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A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space

Advances in Fuzzy Systems, 2020
The main purpose of this paper is to consider the strong law of large numbers for random sets in fuzzy metric space. Since many years ago, limited theorems have been expressed and proved for fuzzy random variables, but despite the uncertainty in fuzzy ...
R. Ghasemi, A. Nezakati, M. R. Rabiei
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Toward a deeper understanding of a basic cascade

Research in Statistics
The study of turbulence and chaos has led to crucial new concepts. In particular, B. Mandelbrot introduced and promoted (multi-)fractals. More recently, cascades have gained momentum. Not least due to technical difficulties, continuous stochastic models,
U. Saint-Mont
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A note on the strong law of large numbers for associated sequences

International Journal of Mathematics and Mathematical Sciences, 2005
We prove that the sequence {bn−1∑i=1n(Xi−EXi)}n≥1 converges a.e. to zero if {Xn,n≥1} is anassociated sequence of random variables with ∑n=1∞bkn−2Var(∑i=kn−1+1knXi)
A. Nezakati
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Complete convergence of randomly weighted END sequences and its application

Journal of Inequalities and Applications, 2017
We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
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Hard and Soft Adjusting of a Parameter With Its Known Boundaries by the Value Based on the Experts’ Estimations Limited to the Parameter

Electrical, Control and Communication Engineering, 2016
Adjustment of an unknown parameter of the multistage expert procedure is considered. The lower and upper boundaries of the parameter are counted to be known.
Romanuke Vadim V.
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On the strong law for arrays and for the bootstrap mean and variance

International Journal of Mathematics and Mathematical Sciences, 1997
Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.
Tien-Chung Hu, R. L. Taylor
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On the weak law of large numbers for normed weighted sums of I.I.D. random variables

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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Limit properties for ratios of order statistics from exponentials

Journal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
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Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity. [PDF]

Appl Math Optim, 2023
Pang G, Pardoux É.
europepmc   +1 more source

The law of large numbers for large stable matchings

Journal of Econometrics
In many empirical studies of a large two-sided matching market (such as in a college admissions problem), the researcher performs statistical inference under the assumption that they observe a random sample from a large matching market. In this paper, we consider a setting in which the researcher observes either all or a nontrivial fraction of outcomes
Schwartz, Jacob, Song, Kyungchul
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