Results 11 to 20 of about 166,779,658 (293)
On the weak law of large numbers for normed weighted sums of I.I.D. random variables [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
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Moderate Laws of Large Numbers via Weak Laws
, 2020 By a $moderate$ $law$ $of$ $large$ $numbers$ we mean any theorem whose conclusion includes the $L^{p}$-vanishment of the sequence of the sample means of some centered random variables with $1 \leq p < +\infty$ given.Given any $1 \leq p < +\infty$ and any $\eps > 0$,we prove a moderate law of large numbers for $L^{p+\eps}$-bounded
Yu-Lin Chou
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Rates of convergence for the Nummelin conditional weak law of large numbers [PDF]
Stochastic Processes and their Applications, 2002 Let \(B\) be a separable Banach space and let \(X_i\) be i.i.d.\ random vectors. Nummelin's conditional weak law of large numbers studies in which situations \[ \lim _{n\to \infty } P( \| S_n/n-a \| 0\), where \(D\subset B\) is an open convex set, \(a\in B\), and \(S_n/n = \sum _{i=1}^n X_i\).
Kuelbs, J., Meda, A.
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Uniform strong law of large numbers [PDF]
, 2021 We prove the strong law of large numbers for random signed measures.
Klesov, O. I. +2 more
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On the number of zero increments of random walks with a barrier [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Continuing the line of research initiated in Iksanov and Möhle (2008) and Negadajlov (2008) we investigate the asymptotic (as $n \to \infty$) behaviour of $V_n$ the number of zero increments before the absorption in a random walk with the barrier $n$. In
Alex Iksanov, Pavlo Negadajlov
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Entropy, 2021 A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to infinity, the law of large numbers is shown to hold in a multi-class context,
Donald A. Dawson +2 more
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Laws of large numbers for ratios of uniform random variables
Open Mathematics, 2015 Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various strong and weak laws of large numbers for the ratio of these two sequences.
Adler André
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Percolation Problems on N-Ary Trees
Mathematics, 2023 Percolation theory is a subject that has been flourishing in recent decades. Because of its simple expression and rich connotation, it is widely used in chemistry, ecology, physics, materials science, infectious diseases, and complex networks.
Tianxiang Ren, Jinwen Wu
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Asymptotic Performance Analysis of Large-Scale Active IRS-Aided Wireless Network
IEEE Open Journal of the Communications Society, 2023 In this paper, the dominant factor affecting the performance of active intelligent reflecting surface (IRS) aided wireless communication networks in Rayleigh fading channel, namely the average signal-to-noise ratio (SNR) $\gamma _{0}$ at IRS, is ...
Yan Wang +8 more
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A Strong Law of Large Numbers for Super-stable Processes. [PDF]
, 2014 Let ℓ be Lebesgue measure and X=(Xt,t≥0;Pμ) be a supercritical, super-stable process corresponding to the operator −(−Δ)α/2u+βu−ηu2 on Rd with constants β,η>0 and α∈(0,2]. Put View the MathML source, which for each smallθ is an a.s. convergent complex-
Kouritzin, Michael, Ren, Y.-X.
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