Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables:
After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a na...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Ausgabe: | 1st ed. 2002 |
| Schriftenreihe: | Theory and Decision Library B, Mathematical and Statistical Methods
43 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms |
| Beschreibung: | 1 Online-Ressource (XIII, 394 p) |
| ISBN: | 9789401599320 |
| DOI: | 10.1007/978-94-015-9932-0 |
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| spelling | Shoumei Li Verfasser aut Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by Shoumei Li, Y. Ogura, V. Kreinovich 1st ed. 2002 Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIII, 394 p) txt rdacontent c rdamedia cr rdacarrier Theory and Decision Library B, Mathematical and Statistical Methods 43 After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms Mathematical Logic and Foundations Probability Theory and Stochastic Processes Measure and Integration Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Mathematical logic Probabilities Measure theory Statistics Grenzwertsatz (DE-588)4158163-5 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd rswk-swf Grenzwertsatz (DE-588)4158163-5 s Zufallsvariable (DE-588)4129514-6 s Fuzzy-Zufallsvariable (DE-588)4201987-4 s DE-604 Ogura, Y. aut Kreinovich, V. aut Erscheint auch als Druck-Ausgabe 9789048161393 Erscheint auch als Druck-Ausgabe 9781402009181 Erscheint auch als Druck-Ausgabe 9789401599337 https://doi.org/10.1007/978-94-015-9932-0 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Shoumei Li Ogura, Y. Kreinovich, V. Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables Mathematical Logic and Foundations Probability Theory and Stochastic Processes Measure and Integration Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Mathematical logic Probabilities Measure theory Statistics Grenzwertsatz (DE-588)4158163-5 gnd Zufallsvariable (DE-588)4129514-6 gnd Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd |
| subject_GND | (DE-588)4158163-5 (DE-588)4129514-6 (DE-588)4201987-4 |
| title | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables |
| title_auth | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables |
| title_exact_search | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables |
| title_exact_search_txtP | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables |
| title_full | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by Shoumei Li, Y. Ogura, V. Kreinovich |
| title_fullStr | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by Shoumei Li, Y. Ogura, V. Kreinovich |
| title_full_unstemmed | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by Shoumei Li, Y. Ogura, V. Kreinovich |
| title_short | Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables |
| title_sort | limit theorems and applications of set valued and fuzzy set valued random variables |
| topic | Mathematical Logic and Foundations Probability Theory and Stochastic Processes Measure and Integration Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Mathematical logic Probabilities Measure theory Statistics Grenzwertsatz (DE-588)4158163-5 gnd Zufallsvariable (DE-588)4129514-6 gnd Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd |
| topic_facet | Mathematical Logic and Foundations Probability Theory and Stochastic Processes Measure and Integration Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Mathematical logic Probabilities Measure theory Statistics Grenzwertsatz Zufallsvariable Fuzzy-Zufallsvariable |
| url | https://doi.org/10.1007/978-94-015-9932-0 |
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