Results 221 to 230 of about 188,891 (256)
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2008
Abstract We have already noted some seventeenth- and eighteenth-century discussions of convergence (or the lack of them) in 8.3, and in this Chapter we take up the nineteenth-century continuation of the same story. One of the most powerful tools available to early nineteenth-century mathematicians investigating convergence turned out to ...
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Abstract We have already noted some seventeenth- and eighteenth-century discussions of convergence (or the lack of them) in 8.3, and in this Chapter we take up the nineteenth-century continuation of the same story. One of the most powerful tools available to early nineteenth-century mathematicians investigating convergence turned out to ...
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The Complete Convergence of First Fit Decreasing
SIAM Journal on Computing, 1989Summary: Consider a probability measure \(\mu\) on [0,1] and an independent sequence of random variables \(X_ 1,\cdot \cdot \cdot,X_ n,\cdot \cdot \cdot\) distributed according to \(\mu\). No regularity assumptions are made on \(\mu\). Denote by \(F_ n(X_ 1,\cdot \cdot \cdot,X_ n)\) the number of unit-size bins that are used by First Fit Decreasing to ...
Wansoo T. Rhee, Michel Talagrand
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A supplement to the complete convergence
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Weidong, Lin, Zhengyan
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On complete convergence for arrays
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kruglov, Victor M. +2 more
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Complete convergence and complete moment convergence for widely orthant-dependent random variables
Communications in Statistics - Theory and Methods, 2016In this paper, we first establish the complete convergence for weighted sums of widely orthant-dependent (WOD, in short) random variables by using the Rosenthal type maximal inequality.
Yang Ding +4 more
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Completely Convex Functions and Convergence
SIAM Journal on Mathematical Analysis, 1979A function $f(x)$ is completely convex (c.c.) on $[0,1]$ if $( - 1)^k f^{(2k)} (x) \geqq 0$ for $k \geqq 0$ and all x in $[0,1]$. This paper studies the convergence of the partial sums of the Maclaurin series of the function; in particular, how quickly the partial sums turn into a c.c. function. It is shown that no matter where the series is truncated,
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Complete moment convergence and complete convergence for weighted sums of NSD random variables
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Xin +3 more
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Complete convergence for arrays
Periodica Mathematica Hungarica, 1992Let \(\{(X_{nk}\), \(1\leq k\leq n)\), \(n\geq 1\}\) be an array of rowwise independent random variables. We extend and generalize some recent results due to \textit{T.-C. Hu}, \textit{F. Móricz} and \textit{R. L. Taylor} [Acta Math. Hung. 54, No. 1/2, 153-162 (1989; Zbl 0685.60032)] concerning complete convergence, in the sense of \textit{P. L.
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On the Vision of Complete Fixed-Mobile Convergence
Journal of Lightwave Technology, 2010This paper reviews and outlines the key features of the emerging next-generation fixed passive optical network (NG-PON)-based and fourth-generation (4G) mobile broadband access technologies and how to leverage the advantages of both of these access technologies to build a next-generation hybrid fiber-wireless (FiWi) network.
Ali, M. A. +9 more
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Complete convergence for α-mixing sequences
Statistics & Probability Letters, 1993Let \(X_ n\) be a sequence of \(\alpha\)-mixing random variables with mean zero, uniformly bounded \(r\)-th moments and the mixing coefficient \(\alpha(n)\) and let \(S_ n\) denote the partial sum of the first \(n\) \(X\) variables. It is proved that for any \(\varepsilon>0\), \[ \sum^ \infty_{n=1}n^{p\alpha-2}P\left(\max_{i\leq n}| S_ i|\geq ...
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