Titlebook: Bounding Uncertainty in Civil Engineering; Theoretical Backgrou Alberto Bernardini,Fulvio Tonon Book 2010 Springer-Verlag Berlin Heidelberg

Working-Memory

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侵略者

nocturnal

Review of Theory of Probability and Notation,the book. Particular attention is given to continuous and discrete random variables and to the concept of expectation of a random variable, defined through both Lebesque and Stieltjes integrals. The theory is extended to joint probability spaces and random vectors.

Subdue

Inclusion and Mapping of Random Sets/Relations,constructed by including given random sets or relations into random sets and relations that are easier to deal with from a computational viewpoint: these approximations yield validated outer bounds on the probability of events. Finally, mappings of random sets are investigated along with the monotonicity of inclusions.

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Review of Theory of Probability and Notation,the book. Particular attention is given to continuous and discrete random variables and to the concept of expectation of a random variable, defined through both Lebesque and Stieltjes integrals. The theory is extended to joint probability spaces and random vectors.

Commemorate

Random Sets and Imprecise Probabilities,ematical structure. A formal definition is then given, followed by different ways to describe the same information..A random set gives upper and lower bounds on the probability of subsets in a space of events. These non-additive and monotone (with respect to inclusion) set functions can be described

Wordlist

Random Relations,om sets on several different spaces, Si, or by means of a random relation on the Cartesian product .?=?×.. The multifold concept of independence is firstly introduced within the general framework of imprecise probabilities, and then specialized to random relations. A definition for correlation betwe

observatory

膽小懦夫

Approximate Reasoning, a problem of mathematics, but of judgment. As a consequence, random set theory too does not provide any prescriptive method for combining two random sets. In Section 6.1, some possible ways of combining or updating information on the same space are reviewed, distinguishing between models that stres