Convex transformations of random variables:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
Mathematisch Centrum
1970
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
7 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005695609&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Zugl.: Amsterdam, Univ., Diss., 1964 |
| Umfang: | 116 S. |
Internformat
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| 245 | 1 | 0 | |a Convex transformations of random variables |c by W. R. van Zwet |
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| 650 | 4 | |a Stochastic processes | |
| 650 | 4 | |a Transformations (Mathematics) | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0111 2001 B 6000-7 |
|---|---|
| DE-BY-TUM_katkey | 1640420 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020339348 |
| _version_ | 1821933277166960640 |
| adam_text | CONTENTS
Chapter Page
1 INTRODUCTION !
2 MOMENT INEQUALITIES
2.1 Preliminaries 6
2.2 Convex transforms 9
2.3 Antisymmetrical concave convex transforms 17
3 ORDER STATISTICS
3.1 Notation 23
3.2 Large sample properties 25
4 TWO WEAK ORDER RELATIONS FOR DISTRIBUTION FUNCTIONS
4.1 A weak ordering and an equivalence for the class *p 47
4.2 Properties of c ordered pairs of distributions 50
4.3 Examples of c ordering 54
4.3.1 c Comparison with the rectangular distribution 55
4.3.2 c Comparison with F*(x) = and F*(x) = 2Zi 55
X X
4.3.3 c Comparison with the exponential distribution 58
4.3.4 The maximal c chain of gamma distributions 60
4.4 A weak ordering for a class of symmetric distributions 64
4.5 Properties of s ordered pairs of distributions 67
4.6 Examples of s ordering 70
4.6.1 s Comparison with the rectangular distribution 70
4.6.2 The s chain of symmetric beta distributions 71
4.6.3 s Comparison of normal and logistic distributions 72
4.7 Generalization to other distributions 73
5 s COMPARISON WITH SYMMETRIC INVERSE BETA DISTRIBUTIONS
5.1 Symmetric inverse beta distributions 76
5.2 Inequalities for gamma and beta functions 79
5.3 Small sample inequalities 95
5.3.1 CAUCHY s distribution 99
5.3.2 Symmetric beta distributions 1O0
6 APPLICATIONS TO HYPOTHESIS TESTING AND ESTIMATION
6.1 Comparison of normal scores and WILCOXON tests 102
6.2 STUDENT S test under non standard conditions 106
6.3 Efficiency of median and mean 1O9
REFERENCES 113
|
| any_adam_object | 1 |
| author | Zwet, Willem R. van 1934-2020 |
| author_GND | (DE-588)1064666418 |
| author_facet | Zwet, Willem R. van 1934-2020 |
| author_role | aut |
| author_sort | Zwet, Willem R. van 1934-2020 |
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| building | Verbundindex |
| bvnumber | BV008653410 |
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| callnumber-raw | QA276.5 |
| callnumber-search | QA276.5 |
| callnumber-sort | QA 3276.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 318 SK 800 |
| ctrlnum | (OCoLC)30852616 (DE-599)BVBBV008653410 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV008653410 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:24:31Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005695609 |
| oclc_num | 30852616 |
| open_access_boolean | |
| owner | DE-824 DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | 116 S. |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Mathematisch Centrum |
| record_format | marc |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spellingShingle | Zwet, Willem R. van 1934-2020 Convex transformations of random variables Convex domains Stochastic processes Transformations (Mathematics) |
| subject_GND | (DE-588)4113937-9 |
| title | Convex transformations of random variables |
| title_auth | Convex transformations of random variables |
| title_exact_search | Convex transformations of random variables |
| title_full | Convex transformations of random variables by W. R. van Zwet |
| title_fullStr | Convex transformations of random variables by W. R. van Zwet |
| title_full_unstemmed | Convex transformations of random variables by W. R. van Zwet |
| title_short | Convex transformations of random variables |
| title_sort | convex transformations of random variables |
| topic | Convex domains Stochastic processes Transformations (Mathematics) |
| topic_facet | Convex domains Stochastic processes Transformations (Mathematics) Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005695609&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT zwetwillemrvan convextransformationsofrandomvariables |
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Teilbibliothek Mathematik & Informatik, Berichte
| Signatur: |
0111 2001 B 6000-7 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |