Stochastic deviation from elliptical shape: an applied study
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Göteborg
1974
|
| Series: | Skriftserie / Statistiska Institutionen, Göteborgs Universitet
16 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 63 S. |
Staff View
MARC
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| 245 | 1 | 0 | |a Stochastic deviation from elliptical shape |b an applied study |c Marianne Frisén |
| 264 | 1 | |a Göteborg |c 1974 | |
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| 490 | 1 | |a Skriftserie / Statistiska Institutionen, Göteborgs Universitet |v 16 | |
| 502 | |a Zugl.: Göteborg, Univ., Diss., 1974 | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Ellipse | |
| 650 | 4 | |a Estimation theory | |
| 650 | 4 | |a Stochastic processes | |
| 650 | 4 | |a Visual fields |x Mathematical models | |
| 650 | 0 | 7 | |a Stochastische Ableitung |0 (DE-588)4454867-9 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Chapter Pags
1 INTRODUCTION 5
1.1 Applications 5
1. 2 Plan of the thesis 5
1.3 Stochastic model 6
2 ELLIPTICAL SHAPE IN VISUAL FIELD RESEARCH 7
2.1 Diagnostic value of visual field examinations 7
2.2 Performance of visual field examinations 7
2.3 Stochastic model of the observations of the
visual field 9
2.4 Analysis of visual fields 10
3 ESTIMATION OF PARAMETERS 12
3.1 General methods of estimating parameters of
non linear regressions 12
3.2 General methods of non linear regressions to
construct confidense regions for parameters 14
3.3 Estimates of parameters of an ellipse 15
3.4 Estimate and confidence region of the center
of a circle 16
3.5 Effect of deviation from the model of circular
shape on an estimate of the center 19
3.5.1 Expectation of a 19
3.5.2 Variability of a 21
3.6 Concluding remarks 23
4 METHODS TO ANALYSE THE MODEL OF ELLIP¬
TICAL SHAPE 24
4.1 General methods to analyse a model 24
4.2 Test of whether a model is approximately true 25
4.3 Simulations 26
4.4 Comparison between objective and subjective
judgements 28
Chapter Page
5 A CRITERION OF ELLIPTICAL SHAPE BASED ON
A RATIO 30
5.1 The ratio S in the absence of stochastic
deviation 30
5.2 Stochastic properties of the ratio S 32
5.3 Tests based on the ratio S 35
5.4 Influence of the stochastic component in the de¬
termination of one axis of the ellipse 40
5.5 Concluding remarks 42
6 SIGNIFICANCE TESTS BASED ON SYMMETRY 44
6.1 Characteristics of symmetry 44
6.2 Combinations of tests from different parts of a
curve 45
6.3 Properties of the test of reflection symmetry 48
6.4 Clinical evaluation of the shape of normal
isopters 50
7 CIRCULAR SHAPE 53
8 SUMMARY AND CONCLUDING REMARKS 56
ACKNOWLEDGEMENTS 59
REFERENCES 60
|
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| dewey-full | 519.5/4 519.5/08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-search | 519.5/4 519.5/08 |
| dewey-sort | 3519.5 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| indexdate | 2024-07-09T17:01:53Z |
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| series2 | Skriftserie / Statistiska Institutionen, Göteborgs Universitet |
| spelling | Frisén, Marianne Verfasser aut Stochastic deviation from elliptical shape an applied study Marianne Frisén Göteborg 1974 63 S. txt rdacontent n rdamedia nc rdacarrier Skriftserie / Statistiska Institutionen, Göteborgs Universitet 16 Zugl.: Göteborg, Univ., Diss., 1974 Mathematisches Modell Ellipse Estimation theory Stochastic processes Visual fields Mathematical models Stochastische Ableitung (DE-588)4454867-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Stochastische Ableitung (DE-588)4454867-9 s DE-604 Statistiska Institutionen, Göteborgs Universitet Skriftserie 16 (DE-604)BV000892564 16 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004804792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frisén, Marianne Stochastic deviation from elliptical shape an applied study Mathematisches Modell Ellipse Estimation theory Stochastic processes Visual fields Mathematical models Stochastische Ableitung (DE-588)4454867-9 gnd |
| subject_GND | (DE-588)4454867-9 (DE-588)4113937-9 |
| title | Stochastic deviation from elliptical shape an applied study |
| title_auth | Stochastic deviation from elliptical shape an applied study |
| title_exact_search | Stochastic deviation from elliptical shape an applied study |
| title_full | Stochastic deviation from elliptical shape an applied study Marianne Frisén |
| title_fullStr | Stochastic deviation from elliptical shape an applied study Marianne Frisén |
| title_full_unstemmed | Stochastic deviation from elliptical shape an applied study Marianne Frisén |
| title_short | Stochastic deviation from elliptical shape |
| title_sort | stochastic deviation from elliptical shape an applied study |
| title_sub | an applied study |
| topic | Mathematisches Modell Ellipse Estimation theory Stochastic processes Visual fields Mathematical models Stochastische Ableitung (DE-588)4454867-9 gnd |
| topic_facet | Mathematisches Modell Ellipse Estimation theory Stochastic processes Visual fields Mathematical models Stochastische Ableitung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004804792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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