Results 21 to 30 of about 2,680 (148)

Strong limit theorems for anisotropic self-similar fields

Modern Stochastics: Theory and Applications, 2014
Our paper starts from presentation and comparison of three definitions for the self-similar field. The interconnection between these definitions has been established.
V. Makogin, Yu. Mishura
doaj   +1 more source

On Another Type of Convergence for Intuitionistic Fuzzy Observables

Mathematics, 2023
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
doaj   +1 more source

Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

Journal of Inequalities and Applications, 2016
In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T,
Weicai Peng, Jie Liu, Yongchao Hou, Peishu Chen, Jueping Bu   +4 more
doaj   +1 more source

Strong Large Deviation and Local Limit Theorems [PDF]

The Annals of Probability, 1986
Let \(\{Y_ n, n \geq 1\}\) be a sequence of random variables which converge weakly to a random variable \(Y\). The pseudodensity function of \(Y_ n\) is defined by \(q_ n(y;b_ n,S)= {b_ n \over \mu(S)}P(b_ n(Y_ n-y) \in S)\), where \(b_ n \to \infty\), \(\mu\) is the Lebesgue measure on \(R\) and \(S\) is a measurable subset of \(R\) such that ...
Chaganty, Narasinga Rao, Sethuraman, Jayaram   +1 more
openaire   +3 more sources

经典组合优化问题的概率极限定理(Probability limit theorems of classical combinatorial optimization problems)

Zhejiang Daxue xuebao. Lixue ban, 2000
A review was given of the principal probability limit theorems of solutions to classical combinatorial optimization problems.The emphasis was on the travelling salesman problems,minimal spanning trees,matching and lengths of the longest increasing ...
SUZhong-gen(苏中根)
doaj   +1 more source

Random walks with sticky barriers

Modern Stochastics: Theory and Applications, 2022
A new class of multidimensional locally perturbed random walks called random walks with sticky barriers is introduced and analyzed. The laws of large numbers and functional limit theorems are proved for hitting times of successive barriers.
Vladyslav Bohun, Alexander Marynych
doaj   +1 more source

Weak and Strong Limit Theorems for Stochastic Processes under Nonadditive Probability

Abstract and Applied Analysis, 2014
This paper extends laws of large numbers under upper probability to sequences of stochastic processes generated by linear interpolation. This extension characterizes the relation between sequences of stochastic processes and subsets of continuous ...
Xiaoyan Chen, Zengjing Chen
doaj   +1 more source

A Strong Limit Theorem for Functions of Continuous Random Variables and an Extension of the Shannon-McMillan Theorem

Journal of Applied Mathematics, 2008
By means of the notion of likelihood ratio, the limit properties of the sequences of arbitrary-dependent continuous random variables are studied, and a kind of strong limit theorems represented by inequalities with random bounds for functions of ...
Gaorong Li, Shuang Chen, Sanying Feng
doaj   +1 more source

A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION [PDF]

Proceedings of the National Academy of Sciences, 1956
* The research for this paper was supported by the United States Air Force under Contract No. AF18(600-685) monitored by the Office of Scientific Research. 1 A discussion of the problem along with the necessary references will be found in Harry Pollard, "The Harmonic Analysis of Bounded Functions," Duke Math. / . , 20, 499-512, 1953. 2 See ibid.
openaire   +3 more sources

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
doaj   +1 more source