Un “Probabilista neoclassico”: Francesco Paolo Cantelli
نویسندگان
چکیده
منابع مشابه
Borel - Cantelli Lemma 1
The notation and terminology used here have been introduced in the following papers: [17], [3], [4], [8], [13], [1], [2], [5], [15], [14], [21], [9], [12], [11], [16], [6], [20], [19], and [18]. For simplicity, we adopt the following rules: O1 is a non empty set, S1 is a σ-field of subsets of O1, P1 is a probability on S1, A is a sequence of subsets of S1, and n is an element of N. Let D be a s...
متن کاملUniform Glivenko–Cantelli Classes
A class of sets, or functions, is said to be P–Glivenko–Cantelli if the empirical measure Pn converges in some sense to the true measure, P , as n → ∞, uniformly over the class of sets or functions. Thus, the notions of Glivenko–Cantelli, and likewise uniform Glivenko–Cantelli are for the most part qualitative assessments of how “well–behaved” a collection of sets or functions is, in the sense ...
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We show that the P−Glivenko property of classes of functions F1, . . . ,Fk is preserved by a continuous function φ from R to R in the sense that the new class of functions x → φ(f1(x), . . . , fk(x)), fi ∈ Fi, i = 1, . . . , k is again a Glivenko-Cantelli class of functions if it has an integrable envelope. We also prove an analogous result for preservation of the uniform Glivenko-Cantelli prop...
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Paolo Guidetti passed away on December 28, 2007 at age 41, a victim of a brief, devastating bout with lymphoma. His death deprives the fi eld of tryptophan research of one of its brightest and most promising young stars. We also mourn the loss of a unique individual, who not only had an outstanding mind but possessed an exceptional ability to inspire and to foster collaborations and friendships...
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ژورنال
عنوان ژورنال: Historia Mathematica
سال: 1988
ISSN: 0315-0860
DOI: 10.1016/0315-0860(88)90049-3