A Concept of Generalized Order Statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1995
|
| Schriftenreihe: | Teubner Skripten zur Mathematischen Stochastik
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. In addition to these wellknown models, several other models of ordered random variables, known and new ones, are introduced which can be effectively applied, e.g., in reliability theory. The main purpose of this book is to present a concept of generalized order statistics as a unified approach to a variety of models of ordered random variables. Numerous related results on distributional and moment properties of order statistics and record values are found in the literature which are deduced separately. The concept of generalized order statistics, however, enablesa common approach to structural similarities and analogies. Well known results can be subsumed, generalized, and integrated within a general framework. Therefore, the concept of generalized order statistics provides a large class of models with many interesting, important and useful properties for both the description and the analysis of practical problems. Contents: Models of ordered random variables (with applications in reliability theory): order statistics, order statistics with nonintegral sample size, sequential order statistics, record values, krecords, Pfeifer's record model, knrecords from nonidentical distributions, ordering via truncation of distributions, censoring schemes / generalized order statistics / distribution theory of generalized order statistics / moments of generalized order statistics / existence of moments / characterization of distributions by sequences of moments / recurrence relations for moments and characterizations of distributions / inequalities for moments and characterizations of distributions / reliability properties: transmission of aging properties, partial ordering of generalized order statistics |
| Beschreibung: | 1 Online-Ressource (212 S.) |
| ISBN: | 9783663091967 9783519027362 |
| ISSN: | 1615-4193 |
| DOI: | 10.1007/978-3-663-09196-7 |
Internformat
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Datensatz im Suchindex
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Allgemeine Naturwissenschaft |
| doi_str_mv | 10.1007/978-3-663-09196-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:22:07Z |
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| isbn | 9783663091967 9783519027362 |
| issn | 1615-4193 |
| language | German |
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| spelling | Kamps, Udo Verfasser aut A Concept of Generalized Order Statistics von Udo Kamps Wiesbaden Vieweg+Teubner Verlag 1995 1 Online-Ressource (212 S.) txt rdacontent c rdamedia cr rdacarrier Teubner Skripten zur Mathematischen Stochastik 1615-4193 Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. In addition to these wellknown models, several other models of ordered random variables, known and new ones, are introduced which can be effectively applied, e.g., in reliability theory. The main purpose of this book is to present a concept of generalized order statistics as a unified approach to a variety of models of ordered random variables. Numerous related results on distributional and moment properties of order statistics and record values are found in the literature which are deduced separately. The concept of generalized order statistics, however, enablesa common approach to structural similarities and analogies. Well known results can be subsumed, generalized, and integrated within a general framework. Therefore, the concept of generalized order statistics provides a large class of models with many interesting, important and useful properties for both the description and the analysis of practical problems. Contents: Models of ordered random variables (with applications in reliability theory): order statistics, order statistics with nonintegral sample size, sequential order statistics, record values, krecords, Pfeifer's record model, knrecords from nonidentical distributions, ordering via truncation of distributions, censoring schemes / generalized order statistics / distribution theory of generalized order statistics / moments of generalized order statistics / existence of moments / characterization of distributions by sequences of moments / recurrence relations for moments and characterizations of distributions / inequalities for moments and characterizations of distributions / reliability properties: transmission of aging properties, partial ordering of generalized order statistics Engineering Engineering, general Ingenieurwissenschaften Ordnungsstatistik (DE-588)4212486-4 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Ordnungsstatistik (DE-588)4212486-4 s 2\p DE-604 https://doi.org/10.1007/978-3-663-09196-7 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 | Kamps, Udo A Concept of Generalized Order Statistics Engineering Engineering, general Ingenieurwissenschaften Ordnungsstatistik (DE-588)4212486-4 gnd |
| subject_GND | (DE-588)4212486-4 (DE-588)4113937-9 |
| title | A Concept of Generalized Order Statistics |
| title_auth | A Concept of Generalized Order Statistics |
| title_exact_search | A Concept of Generalized Order Statistics |
| title_full | A Concept of Generalized Order Statistics von Udo Kamps |
| title_fullStr | A Concept of Generalized Order Statistics von Udo Kamps |
| title_full_unstemmed | A Concept of Generalized Order Statistics von Udo Kamps |
| title_short | A Concept of Generalized Order Statistics |
| title_sort | a concept of generalized order statistics |
| topic | Engineering Engineering, general Ingenieurwissenschaften Ordnungsstatistik (DE-588)4212486-4 gnd |
| topic_facet | Engineering Engineering, general Ingenieurwissenschaften Ordnungsstatistik Hochschulschrift |
| url | https://doi.org/10.1007/978-3-663-09196-7 |
| work_keys_str_mv | AT kampsudo aconceptofgeneralizedorderstatistics |