter 4 Stochastic Processes 199
4.0 Introduction 199
4.1 Definitions 200
4.2 The Poisson Process 204
4.3 Birth and Death Process 209
4.4 Markov Chains 219
4.5 Renewal Theory 234
4.6 Exercises 238
References 240
PART TWO QUEUEING THEORY
Preface to Part Two: Queueing Theory 245
Chapter 5 Queueing Theory 247
5.0 Introduction 247
5.1 Describing a Queueing System 251
5.2 Birth and Death Process Models 261
5.3 Embedded Markov Chain Systems 301
5.4 Priority Queueing Systems 324
5.5 Bounds And Approximations 336
5.6 Summary 342
5.7 Exercises 342
References 370
Chapter 6 Queueing Models of Computer Systems 377
6.0 Introduction 377
6.1 Finite Population Models 381
6.2 Jackson Networks 386
6.3 BCMP Queueing Networks 400
6.4 Summary 417
6.5 Exercises 417
I
CONTENTS ix
References 420
PART THREE STATISTICAL INFERENCE
Preface to Part Three: Statistical Inference 425
I
Chapter 7 Estimation and Data Analysis 429
7.0 Introduction 429
7.1 Estimators 431
7.2 Confidence Intervals 442
7.3 Exploratory Data Analysis 450
7.4 Exercises 477
! References 480
Chapter 8 Hypothesis Testing 483
8.0 Introduction 483
8.1 Hypothesis Test Procedure 484
8.2 Tests of Means 489
8.3 Tests of Variances 501
8.4 Bernoulli Tests 506
8.5 Chi Square Tests 515
8.6 EDF Tests 524
8.7 Analysis of Variance 534
8.8 Nonparametric Tests 539
8.9 Summary Table 546
8.10 Exercises 548
References 551
Chapter 9 Regression and Correlation Analysis 555
9.0 Introduction 555
9.1 Simple Linear Regression 557
9.2 Nonlinear Regression 584
9.3 Multiple Linear Regression 588
9.4 Exercises 610
x CONTENTS
References 616
Appendix A Statistical Tables 619
Appendix B APL Programs 639
Appendix C Queueing Theory Formulas 665
Appendix D Mathematica Programs 715
Appendix E Answers to Exercises 721
Index 731
|
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| isbn | 0120510510 |
| language | English |
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| spelling | Allen, Arnold O. Verfasser aut Probability, statistics, and queueing theory with computer science applications Arnold O. Allen 2. ed. Boston u.a. Acad. Press 1990 XXI, 740 S. graph.Darst. txt rdacontent n rdamedia nc rdacarrier Computer science and scientific computing Literaturangaben Files d'attente, Théorie des Files d'attente, théorie des ram Mathématiques - Informatique Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Queuing theory Warteschlange (DE-588)4189150-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Warteschlangentheorie (DE-588)4255044-0 s Warteschlange (DE-588)4189150-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002725132&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Allen, Arnold O. Probability, statistics, and queueing theory with computer science applications Files d'attente, Théorie des Files d'attente, théorie des ram Mathématiques - Informatique Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Queuing theory Warteschlange (DE-588)4189150-8 gnd Statistik (DE-588)4056995-0 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4189150-8 (DE-588)4056995-0 (DE-588)4255044-0 (DE-588)4064324-4 |
| title | Probability, statistics, and queueing theory with computer science applications |
| title_auth | Probability, statistics, and queueing theory with computer science applications |
| title_exact_search | Probability, statistics, and queueing theory with computer science applications |
| title_full | Probability, statistics, and queueing theory with computer science applications Arnold O. Allen |
| title_fullStr | Probability, statistics, and queueing theory with computer science applications Arnold O. Allen |
| title_full_unstemmed | Probability, statistics, and queueing theory with computer science applications Arnold O. Allen |
| title_short | Probability, statistics, and queueing theory |
| title_sort | probability statistics and queueing theory with computer science applications |
| title_sub | with computer science applications |
| topic | Files d'attente, Théorie des Files d'attente, théorie des ram Mathématiques - Informatique Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Queuing theory Warteschlange (DE-588)4189150-8 gnd Statistik (DE-588)4056995-0 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Files d'attente, Théorie des Files d'attente, théorie des Mathématiques - Informatique Probabilités Statistique mathématique Mathematical statistics Probabilities Queuing theory Warteschlange Statistik Warteschlangentheorie Wahrscheinlichkeitsrechnung |
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