Elements of nonparametric statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1967
|
| Series: | The SIAM series in applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 104 S. |
Staff View
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Record in the Search Index
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| adam_text | Contents
1 INTRODUCTION 1
2 SOME NONPARAMETRIC PROBLEMS 3
2.1 One sample problems 3
2.2 Two sample problems 4
2.3 C sample problems 5
2.4 Association and randomness 5
3 SOME BASIC TOOLS AND CONCEPTS 7
3.1 Limit theorems 7
3.2 Consistency 8
3.3 The probability integral transformation. Projections 8
3.4 Order statistics 10
3.5 The empirical distribution function 11
3.6 Ranks 11
4 STATISTICAL METHODS BASED ON EMPIRICAL
DISTRIBUTION FUNCTIONS 14
4.1 Introductory remarks 14
4.2 Statistical uses of the Kolmogorov statistic 15
4.3 The Kolmogorov statistic in the discontinuous case 17
4.4 One sided procedures 18
4.5 The Kolmogorov Smirnov two sample test 21
4.6 Notes and references 22
5 SOME USES OF ORDER STATISTICS 24
5.1 Coverages 24
5.2 Tolerance limits 25
5.3 Confidence intervals for population quantiles 25
5.4 Discrete distributions 26
5.5 Notes and references 27
6 RANK SUMS AND THE TWO SAMPLE PROBLEM 28
6.1 Introductory remarks 28
6.2 Rank comparisons of two sets of observations 28
6.3 The Wilcoxon two sample or rank sum test 31
6.4 Some further remarks about the rank sum test 36
6.5 Notes and references 39
ix
x Contents
7 FURTHER USES OF THE RANK SUM W 41
7.1 Introductory remarks 41
7.2 The two sample problem for randomized blocks 41
7.3 The sign test 43
7.4 A symmetry test 45
7.5 The C sample problem 48
7.6 The problem of M rankings 52
7.7 Notes and references 54
8 CONFIDENCE INTERVALS FOR LOCATION PARAMETERS 56
8.1 Introductory remarks 56
8.2 Confidence intervals for location parameters 57
8.3 The discrete case 59
8.4 Notes and references 60
9 TWO SAMPLE DISPERSION TESTS 62
9.1 Introductory remarks 62
9.2 Rank sum tests for dispersion alternatives 63
9.3 Differences in location 65
9.4 Confidence intervals for a scale parameter 66
9.5 Notes and references 69
10 ASSOCIATION AND THE COEFFICIENT i 70
10.1 Introductory remarks 70
10.2 The coefficient r 71
10.3 An unbiased estimate of t and the statistic S 72
10.4 A test of independence 74
10.5 A confidence interval for t 77
10.6 Modified r 78
10.7 A test against trend 81
10.8 Notes and references 82
11 EFFICIENCY OF NONPARAMETRIC METHODS 84
11.1 Relative efficiency 84
11.2 The efficiency of the Tn test against shift alternatives 87
11.3 Special cases 89
11.4 The one sample case 91
11.5 Some further efficiency results 94
11.6 Notes and references 95
REFERENCES 97
INDEX 101
|
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| indexdate | 2024-07-09T15:50:43Z |
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| language | English |
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| spelling | Noether, Gottfried Emanuel 1915-1991 Verfasser (DE-588)139022848 aut Elements of nonparametric statistics Gottfried E. Noether New York [u.a.] Wiley 1967 X, 104 S. txt rdacontent n rdamedia nc rdacarrier The SIAM series in applied mathematics Statistiek gtt Statistik Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd rswk-swf Nichtparametrische Statistik (DE-588)4226777-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001823219&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Noether, Gottfried Emanuel 1915-1991 Elements of nonparametric statistics Statistiek gtt Statistik Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd |
| subject_GND | (DE-588)4226777-8 |
| title | Elements of nonparametric statistics |
| title_auth | Elements of nonparametric statistics |
| title_exact_search | Elements of nonparametric statistics |
| title_full | Elements of nonparametric statistics Gottfried E. Noether |
| title_fullStr | Elements of nonparametric statistics Gottfried E. Noether |
| title_full_unstemmed | Elements of nonparametric statistics Gottfried E. Noether |
| title_short | Elements of nonparametric statistics |
| title_sort | elements of nonparametric statistics |
| topic | Statistiek gtt Statistik Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd |
| topic_facet | Statistiek Statistik Nonparametric statistics Nichtparametrische Statistik |
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