Strong laws of large numbers for weighted sums of random elements in normed linear spaces
From MaRDI portal
Publication:1822822
DOI10.1155/S0161171289000657zbMath0679.60009OpenAlexW2106435985MaRDI QIDQ1822822
Andrew Rosalsky, Robert Lee Taylor, André Adler
Publication date: 1989
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/46402
strong law of large numbersalmost sure convergencenormed weighted sumsrandom elements in a real separable normed linear space
Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (57)
Strong law of large numbers for weighted sums of random variables and its applications in EV regression models ⋮ Complete moment convergence for randomly weighted sums of extended negatively dependent random variables with application to semiparametric regression models ⋮ Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables ⋮ Characterization of typep Banach spaces by the weak law of large numbers ⋮ Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions ⋮ ON THE STRONG LAW OF LARGE NUMBERS FOR SUMS OF INDEPENDENT BANACH SPACE VALUED RANDOM ELEMENTS ⋮ Complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables ⋮ Some Strong Laws for Normed Weighted Sums of Stochastically Dominated Banach Space Valued Random Elements Irrespective of Their Joint Distributions ⋮ Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables ⋮ Almost sure convergence for weighted sums of extended negatively dependent random variables ⋮ Complete moment convergence of double-indexed randomly weighted sums of mixing sequences ⋮ Some Strong and Weak Limit Theorems for Weighted Sums of i.i.d. Banach Space Valued Random Elements with Slowly Varying Weights ⋮ Equivalent conditions of the complete convergence for weighted sums of NSD random variables ⋮ On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and Its Applications ⋮ The moment of maximum normed sums of randomly weighted pairwise NQD sequences ⋮ Complete convergence of randomly weighted END sequences and its application ⋮ Convergence rates in the law of large numbers for END linear processes with random coefficients ⋮ Strong convergence properties for weighted sums of WNOD random variables and its applications in nonparametric regression models ⋮ Limiting behaviors of linear processes with random coefficients based on m-ANA random variables ⋮ On the Azlarov-Volodin theorem for sums of I.I.D. Random elements in banach spaces ⋮ Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications ⋮ Complete q-th moment convergence for the maximum of partial sums of m-negatively associated random variables and its application to the EV regression model* ⋮ An extension of Feller's strong law of large numbers ⋮ Complete convergence for maximum of weighted sums of WNOD random variables and its application ⋮ Complete moment convergence for moving average process based on m-WOD random variables ⋮ New asymptotic results for generalized Oppenheim expansions ⋮ Optimal moment conditions for complete convergence for maximal normed weighted sums from arrays of rowwise independent random elements in Banach spaces ⋮ Convergence of asymptotically almost negatively associated random variables with random coefficients ⋮ Complete f-moment convergence for arrays of rowwise m-negatively associated random variables and its statistical applications ⋮ Complete convergence for randomly weighted sums of random variables and its application in linear-time-invariant systems ⋮ Complete \(f\)-moment convergence for maximal randomly weighted sums of arrays of rowwise widely orthant dependent random variables and its statistical applications ⋮ Weak convergence for weighted sums of a class of random variables with related statistical applications ⋮ Limit theorems for weighted sums of asymptotically negatively associated random variables under some general conditions ⋮ A general result on complete f -moment convergence with its application to nonparametric regression models ⋮ Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces ⋮ Complete moment convergence for weighted sums of widely orthant-dependent random variables and its application in nonparametric regression models ⋮ Complete f -moment convergence for weighted sums of asymptotically almost negatively associated random variables and its application in semiparametric regression models ⋮ A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces ⋮ Complete Moment Convergence for the Dependent Linear Processes with Application to the State Observers of Linear-Time-Invariant Systems ⋮ On the strong convergence properties for weighted sums of negatively orthant dependent random variables ⋮ Some strong laws of large numbers for blockwise martingale difference sequences in martingale type \(p\) Banach spaces ⋮ Complete moment convergence for the dependent linear processes with random coefficients ⋮ Complete consistency of estimators for regression models based on extended negatively dependent errors ⋮ On the Strong Law of Large Numbers for Weighted Sums of Random Elements in Banach Space ⋮ Complete convergence and complete moment convergence for arrays of rowwise ANA random variables ⋮ On the complete moment convergence of weighted sums of ρ^*-mixing random variables ⋮ Complete \(f\)-moment convergence for Sung's type weighted sums and its application to the EV regression models ⋮ Complete \(f\)-moment convergence for extended negatively dependent random variables ⋮ An improved version of a result of Chandra, Li, and Rosalsky ⋮ Strong limit theorems for random sets and fuzzy random sets with slowly varying weights ⋮ Laws of large numbers with infinite mean ⋮ Unnamed Item ⋮ Complete moment convergence of pairwise NQD random variables ⋮ Complete qth moment convergence of weighted sums for arrays of rowwise negatively associated random variables ⋮ Complete moment convergence for randomly weighted sums of arrays of rowwise \(m_n\)-extended negatively dependent random variables and its applications ⋮ Complete f-moment convergence of moving average process and its application to nonparametric regression models ⋮ The moment of maximum normed randomly weighted sums of martingale differences
This page was built for publication: Strong laws of large numbers for weighted sums of random elements in normed linear spaces
