![Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables [electronic resource] /](/search/themes/bootstrap3/images/libros.png)
Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables [electronic resource] /
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.
| Main Authors: | , , , |
|---|---|
| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Dordrecht : Springer Netherlands : Imprint: Springer,
2002
|
| Subjects: | Mathematics., Measure theory., Mathematical logic., Probabilities., Statistics., Mathematical Logic and Foundations., Probability Theory and Stochastic Processes., Measure and Integration., Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences., |
| Online Access: | http://dx.doi.org/10.1007/978-94-015-9932-0 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|