Add to ORKGFor a strictly stationary sequence {Xi} define , where Fn and F are the empirical distribution function (d.f.) and common d.f. pertaining to {Xi}. Sen (1974, Theorem 3.2) established the tail probability inequalities for Dn when {Xn} is [phi]-mixing process. In the present paper, it is proved that Sen's result remains to be true for a class of stro mixing processs also which include [phi]-mixing and the asymptotically uncorrelated processes as special cases. Some applications are given.Kolmogorov--Smirnov statistic strong mixing multidimensional empirical process
In this paper, we establish an inequality of the characteristic functions for strongly mixing random...
This paper shows how the modern machinery for generating abstract empirical central limit theorems c...
It has been shown previously by Nobel and Dembo (Stat. Probab. Lett. 17 (1993) 169) that, if a famil...
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
AbstractIn 1974, Sen proved weak convergence of the empirical processes (in the J1-topology on Dp[0,...
The rate at which dependencies between future and past observations decay in a random process may be...
Given \s{Xi, i [greater-or-equal, slanted] 1\s} as non-stationary strong mixing (n.s.s.m.) sequence ...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
We consider multivariate empirical processes Xn(t):=√n(Fn(t)−F(t)), where Fn is an empirical distrib...
In this paper we develop a general approach for investigating the asymptotic distribution of functio...
AbstractLet {Xn} be a strictly stationary φ-mixing process with Σj=1∞ φ12(j) < ∞. It is shown in the...
Let s{;Xns};, n [greater-or-equal, slanted] 1, be a stationary [alpha]-mixing sequence of real-value...
In this paper, we consider the problem of testing for a change of the marginal density of a strong m...
Limit theorems for some non-degenerate U-statistics are established when the underlying processes sa...
We prove a self normalized central limit theorem for a new mixing class of processes introduced in K...
In this paper, we establish an inequality of the characteristic functions for strongly mixing random...
This paper shows how the modern machinery for generating abstract empirical central limit theorems c...
It has been shown previously by Nobel and Dembo (Stat. Probab. Lett. 17 (1993) 169) that, if a famil...
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
AbstractIn 1974, Sen proved weak convergence of the empirical processes (in the J1-topology on Dp[0,...
The rate at which dependencies between future and past observations decay in a random process may be...
Given \s{Xi, i [greater-or-equal, slanted] 1\s} as non-stationary strong mixing (n.s.s.m.) sequence ...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
We consider multivariate empirical processes Xn(t):=√n(Fn(t)−F(t)), where Fn is an empirical distrib...
In this paper we develop a general approach for investigating the asymptotic distribution of functio...
AbstractLet {Xn} be a strictly stationary φ-mixing process with Σj=1∞ φ12(j) < ∞. It is shown in the...
Let s{;Xns};, n [greater-or-equal, slanted] 1, be a stationary [alpha]-mixing sequence of real-value...
In this paper, we consider the problem of testing for a change of the marginal density of a strong m...
Limit theorems for some non-degenerate U-statistics are established when the underlying processes sa...
We prove a self normalized central limit theorem for a new mixing class of processes introduced in K...
In this paper, we establish an inequality of the characteristic functions for strongly mixing random...
This paper shows how the modern machinery for generating abstract empirical central limit theorems c...
It has been shown previously by Nobel and Dembo (Stat. Probab. Lett. 17 (1993) 169) that, if a famil...