Summary We consider a non-parametric regression model with long-range dependent innovations, in which the regression function may have a discontinuity at an unknown point. We propose a method to estimate the unknown time of change. The rate of consistency and limit distribution of the...

Abstract In this paper we investigate the asymptotic properties of the test statistics for detecting change-points in the mean of a set of multivariate long-range dependent observations. The limit theorems of weighted test statistics and weighted L p -functionals of tests are developed. The...

Summary In this paper we study the integer-valued autoregressive model, which belongs to the class of thinning models with count data.We mainly focus on the random coefficient integer-valued autoregressive (RCINAR) model and propose a conditional least absolute deviation (CL 1 ) method to...

Purpose – The demand for oil in agricultural production increases continuously with the world oil price soaring, reflecting a rigid growth characteristic, but there are no clear reasons for this. The purpose of this paper is to assess the essential reasons of this issue in theoretical and...

This paper examines the integration and causality of interdependencies among six major East Asian stock exchanges, while also considering their interactions with the USA before and during the 2007–2009 global financial crisis. The data reveal that the global financial crisis has strengthened...

In this paper we investigate the asymptotics of the statistical estimates of the optimal value and the optimal solution in stochastic programming problems, which has long range dependent samples. The asymptotic distribution and the convergence rate of these estimates are studied. Copyright...

In this paper we study the estimation of the spatial long memory parameter for stationary long range dependent random fields using wavelet methods. We first show the relation between the wavelet coefficients of the random fields and its long memory parameter. Based on this relation, we construct...