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Physical Activity and Perceptions of the Community Walking Environment Among Cancer Survivors, National Health Interview Survey, 2024. [PDF]

open access: yesPrev Chronic Dis
Bryant-Genevier J   +8 more
europepmc   +1 more source
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The Weak Law of Large Numbers for Arrays

Statistics and Probability Letters, 1992
Let \(\{X_{ni},1\leq i\leq k_ n,\;n\geq 1\}\), \(k_ n\to\infty\) as \(n\to\infty\), be an array of random variables and \[ {1\over k_ n}\sum^{k_ n}_{i=1}E| X_{ni}|^ pI\{| X_{ni}|>a\}\to 0\quad\text{as }a\to\infty ...
Allan Gut
exaly   +3 more sources

Weak Laws of Large Numbers for Sequences of Random Variables With Infinite Rth Moments

open access: yesActa Mathematica Hungarica, 2018
Let (Xnn≥ 1) be a sequence of independent random variables with infinite rth absolute moments for some 0 < r< 2. We investigate weak laws of large numbers for the weighted sum Sn=∑j=1mncnjXj, where (cnj1 ≤ j≤ mn, n≥ 1) is an array of real numbers.
Son T.C., Yen N.T.H., Dung L.V.
exaly   +2 more sources

Weak laws of large numbers for cooperative gamblers

Periodica Mathematica Hungarica, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sándor Csörgo, Gordon Simons
openaire   +1 more source

A Generalization of Weak Law of Large Numbers

Stochastic Analysis and Applications, 2011
Kolmogorov's weak law of large numbers for i.i.d. random variables is generalized to a larger class distributions and to a wide class of normalizing sequences. The result is extended to maximal sums of negatively associated identically distributed random variables.
exaly   +2 more sources

A remark on the Kolmogorov–Feller weak law of large numbers

Proceedings - Mathematical Sciences, 2022
Let \(X,X_{1},X_{2},...\) denote i.i.d. random variables and consider the partail sums \(S_{n}=X_{1}+X_{2}+...+X_{n}\). Also consider the mean \(\mu _{n}=EX1(\left\vert X\right\vert \leq n)\). The main result generalizes the Kolmogorov-Feller weak law of large numbers as follows.
openaire   +2 more sources

Weak Laws of Large Numbers for Fuzzy Random Variables

Fuzzy Sets and Systems, 2004
The author presents weak laws of large numbers for sums of convex-compactly uniformly integrable fuzzy random variables taking values in the space of normal and upper-semicontinuous fuzzy sets in \(R^p\) with compact support. The paper is motivated by the work of \textit{R. L.
exaly   +2 more sources

On the weak law of large numbers for arrays

Statistics & Probability Letters, 1995
A weak law of large numbers is proved for an array \(X_{ni}\), \(1 \leq i \leq k_ n\), \(n \geq 1\), \(k_ n \to \infty\), under the assumption that for some \(p \in (0,2)\), \[ \lim_{a \to \infty} {1\over k_ n} \sum^{k_ n}_{i = 1} aP(| X_{ni}| > a) = 0 \text{ uniformly in }n. \] Compare \textit{A. Gut's} result [ibid. 14, No.
Hong, Dug Hun, Oh, Kwang Sik
openaire   +1 more source

Weak Laws of Large Numbers in Geometric Probability

open access: yesAnnals of Applied Probability, 2003
The authors use a coupling argument to establish a general weak law of large numbers for functionals of binomial point processes in \(d\)-dimensional Euclidean space. The limit depends explicitly on the density, possibly non-uniform, of the process. When the point set forms the vertex set of a graph, functionals of interest include total edge length ...
Mathew D Penrose, J E Yukich
exaly   +4 more sources

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