Results 31 to 40 of about 166,872,446 (336)
On conditions for the strong law of large numbers in general Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
Anna Kuczmaszewska, Dominik Szynal
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Strong laws of large numbers for general random variables in sublinear expectation spaces
Journal of Inequalities and Applications, 2019 In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and Hájek–Rényi maximal inequality both in moment and capacity types in sublinear expectation spaces.
Weihuan Huang, Panyu Wu
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Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem [PDF]
Annales Henri Lebesgue, 2019 We study the number of real roots of a Kostlan (or elliptic) random polynomial of degree d in one variable. More generally, we are interested in the distribution of the counting measure of the set of real roots of such a polynomial.
Michele Ancona, T. Letendre
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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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A remark on the strong law of large numbers [PDF]
Proceedings of the American Mathematical Society, 1976 Let X 1 ,
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Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime [PDF]
Journal of statistical physics, 2018 We establish the strong law of large numbers for Betti numbers of random Čech complexes built on $${\mathbb {R}}^N$$RN-valued binomial point processes and related Poisson point processes in the thermodynamic regime.
Akshay Goel, K. Trinh, K. Tsunoda
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Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
Journal of Inequalities and Applications, 2018 In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random ...
Fuqiang Ma, Jianmin Li, Tiantian Hou
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Mathematics, 2023 In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
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Moment conditions in strong laws of large numbers for multiple sums and random measures [PDF]
, 2017 The validity of the strong law of large numbers for multiple sums Sn of independent identically distributed random variables Zk , k ≤ n, with r-dimensional indices is equivalent to the integrability of |Z|(log+|Z|)r⁻¹, where Z is the generic summand. We
Klesov, Oleg +3 more
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Strong law of large numbers for ρ*-mixing sequences with different distributions
Discrete Dynamics in Nature and Society, 2006 Strong law of large numbers and complete convergence for ρ*-mixing sequences with different distributions are investigated. The results obtained improve the relevant results by Utev and Peligrad (2003).
Guang-Hui Cai
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