Complete consistency for recursive probability density estimator of widely orthant dependent samples

DOI10.19195/0208-4147.39.1.9zbMath1422.62134OpenAlexW3011605460MaRDI QIDQ5227572

Publication date: 6 August 2019

Published in: Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.19195/0208-4147.39.1.9

zbMATH Keywords

complete consistency widely orthant dependent random variable recursive density estimator complete convergence rate

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Cites Work

Basic renewal theorems for random walks with widely dependent increments
Complete and complete moment convergence for weighted sums of widely orthant dependent random variables
Asymptotic normality of recursive density estimates under some dependence assumptions
Precise large deviations for dependent random variables with heavy tails
Negative association of random variables, with applications
Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models
Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models
On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models
On asymptotic approximation of inverse moments for a class of nonnegative random variables
On the Bahadur representation of sample quantiles for widely orthant dependent sequences
The Recursive Kernel Distribution Function Estimator Based on Negatively and Positively Associated Sequences
A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
Recursive probability density estimation for weakly dependent stationary processes
Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications
On the rate of strong convergence for a recursive probability density estimator of END samples and its applications
Some Concepts of Dependence
Asymptotically optimal discriminant functions for pattern classification
On Estimation of a Probability Density Function and Mode
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