Integrated depth for measurable functions and sets
Keywords: primary; 62G20; secondary; 60B12; Consistency; Functional data; Integrated depth; Measurability; Random sets;
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A note on symmetrization procedures for the laws of large numbers
Keywords: 60F15; 60F05; 60B12; 60G50; Weak and strong laws of large numbers; Row sums from an array of rowwise independent B-valued random variables; Symmetrization procedure;
The jamming constant of uniform random graphs
Keywords: primary; 60J25; 05C80; 60B12; Random graph; Configuration model; Parking process; Measure-valued Markov process; Hydrodynamic limit;
Keywords: 60B12; 8A25; 15B48Bochner integral; Compactly supported measure; Power mean; Least squares mean
Keywords: 60B12; 60F17; 60G18Linear process; Long memory; Self-similar process; Functional central limit theorem
On complete moment convergence for CAANA random vectors in Hilbert spaces
Keywords: 60F15; 60B12; Complete moment convergence; Coordinatewise asymptotically almost negatively associated random vectors; Hilbert spaces;
An extension of Feller's strong law of large numbers
Keywords: 60F15; 60B12; 60G50; Feller's strong law of large numbers; Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers; Rademacher type p
Banach space; Sums of independent random variables;
Asymptotic properties of a component-wise ARH(1) plug-in predictor
Keywords: 11C20; 11H55; 11M50; 15A24; 15A63; 15A69; 34L05; 60B12; 60G10; 60G15; 60G25; 60H25; 62M10; 62M15; 62M20; ARH(1) processes; Consistency; Functional prediction; Mean absolute and quadratic convergence;
A Glivenko-Cantelli theorem for almost additive functions on lattices
Keywords: 60F99; 60B12; 62E20; 60K35; Glivenko-Cantelli theory; Uniform convergence; Empirical measures; Large deviations; Statistical mechanics;
A note on a result by W. Hoeffding
Keywords: 60B12; 60G55; 60G57; Empirical distribution; Order statistics; Distribution of the expected values of the order statistics; Variational series; Quantile transform;
The limit law of the iterated logarithm in Banach space
Keywords: 60B12; 60F15; 60G50Law of the iterated logarithm; Limit law of the iterated logarithm; Banach space
The Brunk-Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space
Keywords: 60B11; 60B12; 60F15; 60F25; 60G42; p-uniformly smooth Banach spaces; Field of martingale differences; Strong law of large numbers;
Mosco convergence of SLLN for triangular arrays of rowwise independent random sets
Keywords: 60F15; 60B12; 28B20; Triangular array; Random set; Strong law of large numbers; Mosco convergence; Banach space of type p;
A law of the single logarithm for weighted sums of arrays applied to bootstrap model selection in regression
Keywords: 60B12; 60F15; 60G50BIC; Linear regression; Variable selection; Rowwise independent; Triangular arrays
Deviation probability bounds for fractional martingales and related remarks
Keywords: 60G22; 60G48; 60B12; Fractional martingales; Exponential inequality; Law of large numbers;
Limiting distributions of high-dimensional multivariate Beta-type distributions
Keywords: primary; 62E20; secondary; 60B12; High-dimensional case; Limiting distribution; MANOVA; Martingale difference; Multivariate Beta distribution; Multivariate linear hypothesis;
A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers
Keywords: 60F15; 60B12; 28B20Law of large numbers; Set-valued random variable; Adapted array of type pp; Weak adapted array of type pp
Rearrangements of Gaussian fields
Keywords: 60G60; 60B12; 60G57Random fields; Rearrangement; Limit theorems; Random measures
A remark on LSL for weighted sums of i.i.d random elements
Keywords: 60B12; 60F15; Law of the single logarithm; Random element; Weighted sums;
Continuity in the Hurst parameter of the law of the Wiener integral with respect to the fractional Brownian motion
Keywords: 60B12; 60H05; 60G15;
Strong laws of large numbers for random fields in martingale type p Banach spaces
Keywords: 60B11; 60B12; 60F15; 60G42;
Continuity in the Hurst parameter of the law of the symmetric integral with respect to the fractional Brownian motion
Keywords: 60B12; 60J55; 60G15Convergence in law; Fractional Brownian motion; Russo–Vallois symmetric integral
On Cantrell-Rosalsky's strong laws of large numbers
Keywords: 60B12; 60F15; 60B11; 60D05;
A law of the single logarithm for weighted sums of i.i.d. random elements
Keywords: 60B12; 60F15
On the strong law of large numbers and Lp-convergence for double arrays of random elements in p-uniformly smooth Banach spaces
Keywords: 60B11; 60B12; 60F15; 60F25; 60G42;
A class of random deviation theorems and the approach of Laplace transform
Keywords: primary; 60F15; secondary; 60B12;
Departure from normality of increasing-dimension martingales
Keywords: 60F05; 60B12; 62M10Central limit theorem; Banach spaces; Residual autocorrelation; Confidence regions; Approximate models
Asymptotics for argmin processes: Convexity arguments
Keywords: 60B12; 62E20Argmin process; Convexity argument; Parametrized objective function; Regression quantile process; Representation theorem; Threshold regression
Limit theorems for individual-based models in economics and finance
Keywords: 60K35; 60B12; 46N30; 62P50; 91B70Individual-based model; Interacting particle system; Law of large numbers; Central limit theorem; Fluctuation process; Measure-valued process; Finance; Economics
Some limits related to random iterations of a lamplighter group
Keywords: primary 60B15; 60B12; secondary 20E22; 26A18Wreath product; Lamplighter group; Random iteration; Occupation time
On the convergence of the empirical mass function
Keywords: 60F15; 60B12; 62G30;
A note on the complete convergence for arrays of rowwise independent random elements
Keywords: 60B12; 60F15; 60F05
Self-normalized Wittmann's laws of iterated logarithm in Banach space
Keywords: 60F05; 60B12; 60F99; Banach space; Law of iterated logarithm; Rademacher series; Self-normalizer; Symmetric random variables;
Continuity with respect to the Hurst parameter of the laws of the multiple fractional integrals
Keywords: 60B12; 60H05; 60G15Convergence in law; Fractional Brownian motion; Itô-type multiple integral; Stratonovich-type multiple integral
Some laws of the iterated logarithm in Hilbertian autoregressive models
Keywords: 60F15; 60B12; 62H25; 62M99; Laws of the iterated logarithm; Autoregressive Hilbertian processes; Covariance operators; Functional principal component analysis;