منابع مشابه
Monotonic Approach to Central Limits
The approach to limits guaranteed by the Central Limit Theorem appears to be monotonic in many cases. A variety of empirical examples are discussed. Proofs are given for some special cases of the binomial, gamma, and Poisson distributions. 1. Monotonicity phenomenon Let F be a distribution with mean μ and standard deviation σ. Let X1, X2, X3, . . . be a sequence of independent random variables ...
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15 صفحه اولA Functional Approach to Non-Monotonic Logic
s Axiom sets and their extensions are viewed as functions from the set of formulas in the language, to a set of four truth-values t,f, s for undefined, and k for contradiction. Such functions form a lattice with 'contains less information' as the partial order and 'combination of several sources of knowledge' as the l.u.b. operation We demonstrate the relevance of this approach by giving concis...
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The present paper deals with strong-monotonic, monotonic and weak-monotonic language learning from positive and negative examples. The three notions of monotonicity re ect di erent formalizations of the requirement that the learner has to produce always better and better generalizations when fed more and more data on the concept to be learnt. We characterize strong-monotonic, monotonic, weak-mo...
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The notion of monotonic independence, introduced by N. Muraki, is considered in a more general frame, similar to the construction of operatorvalued free probability. The paper presents constructions for maps with similar properties to the H and K transforms from the literature, semi inner-product bimodule analogues for the monotone and weakly monotone product of Hilbert spaces, an ad-hoc versio...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05776-2