منابع مشابه
On Strong Uniform Distribution Iv
Let a= (ai)i=1 be a strictly increasing sequence of natural numbers and let be a space of Lebesgue measurable functions defined on [0,1). Let {y} denote the fractional part of the real number y. We say that a is an ∗ sequence if for each f ∈ we set AN ( f ,x) = (1/N) ∑N i=1 f ({aix}) (N = 1,2, . . .), then limN→∞AN ( f ,x) = ∫ 1 0 f (t)dt, almost everywhere with respect to Lebesgue measure. Let...
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We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will c...
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In this paper, a new distribution is introduced, which is a generalization of a well-known distribution. This distribution is flexible and applies to income data modeling. We first provide some of the mathematical and distributional properties of this new model and then, to demonstrate the flexibility the new distribution, we will present the applications of this distribution with ...
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At primary school the first author was taught to estimate the area of a (convex) body by drawing it on a piece of graph paper, and then counting the number of (unit) squares inside. There is obviously a little ambiguity in deciding how to count the squares which straddle the boundary. Whatever the protocol, if the boundary is more-or-less smooth then the number of squares in question is proport...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1990
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-56-3-183-193