weak law of large numbers(WLLNfuzzy random variablerandom fuzzy variablehybrid variablechance measureBased upon previous studies on laws of large numbers for fuzzy,random, fuzzy random and random fuzzy variables, We go further toexplore weak law of large numbers(WLLN) for hybrid variablescomprising ...
A LLN is called a Weak Law of Large Numbers (WLLN) if the sample mean converges in probability. The adjective weak is used because convergence in probability is often called weak convergence. It is employed to make a distinction from Strong Laws of Large Numbers, in which the sample mean ...
Lecture3.WeakLawofLargeNumbers
Urusov, “WLLN for arrays of nonnegative random variables,” Stat. Probab. Lett. 122, 73–78 (2017). MathSciNet MATH Google Scholar C. J. K. Batty, “The strong law of large numbers for states and traces of a W*-algebra,” Z. Wahrsch. Verw. Gebiete 48, 177–191 (1979). ...
The weak law of large numbers for nonnegative summands Khintchine's (necessary and sufficient) slowly varying function condition for the weak law of large numbers (WLLN) for the sum of n nonnegative, independen... E Seneta - 《Advances in Applied Probability》 被引量: 0发表: 2018年 加载...
A sequence of random variables {ξk; k ∈ N} with finite expectations is said to obey weak law of large numbers (WLLN) in the classical (resp. modern) sense ifdoi:10.12988/IMF.2015.5111Yuting Lu
Weak law of large numbersMaximal inequalitiesSlowly varying functions.Asymptotically almost negative associationNegative associationThe Kolmogorov-Feller WLLN is extended to AANA sequences which are strictly weaker than negatively associated sequences by modifying the arguments of Kruglov [12]. The assumption...
As corollary, we obtain the result of Hong and Oh [Hong, D. H., Oh, K. S., 1995. On the weak law of large numbers for arrays. Statist. Probab. Lett. 22, 55–57]. Furthermore, we obtain a WLLN for an L p-mixingale array without the conditions that the mixingale is ...
Journal of Theoretical ProbabilityA. Gut: An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game. J. Theoret. Probab. 17 (2004), 769-779.A. Gut.An Extension of the Kolmogorov–Feller Weak Law of Large Numbers with an Application to...