Introduction to probability theory and statistical inference:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Wiley
1982
|
| Edition: | 3. ed. |
| Series: | Wiley series in probability and mathematical statistics.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 637 S. graph. Darst. |
| ISBN: | 0471059099 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to probability theory and statistical inference |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a New York u.a. |b Wiley |c 1982 | |
| 300 | |a XI, 637 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804117361180016640 |
|---|---|
| adam_text | Contents
1 Set Theory 1
1.1 Set Notation, Equality and Subsets 1
1.2 Set Operations 6
1.3 Functions 12
1.4 Summary 18
2 Probability 19
2.1 Sample Space; Events 21
2.2 Probability Axioms 28
2.3 Finite Sample Spaces 33
2.4 Counting Techniques 39
2.5 Some Particular Probability Problems 51
2.6 Conditional Probability 59
2.7 Independent Events 70
2.8 Discrete and Continuous Sample Spaces 78
2.9 Summary 90
3 Random Variables and Distribution Functions 92
3.1 Random Variables 92
3.2 Distribution Functions and Density Functions 100
3.3 Expected Values and Summary Measures 116
3.4 Moments and Generating functions 129
3.5 Functions of a Random Variable 139
3.6 Summary 153
4 Some Standard probability laws 155
4.1 The Bernoulli and Binomial Probability Laws 155
ix
4.2 Geometric and Negative Binomial Probability Laws 166
4.3 Sampling and the Hypergeometric Probability Law 175
4.4 The Poisson Probability Law 183
4.5 The Uniform, Exponential and Gamma Probability Laws 192
4.6 The Beta and Normal Probability Laws 203
4.7 Summary 220
5 Jointly Distributed Random Variables 222
5.1 Vector Random Variables 223
5.2 Conditional Distributions and Independence 236
5.3 Expected Values and Moments 250
5.4 Sums of Random Variables 264
5.5 The Chebyshev Inequality and the Law of Large Numbers 277
5.6 The Central Limit Theorem and Probability Law
Approximations 286
5.7 Some Special Distributions 303
5.8 Summary 323
6 Descriptive and Inferential Statistics 327
6.1 Descriptive Statistics 327
6.2 Inferential Statistics 342
6.3 Summary 358
/ Estimation of Parameters 359
7.1 Estimation by Method of Moments and by Maximum
Likelihood 360
7.2 Properties of Estimators 371
7.3 Confidence Intervals 382
7.4 Two Sample Procedures 398
7.5 Summary 409
8 Tests of Hypotheses 411
8.1 Simple Hypotheses 413
x
8.2 Composite Hypotheses 429
8.3 Some Two Sample Tests 444
8.4 Summary 461
C7 Least Squares and Regression 453
9.1 Least Squares Estimation 453
9.2 Interval Estimation and Tests of Hypotheses 481
9.3 The Analysis of Variance 492
9.4 Summary 506
1 O Nonparametric Methods 508
10.1 Inferences about Quantiles 509
10.2 The Run Test and the Wilcoxon Mann Whitney Test 518
10.3 Chi Square Goodness of Fit Tests 527
10.4 Contingency Tables 541
10.5 Summary 551
I 1 Bayesian Methods 552
11.1 Prior and Posterior Distributions 553
11.2 Bayesian Estimators 561
11.3 Bayesian Intervals 569
11.4 Summary 577
Appendix 579
Table 1 Standard Normal Distribution Function 580
Table 2 Chi Square Quantiles 582
Table 3 T Distribution Quantiles 584
Table 4 F Distribution Quantiles 585
Answers to Exercises 591
Index 629
xi
|
| any_adam_object | 1 |
| author | Larson, Harold J. |
| author_facet | Larson, Harold J. |
| author_role | aut |
| author_sort | Larson, Harold J. |
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| ctrlnum | (OCoLC)7946906 (DE-599)BVBBV003071971 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV003071971 |
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| indexdate | 2024-07-09T15:53:11Z |
| institution | BVB |
| isbn | 0471059099 |
| language | English |
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| publisher | Wiley |
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| series2 | Wiley series in probability and mathematical statistics. |
| spelling | Larson, Harold J. Verfasser aut Introduction to probability theory and statistical inference 3. ed. New York u.a. Wiley 1982 XI, 637 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and mathematical statistics. Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Statistik (DE-588)4056995-0 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Inferenzstatistik (DE-588)4247120-5 s DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Statistische Schlussweise (DE-588)4182963-3 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Statistik (DE-588)4056995-0 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001925861&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 | Larson, Harold J. Introduction to probability theory and statistical inference Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Statistik (DE-588)4056995-0 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Inferenzstatistik (DE-588)4247120-5 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
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| title | Introduction to probability theory and statistical inference |
| title_auth | Introduction to probability theory and statistical inference |
| title_exact_search | Introduction to probability theory and statistical inference |
| title_full | Introduction to probability theory and statistical inference |
| title_fullStr | Introduction to probability theory and statistical inference |
| title_full_unstemmed | Introduction to probability theory and statistical inference |
| title_short | Introduction to probability theory and statistical inference |
| title_sort | introduction to probability theory and statistical inference |
| topic | Probabilités Probabilités ram Statistique mathématique Statistique mathématique ram Mathematical statistics Probabilities Statistik (DE-588)4056995-0 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Inferenzstatistik (DE-588)4247120-5 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Probabilités Statistique mathématique Mathematical statistics Probabilities Statistik Statistische Schlussweise Wahrscheinlichkeitsrechnung Inferenzstatistik Wahrscheinlichkeitstheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001925861&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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