Elements of probability and statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
McGraw-Hill
1974
|
| Edition: | 2. ed. |
| Series: | McGraw-Hill series in probability and statistics.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 450 S. graph. Darst. |
| ISBN: | 0070713413 |
Staff View
MARC
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| 100 | 1 | |a Wolf, Frank L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elements of probability and statistics |c Frank L. Wolf |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York |b McGraw-Hill |c 1974 | |
| 300 | |a XIV, 450 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a McGraw-Hill series in probability and statistics. | |
| 650 | 4 | |a Probabilités | |
| 650 | 4 | |a Statistique mathématique | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Probabilities | |
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Record in the Search Index
| _version_ | 1804119947964579840 |
|---|---|
| adam_text | CONTENTS
Preface ix
To The Student xiii
1 Empirical Frequency Distributions 1
1 1 Summarization of data 1
1 2 Geometric representation of distributions 6
2 Sets and Events 10
2 1 Sets and their complements 10
2 2 Subsets and events 13
2 3 Some useful set functions 15
2 4 Unions and intersections 20
3 Descriptive Statistics 25
3 1 The arithmetic mean 25
3 2 Other averages 30
3 3 Properties of the mean 33
I
Vi CONTENTS
3 4 Measures of dispersion 35
3 5 Properties of the variance 41
3 6 The least square line and the correlation coefficient 47
4 Probability 56
4 1 Mathematical models 56
4 2 Uniform probability distributions and independent events 63
4 3 Dependent events and conditional probabilities 68
*4 4 Permutations 73
*4 5 Combinations 77
5 Discrete Probability Distributions 80
5 / Populations and samples 80
5 2 Binomial distributions 83
5 3 Random digits 90
5 4 Properties of discrete probability distributions 92
5 5 Expected values 97
5 6 Further properties of discrete distributions 102
*5 7 Multinomial distributions 108
*5 8 Sampling from a finite population 112
*5 9 Order statistics 115
**5 10 Geometric distributions and infinite series 117
**5 ll Poisson distributions 122
**5 12 Moment generating functions 126
**5 13 Random variables revisited 132
*5 l 4 The nature of probability 134
6 Applications of Discrete Distributions 137
6 1 Estimation and likelihood functions 137
6 2 Properties of estimators 141
6 3 Tests of hypotheses 146
6 4 Composite hypotheses 154
6 5 More on testing hypotheses 160
6 6 Confidence intervals 167
*6 7 Testing the location of the median 173
*6 8 The run test for randomness 175
*6 9 The sign test for comparison 178
*6 10 Two nonparametric tests for comparison 180
*6 ll Rank correlation tests 184
*6 12 Testing for independence in two by two tables 187
*6 13 Decision Theory—I 193
CONTENTS Vli
*6 14 Decision Theory—II 199
*6 15 Measuring uncertainty—and something else 203
7 Continuous Probability Distributions 210
7 1 Continuous variables 210
7 2 Probability density functions 217
7 3 Properties of continuous probability distributions 227
*7 4 Rectangular distributions 236
**7 5 Improper integrals 242
8 Normal Distributions 247
8 1 Properties of normal distributions 247
8 2 The distribution of a sample mean 257
8 3 Testing the hypothesis n = n0 263
8 4 Estimating n 270
8 5 Testing the hypothesis nx = nY 21A
**8 6 Some derivations 278
9 Chi Square Distributions 282
9 1 Properties of chi square distributions 282
9 2 Testing goodness of fit 289
*9 3 Contingency tables 293
*9 4 Testing the hypothesis a2 = er02 297
*9 5 Estimation of a2 302
10 F Distributions 305
10 1 Properties of F distributions 305
10 2 Analysis of variance 314
*10 3 Analysis of variance, continued 321
*10 4 Testing the hypothesis ax2 = aY2 325
11 Student s Distributions 329
11 1 Properties of Student s distributions 329
11 2 Testing fi = fi0 and estimating n with small samples 334
U 3 Testing fix = fiY with small samples 337
12 Bivariate Distributions 341
*12 1 Marginal and conditional distributions—discrete case 341
*12 2 Marginal and conditional distributions—continuous case 347
*12 3 Bivariate normal distributions 354
I
viii CONTENTS
Appendix
A l Variables and subscripts 361
A 2 Standard notation and significant digits 363
A 3 Square roots 367
A 4 Functions 369
A 5 Inequalities and absolute values 372
A 6 Graphs 375
**A 7 Some basic limits 384
A 8 Some references to applications 389
A 9 Answers to selected exercises 396
Tables
A l Table of square roots 425
A 2 Binomial distributions 431
A 3 Cumulative probabilities for binomial distributions 434
A 4 Random digits 437
A 5 Cumulative normal distribution 441
A 6 Chi square distribution 442
A l Critical values of F with nt and n2 degrees of freedom 443
A 8 Student s t distribution 444
Index 447
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:34:18Z |
| institution | BVB |
| isbn | 0070713413 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003600689 |
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| physical | XIV, 450 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill series in probability and statistics. |
| spelling | Wolf, Frank L. Verfasser aut Elements of probability and statistics Frank L. Wolf 2. ed. New York McGraw-Hill 1974 XIV, 450 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in probability and statistics. Probabilités Statistique mathématique Mathematical statistics Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 Statistik (DE-588)4056995-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003600689&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wolf, Frank L. Elements of probability and statistics Probabilités Statistique mathématique Mathematical statistics Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4056995-0 (DE-588)4151278-9 |
| title | Elements of probability and statistics |
| title_auth | Elements of probability and statistics |
| title_exact_search | Elements of probability and statistics |
| title_full | Elements of probability and statistics Frank L. Wolf |
| title_fullStr | Elements of probability and statistics Frank L. Wolf |
| title_full_unstemmed | Elements of probability and statistics Frank L. Wolf |
| title_short | Elements of probability and statistics |
| title_sort | elements of probability and statistics |
| topic | Probabilités Statistique mathématique Mathematical statistics Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Probabilités Statistique mathématique Mathematical statistics Probabilities Wahrscheinlichkeitsrechnung Statistik Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003600689&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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