Statistical analysis of heaping and rounding effects:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Hut
2007
|
| Edition: | 1. Aufl. |
| Series: | Statistik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 153 S. graph. Darst. 210 mm x 148 mm, 205 gr. |
| ISBN: | 9783899635089 3899635086 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
1 Preface, Overview, Introduction 9
1.1 Preamble 9
1.2 Introduction Overview 10
2 Classical Rounding Error 17
2.1 Sheppard s Correction 19
2.2 Sheppard s Regularities 21
2.3 Multivariate Moments 22
2.4 Goodness of Sheppard s Correction 24
2.4.1 Simulation of the Normal Distribution 25
2.4.2 Simulation of the Uniform Distribution 26
2.5 The Density Function of the Classical Rounding Error 29
2.C ML Estimation of i a 35
2.7 Influence on Regression Estimates 39
5
6 CONTENTS
3 Generalized Rounding Error 43
3.1 Background 43
3.2 Generalized Sheppard s Correction 56
3.3 Notes on the Generalized Sheppard s Correction 60
3.4 Generalized ML Estimation 68
3.5 Influence on Regression Estimates 71
4 Model of Heaping and Rounding Error 77
4.1 Background 77
4.2 Influence of Heaping Rounding on Data Analysis 81
5 Method of Correction Based on Validation Data 83
5.1 The Method 84
5.2 Comparison of the Mean and the Variance 86
5.3 Correction for the regression parameters 88
5.3.1 Symmetric and Asymmetric Rounding 88
5.3.2 Mixture Model of Rounding Error 95
5.3.3 Model of Heaping and Rounding Error 96
6 Simulation Study 99
6.1 Classical Rounding 99
6.1.1 Normal Distribution 99
CONTENTS 7
6.1.2 Uniform Distribution 103
6.2 Generalized Rounding 107
6.2.1 Normal Distribution 107
6.2.2 Uniform Distribution 116
6.3 Mixture Model of Rounding Error 123
6.4 Model of Heaping and Rounding Error 127
7 Empirical Application of Our Method 133
8 Concluding remarks 139
|
| adam_txt |
Contents
1 Preface, Overview, Introduction 9
1.1 Preamble 9
1.2 Introduction Overview 10
2 Classical Rounding Error 17
2.1 Sheppard's Correction 19
2.2 Sheppard's Regularities 21
2.3 Multivariate Moments 22
2.4 Goodness of Sheppard's Correction 24
2.4.1 Simulation of the Normal Distribution 25
2.4.2 Simulation of the Uniform Distribution 26
2.5 The Density Function of the Classical Rounding Error 29
2.C ML Estimation of \i a 35
2.7 Influence on Regression Estimates 39
5
6 CONTENTS
3 Generalized Rounding Error 43
3.1 Background 43
3.2 Generalized Sheppard's Correction 56
3.3 Notes on the Generalized Sheppard's Correction 60
3.4 Generalized ML Estimation 68
3.5 Influence on Regression Estimates 71
4 Model of Heaping and Rounding Error 77
4.1 Background 77
4.2 Influence of Heaping Rounding on Data Analysis 81
5 Method of Correction Based on Validation Data 83
5.1 The Method 84
5.2 Comparison of the Mean and the Variance 86
5.3 Correction for the regression parameters 88
5.3.1 Symmetric and Asymmetric Rounding 88
5.3.2 Mixture Model of Rounding Error 95
5.3.3 Model of Heaping and Rounding Error 96
6 Simulation Study 99
6.1 Classical Rounding 99
6.1.1 Normal Distribution 99
CONTENTS 7
6.1.2 Uniform Distribution 103
6.2 Generalized Rounding 107
6.2.1 Normal Distribution 107
6.2.2 Uniform Distribution 116
6.3 Mixture Model of Rounding Error 123
6.4 Model of Heaping and Rounding Error 127
7 Empirical Application of Our Method 133
8 Concluding remarks 139 |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| edition | 1. Aufl. |
| format | Thesis Book |
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| index_date | 2024-07-02T17:14:50Z |
| indexdate | 2024-07-09T20:56:35Z |
| institution | BVB |
| isbn | 9783899635089 3899635086 |
| language | English |
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| physical | 153 S. graph. Darst. 210 mm x 148 mm, 205 gr. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Hut |
| record_format | marc |
| series2 | Statistik |
| spelling | Ahmad, Amar Sabri 1970- Verfasser (DE-588)132903687 aut Statistical analysis of heaping and rounding effects by Amar Sabri Ahmad 1. Aufl. München Hut 2007 153 S. graph. Darst. 210 mm x 148 mm, 205 gr. txt rdacontent n rdamedia nc rdacarrier Statistik Zugl.: München, Univ., Diss., 2007 Statistik (DE-588)4056995-0 gnd rswk-swf Messfehler (DE-588)4133270-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Messfehler (DE-588)4133270-2 s Statistik (DE-588)4056995-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015599978&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ahmad, Amar Sabri 1970- Statistical analysis of heaping and rounding effects Statistik (DE-588)4056995-0 gnd Messfehler (DE-588)4133270-2 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4133270-2 (DE-588)4113937-9 |
| title | Statistical analysis of heaping and rounding effects |
| title_auth | Statistical analysis of heaping and rounding effects |
| title_exact_search | Statistical analysis of heaping and rounding effects |
| title_exact_search_txtP | Statistical analysis of heaping and rounding effects |
| title_full | Statistical analysis of heaping and rounding effects by Amar Sabri Ahmad |
| title_fullStr | Statistical analysis of heaping and rounding effects by Amar Sabri Ahmad |
| title_full_unstemmed | Statistical analysis of heaping and rounding effects by Amar Sabri Ahmad |
| title_short | Statistical analysis of heaping and rounding effects |
| title_sort | statistical analysis of heaping and rounding effects |
| topic | Statistik (DE-588)4056995-0 gnd Messfehler (DE-588)4133270-2 gnd |
| topic_facet | Statistik Messfehler Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015599978&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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