Associated sequences, demimartingales and nonparametric inference

BLSP Rao - 2011 - books.google.com
This book gives a comprehensive review of results for associated sequences and
demimartingales developed so far, with special emphasis on demimartingales and related …

[图书][B] Limit theorems for associated random fields and related systems

A Bulinski, A Shashkin - 2007 - books.google.com
This volume is devoted to the study of asymptotic properties of wide classes of stochastic
systems arising in mathematical statistics, percolation theory, statistical physics and …

Asymptotic normality of random fields of positively or negatively associated processes

GG Roussas - Journal of Multivariate Analysis, 1994 - Elsevier
Consider a random field of real-valued random variables with finite second moment and
subject to covariance invariance and finite susceptibility. Under the basic assumption of …

[图书][B] Asymptotics for associated random variables

PE Oliveira - 2012 - books.google.com
The book concerns the notion of association in probability and statistics. Association and
some other positive dependence notions were introduced in 1966 and 1967 but received …

Associated sequences and related inference problems

BLSP Rao, I Dewan - Handbook of statistics, 2001 - Elsevier
The concept of association of random variables was introduced by Esary et al.(1967). In
several situations, for example, in reliability and survival analysis, the random variables of …

On the blockwise bootstrap for empirical processes for stationary sequences

M Peligrad - The Annals of Probability, 1998 - projecteuclid.org
In this paper, we study the weak convergence to an appropriate Gaussian process of the
empirical process of the block-based bootstrap estimator proposed by Künsch for stationary …

Kernel-type density and failure rate estimation for associated sequences

I Bagai, BLS Prakasa Rao - Annals of the Institute of Statistical …, 1995 - Springer
Let {X n, n≥ 1} be a strictly stationary sequence of associated random variables defined on
a probability space (Ω, B, P) with probability density function f (x) and failure rate function r …

Kaplan–Meier estimator under association

Z Cai, GG Roussas - Journal of Multivariate Analysis, 1998 - Elsevier
Consider a long term study, where a series of possibly censored failure times is observed.
Suppose the failure times have a common marginal distribution functionF, but they exhibit a …

Exponential inequality for associated random variables

DA Ioannides, GG Roussas - Statistics & Probability Letters, 1999 - Elsevier
Under mild conditions, a Bernstein–Hoeffding-type inequality is established for covariance
invariant positively associated random variables. A condition is given for almost sure …

A general method of density estimation for associated random variables

I Dewan, BLS Prakasa Rao - Journal of Nonparametric Statistics, 1999 - Taylor & Francis
Let {X n; n≥ 1} be a sequence of stationary associated random variables having a common
marginal density function f (x). Let, be a sequence of Borel-measurable functions defined on …