Results 11 to 20 of about 174,249,668 (304)
On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]
Entropy, 2019 Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj +2 more sources
Convergence rates in the law of large numbers for long-range dependent linear processes [PDF]
Journal of Inequalities and Applications, 2017 Baum and Katz (Trans. Am. Math. Soc. 120:108-123, 1965) obtained convergence rates in the Marcinkiewicz-Zygmund law of large numbers. Their result has already been extended to the short-range dependent linear processes by many authors.
Tao Zhang, Pingyan Chen, Soo Hak Sung
doaj +2 more sources
Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences
Journal of Probability and Statistics, 2021 We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable ...
Stefan Tappe
doaj +2 more sources
BERNOULLI'S LAW OF LARGE NUMBERS [PDF]
ASTIN Bulletin, 2013 AbstractThis year we celebrate the 300th anniversary of Jakob Bernoulli's path-breaking work Ars conjectandi, which appeared in 1713, eight years after his death. In Part IV of his masterpiece, Bernoulli proves the law of large numbers which is one of the fundamental theorems in probability theory, statistics and actuarial science.
Bolthausen, Erwin, Wüthrich, Mario V
core +7 more sources
A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]
Arab Journal of Mathematical SciencesPurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali +2 more
doaj +3 more sources
Uniform strong law of large numbers [PDF]
, 2021 We prove the strong law of large numbers for random signed measures.
Klesov, O. I. +5 more
core +2 more sources
Preparing Students for the Future: Extreme Events and Power Tails
Journal of Statistics and Data Science Education, 2023 We provide tools for identification and exploration of data with very large variability having power law tails. Such data describe extreme features of processes such as fire losses, flood, drought, financial gain/loss, hurricanes, population of cities ...
Marek Arendarczyk +2 more
doaj +1 more source
Gravity models and the Law of Large Numbers [PDF]
Economics Letters, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colin Jareb, Sergey Nigai
openaire +2 more sources
The Annals of Probability, 1981 Suppose $X_n$ is an i.i.d. sequence of random variables with mean $\mu$ and that $t_n$ is a nondecreasing sequence of positive integers such that $t_n \leq n$. Let $S_n = X_1 + \cdots + X_n$. We give conditions under which $\max_{t_n \leq k \leq n} \big|\frac{S_n - S_{n - k}}{k} - \mu \big| \rightarrow 0$ almost surely and we discuss sharpness.
Hanson, D. L., Russo, Ralph P.
openaire +3 more sources
On Strong Law of Large Numbers for Dependent Random Variables
Journal of Inequalities and Applications, 2011 We discuss strong law of large numbers and complete convergence for sums of uniformly bounded negatively associate (NA) random variables (RVs). We extend and generalize some recent results.
Wang Zhongzhi
doaj +2 more sources