Contributions to a General Asymptotic Statistical Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1982
|
| Schriftenreihe: | Lecture Notes in Statistics
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The aso theory developed in Chapters 8 - 12 presumes that the tangent cones are linear spaces. In the present chapter we collect a few natural examples where the tangent cone fails to be a linear space. These examples are to remind the reader that an extension of the theory to convex tangent cones is wanted. Since the results are not needed in the rest of the book, we are more generous ab out regularity conditions. The common feature of the examples is the following: Given a preorder (i.e., a reflexive and transitive order relation) on a family of p-measures, and a subfamily i of order equivalent p-measures, the fa mily ~ consists of p-measures comparable with the elements of i. This usually leads to a (convex) tangent cone 1f only p-measures larger (or smaller) than those in i are considered, or to a tangent cone consisting of a convex cone and its reflexion about 0 if both smaller and larger p-measures are allowed. For partial orders (i.e., antisymmetric pre-orders), i reduces to a single p-measure. we do not assume the p-measures in ~ to be pairwise comparable |
| Beschreibung: | 1 Online-Ressource (315p) |
| ISBN: | 9781461257691 9780387907765 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-5769-1 |
Internformat
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| 490 | 1 | |a Lecture Notes in Statistics |v 13 |x 0930-0325 | |
| 500 | |a The aso theory developed in Chapters 8 - 12 presumes that the tangent cones are linear spaces. In the present chapter we collect a few natural examples where the tangent cone fails to be a linear space. These examples are to remind the reader that an extension of the theory to convex tangent cones is wanted. Since the results are not needed in the rest of the book, we are more generous ab out regularity conditions. The common feature of the examples is the following: Given a preorder (i.e., a reflexive and transitive order relation) on a family of p-measures, and a subfamily i of order equivalent p-measures, the fa mily ~ consists of p-measures comparable with the elements of i. This usually leads to a (convex) tangent cone 1f only p-measures larger (or smaller) than those in i are considered, or to a tangent cone consisting of a convex cone and its reflexion about 0 if both smaller and larger p-measures are allowed. For partial orders (i.e., antisymmetric pre-orders), i reduces to a single p-measure. we do not assume the p-measures in ~ to be pairwise comparable | ||
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Datensatz im Suchindex
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| author | Pfanzagl, J. |
| author_facet | Pfanzagl, J. |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.5 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-5769-1 |
| format | Electronic eBook |
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| issn | 0930-0325 |
| language | English |
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| spelling | Pfanzagl, J. Verfasser aut Contributions to a General Asymptotic Statistical Theory by J. Pfanzagl New York, NY Springer New York 1982 1 Online-Ressource (315p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 13 0930-0325 The aso theory developed in Chapters 8 - 12 presumes that the tangent cones are linear spaces. In the present chapter we collect a few natural examples where the tangent cone fails to be a linear space. These examples are to remind the reader that an extension of the theory to convex tangent cones is wanted. Since the results are not needed in the rest of the book, we are more generous ab out regularity conditions. The common feature of the examples is the following: Given a preorder (i.e., a reflexive and transitive order relation) on a family of p-measures, and a subfamily i of order equivalent p-measures, the fa mily ~ consists of p-measures comparable with the elements of i. This usually leads to a (convex) tangent cone 1f only p-measures larger (or smaller) than those in i are considered, or to a tangent cone consisting of a convex cone and its reflexion about 0 if both smaller and larger p-measures are allowed. For partial orders (i.e., antisymmetric pre-orders), i reduces to a single p-measure. we do not assume the p-measures in ~ to be pairwise comparable Statistics Statistics, general Statistik Asymptotische Methode (DE-588)4287476-2 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Asymptotische Statistik (DE-588)4203167-9 gnd rswk-swf Analysis (DE-588)4001865-9 s Asymptotische Methode (DE-588)4287476-2 s 1\p DE-604 Asymptotische Statistik (DE-588)4203167-9 s 2\p DE-604 Lecture Notes in Statistics 13 (DE-604)BV036592911 13 https://doi.org/10.1007/978-1-4612-5769-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pfanzagl, J. Contributions to a General Asymptotic Statistical Theory Lecture Notes in Statistics Statistics Statistics, general Statistik Asymptotische Methode (DE-588)4287476-2 gnd Analysis (DE-588)4001865-9 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| subject_GND | (DE-588)4287476-2 (DE-588)4001865-9 (DE-588)4203167-9 |
| title | Contributions to a General Asymptotic Statistical Theory |
| title_auth | Contributions to a General Asymptotic Statistical Theory |
| title_exact_search | Contributions to a General Asymptotic Statistical Theory |
| title_full | Contributions to a General Asymptotic Statistical Theory by J. Pfanzagl |
| title_fullStr | Contributions to a General Asymptotic Statistical Theory by J. Pfanzagl |
| title_full_unstemmed | Contributions to a General Asymptotic Statistical Theory by J. Pfanzagl |
| title_short | Contributions to a General Asymptotic Statistical Theory |
| title_sort | contributions to a general asymptotic statistical theory |
| topic | Statistics Statistics, general Statistik Asymptotische Methode (DE-588)4287476-2 gnd Analysis (DE-588)4001865-9 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| topic_facet | Statistics Statistics, general Statistik Asymptotische Methode Analysis Asymptotische Statistik |
| url | https://doi.org/10.1007/978-1-4612-5769-1 |
| volume_link | (DE-604)BV036592911 |
| work_keys_str_mv | AT pfanzaglj contributionstoageneralasymptoticstatisticaltheory |