Titlebook: Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables; Shoumei Li,Yukio Ogura,Vladik Kreinovich Book 2002 Sp

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壓艙物

門窗的側(cè)柱

Convergence Theorems for Fuzzy Set-Valued Random VariablesIn this Chapter we also focus on the case of the basic space . = ?., although many results can be obtained in the case in which the basic space is a general Banach space, in particular, for a reflexive Banach space or for .* being separable.

COUCH

Applications to ImagingWith this chapter we start describing applications of our set based techniques. Since set theory is the main language of the foundations of mathematics it is natural to expect that set methods can be applied in many application areas — and, as we shall see, symmetry methods related to limit theorems are indeed useful in multiple application areas.

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agnostic

https://doi.org/10.1007/978-94-015-9932-0Martingal; Martingale; Random variable; fuzzy; optimization

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致敬

The Space of Set-Valued Random Variableshroughout this book, assume that (., ║ · ║.)is a Banach space with the dual space .*, 0 denotes the origin of ., . denotes the. one element set {0} and ? is the set of all of real numbers. The open unit ball in . is denoted by .. Also we shall adopt particular notation for certain classes of subsets

Influx

hysterectomy

Convergence Theorems for Set-Valued Martingalesof the theory of martingales in a Banach space. After this work the theory of the set-valued martingale was studied by several authors such as Neveu [157], Daures [54]. However, owing to the limit of the definition of conditional expectation defined by Van Cutsem the study was restricted to the case