Probability distributions and statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston
Allyn & Bacon
1970
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003946813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XV, 622 S. graph. Darst. |
Staff View
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| 100 | 1 | |a Zehna, Peter W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Probability distributions and statistics |c Peter W. Zehna |
| 264 | 1 | |a Boston |b Allyn & Bacon |c 1970 | |
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| 650 | 4 | |a Distribution (Théorie des probabilités) | |
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| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Probabilities | |
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Record in the Search Index
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| adam_text | Table of Contents
Preface lx
1. Sample Spaces 1
1.1 Experimental Models 1
1.2 Random Experiments 4
1.3 Events 10
2. Probability 19
2.1 Probability Spaces 19
2.2 Probability Theorems 24
2.3 Finite Sample Spaces 29
2.4 Uncountable Sample Spaces 37
2.5 Conditional Probability 42
2.6 Independent Events 48
3. Random Variables 54
3.1 Functions 55
3.2 Random Variables 62
3.3 Distribution Functions 68
3.4 Discrete Random Variables 74
3.5 Continuous Random Variables 79
3.6 Compositions of Random Variables 88
4. Generating Functions 97
4.1 Mathematical Expectation 97
4.2 Moments 102
4.3 Moment Generating Functions 108
4.4 Other Distribution Characteristics 116
5. Distribution Families 122
5.1 Indexing Parameters 123
5.2 Discrete Families 126
vi
TABLE OF CONTENTS yii
5.3 Continuous Families 139
5.4 Normal Family 153
6. Random Vectors 163
6.1 Euclidean Spaces 164
6.2 Random Vectors 175
6.3 Discrete and Continuous Vectors 180
6.4 Conditional Distributions and Independence 193
6.5 Compositions 210
6.6 Joint Moments and Generating Functions 229
7. Multivariate Families 248
7.1 Multinomial Family 249
7.2 Matrices 255
7.3 Multivariate Normal Family 265
8. Sampling and Asymptotic Theory 280
8.1 Samples 280
8.2 Statistics 291
8.3 The / and F Distributions 301
8.4 Order Statistics 310
8.5 Asymptotic Distributions 317
8.6 Approximations 327
9. Estimation 337
9.1 Estimates and Estimators 338
9.2 Estimation Criteria 341
9.3 Method of Moments 349
9.4 Method of Maximum Likelihood 353
9.5 Estimating Functions of Parameters 365
9.6 Interval Estimation 371
10. Decision Theory 384
10.1 Estimation as Decision Making 385
10.2 Utility 388
10.3 Loss Risk and Regret 394
10.4 Decision Theory and Theory of Games 397
10.5 Bayes Decision Rules 402
10.6 Bayes Estimation 410
viii TABLE OF CONTENTS
11. Hypothesis Testing 420
11.1 Decision Theoretic Formulation 421
11.2 Simple Hypotheses 429
11.3 One Sided Hypotheses 437
11.4 Two Sided Alternatives 445
11.5 Two Sample Tests 454
11.6 Other Tests 466
12. Linear Regression 475
12.1 General Linear Hypothesis 477
12.2 Simple Regression Model 482
12.3 Tests of Hypotheses 489
12.4 Prediction 495
12.5 Discrimination 502
12.6 Gauss Markov Theorem 507
13. Multiple Classifications 513
13.1 Partitioning Quadratic Forms 514
13.2 Analysis of Variance 523
13.3 Two way Classifications 536
13.4 Chi square Tests 549
Bibliography 559
Appendix A: Summary of Probability Laws 562
Appendix B: Tables 564
B.I Binomial Distribution 564
B.2 Poisson Distribution 566
B.3 Selected Percentiles for the Chi Square Distribution 567
B.4 Standard Normal Distribution 568
B.5 Selected Percentiles for the f Distribution 569
B.6 Selected Percentiles for the F Distribution 570
Answers to Selected Exercises 573
Index 608
|
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| illustrated | Illustrated |
| indexdate | 2024-12-20T08:45:27Z |
| institution | BVB |
| language | English |
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| physical | XV, 622 S. graph. Darst. |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Allyn & Bacon |
| record_format | marc |
| spellingShingle | Zehna, Peter W. Probability distributions and statistics Distribution (Théorie des probabilités) Probabilités Statistique mathématique Distribution (Probability theory) Mathematical statistics Probabilities Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4064324-4 |
| title | Probability distributions and statistics |
| title_auth | Probability distributions and statistics |
| title_exact_search | Probability distributions and statistics |
| title_full | Probability distributions and statistics Peter W. Zehna |
| title_fullStr | Probability distributions and statistics Peter W. Zehna |
| title_full_unstemmed | Probability distributions and statistics Peter W. Zehna |
| title_short | Probability distributions and statistics |
| title_sort | probability distributions and statistics |
| topic | Distribution (Théorie des probabilités) Probabilités Statistique mathématique Distribution (Probability theory) Mathematical statistics Probabilities Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Distribution (Théorie des probabilités) Probabilités Statistique mathématique Distribution (Probability theory) Mathematical statistics Probabilities Statistik Wahrscheinlichkeitsrechnung |
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