Probability with statistical applications:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Addison-Wesley
1970
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | World student series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 527 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Probability with statistical applications |c Frederick Mosteller ; Robert E. K. Rourke ; George B. Thomas |
| 250 | |a 2. ed. | ||
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Datensatz im Suchindex
| _version_ | 1804118371001696256 |
|---|---|
| adam_text | Contents
Chapter 1 Probability and statistics: the study of variability
1 1 Probability and statistics 1
1 2 Interpretations of probability 2
1 3 Illustrations of probabilistic models 3
1 4 Applications of statistics 5
1 5 The empirical study of variability 7
1 6 Further experiments 16
1 7 A sample space of an experiment 23
1 8 Probabilities in a finite sample space 27
1 9 Do probabilities grow? 31
Chapter 2 Permutations, combinations, and the binomial theorem
2 1 Permutations: the multiplication principle 34
2 2 Formulas for permutations 43
2 3 Combinations 49
2 4 Permutations of things that are not all different 59
2 5 The binomial theorem 67
2 6 The many uses of (?) 74
Chapter 3 Probability: equally likely outcomes
3 1 Events and sets 77
3 2 Mutually exclusive events 79
3 3 Independent events 85
3 4 Conditional probability 89
3 5 Sample spaces with many elements 96
3 6 Random drawings 102
3 7 Random numbers 106
3 8 Use of tables of random digits 107
3 9 Conclusion Ill
Chapter 4 General theory of probability for discrete sample spaces
4 1 Unequally likely outcomes: thumbtack experiments .... 113
4 2 Sample space and probability 116
xiii
xiv Contents
4 3 Independent events 123
4 4 Examples of binomial experiments 130
4 5 Extension of the binomial experiment to n trials 138
4 6 Binomial probability tables 143
4 7 Conditional probability 147
4 8 Using the product rule to assign probabilities in a sample space . 153
4 9 Bayes s Theorem 158
*4 10 Discrete sample spaces that are countably infinite 166
Chapter 5 Numbers determined by experiments: random variables
5 1 Random variables and their probability functions 171
5 2 Mathematical expectation of a random variable: population mean 185
5 3 Mean of a function of a random variable 195
Chapter 6 Variability: measures of spread
6 1 Variability 204
6 2 Average and variance in a sample 219
6 3 Chebyshev s theorem for a probability distribution .... 227
6 4 Chebyshev s theorem for a frequency distribution of measurements 234
Chapter 7 Joint distributions and continuous distributions
7 1 Joint probability function of two random variables .... 237
7 2 Probability graphs for continuous random variables: Probabilities
represented by areas 251
7 3 Cumulative probability graphs 254
7 4 The normal curve and the normal probability distribution . . 259
Chapter 8 Approximating the binomial distribution by the normal:
the central limit theorem
8 1 Properties of the binomial distribution 270
8 2 Tools for studying the limit of the binomial distribution . . . 275
8 3 Areas for binomial distributions tend to areas under the normal as
n grows: the central limit theorem for the binomial . . . .281
Chapter 9 Some statistical applications of probability
9 1 Estimation and the testing of hypotheses 292
9 2 Estimating p, the binomial probability of success 293
9 3 Confidence limits for p with large n 298
9 4 Testing of a binomial statistical hypothesis 302
9 5 Contingency tables; differences of p s 315
9 6 Bayesian approach to estimation 326
9 7 Bayesian inference with personal probabilities 331
Chapter 10 Theory of sampling. Variances of sums and of averages
10 1 Calculation of the distribution of a sum 338
10 2 The variance of the distribution of the sum of two independent
random variables 342
10 3 Variance of the sum and of the average of several variables . . 348
10 4 Dependent random variables: covariance and correlation . . . 359
TfclO 5 Sampling without replacement from a finite population . . . 372
Contents xv
Chapter 11 Least squares, curve fitting, and regression
11 1 Curve fitting 382
11 2 The method of least squares 387
11 3 Fitting a line through the origin 396
*ll 3 Supplement. Alternative ways to fit a line through the origin . 400
11 4 Fitting a general line 403
11 5 Precision of estimation and the correlation coefficient .... 410
11 6 Models for regression 415
Chapter 12 Statistical inference for measured variables
12 1 Similarities to our previous work 429
12 2 Confidence limits on or tests of /x, known x 431
12 3 Confidence limits on or tests of fi, unknown a 434
12 4 Differences between means 442
Projects for high speed computers 449
Appendix 1 Summations and subscripts
Al 1 Subscripts and the summation symbol, 2 457
Al 2 Theorems about summations 461
Appendix 2 A theorem on independence 465
Tables
Table I A 1000 random digits 471
Table I B 200 random normal deviates, /z = 0, r = 1 471
Table II Values of n! and log n! 472
Table III Normal curve areas 473
Table IV Three place tables of the binomial distribution 474
Table V Probability levels for Student s ^ distribution 492
Table VI Cumulative normal distribution 493
Table VII Inverse of the cumulative normal distribution 493
Chart I Chart for obtaining 95% confidence limits on p 494
Bibliography 497
Answers to even numbered exercises 503
Index 521
|
| any_adam_object | 1 |
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T16:09:14Z |
| institution | BVB |
| language | English |
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| physical | XV, 527 S. |
| publishDate | 1970 |
| publishDateSearch | 1970 |
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| publisher | Addison-Wesley |
| record_format | marc |
| series2 | World student series |
| spelling | Mosteller, Frederick 1916-2006 Verfasser (DE-588)118940627 aut Probability with statistical applications Frederick Mosteller ; Robert E. K. Rourke ; George B. Thomas 2. ed. London u.a. Addison-Wesley 1970 XV, 527 S. txt rdacontent n rdamedia nc rdacarrier World student series Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Rourke, Robert E. K. Verfasser aut Thomas, George Brinton 1914-2006 Verfasser (DE-588)124162924 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593862&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 | Mosteller, Frederick 1916-2006 Rourke, Robert E. K. Thomas, George Brinton 1914-2006 Probability with statistical applications Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4064324-4 (DE-588)4151278-9 |
| title | Probability with statistical applications |
| title_auth | Probability with statistical applications |
| title_exact_search | Probability with statistical applications |
| title_full | Probability with statistical applications Frederick Mosteller ; Robert E. K. Rourke ; George B. Thomas |
| title_fullStr | Probability with statistical applications Frederick Mosteller ; Robert E. K. Rourke ; George B. Thomas |
| title_full_unstemmed | Probability with statistical applications Frederick Mosteller ; Robert E. K. Rourke ; George B. Thomas |
| title_short | Probability with statistical applications |
| title_sort | probability with statistical applications |
| topic | Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Statistik Wahrscheinlichkeitsrechnung Einführung |
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