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This paper studies the spatial autoregressive (SAR) model for cross sectional data when the true spatial e¤ect parameter is near unity. We decompose the data generating process into an unstable compon...
Kernel estimation of a probability density function supported on the unit interval has proved difficult, because of the well known boundary bias issues a conventional kernel density estimator would ne...
To distinguish between purely fractionally integrated (FI) processes, we propose in this article an appropriate fractional Dickey-Fuller test (F-DF). This extends the familiar Dickey-Fuller (1979) typ...
Spatial autoregressive model $X_{k,\ell}=\alpha X_{k-1,\ell}+\beta X_{k,\ell-1}+\gamma X_{k-1,\ell-1}+\epsilon_{k,\ell}$ is investigated in the unit root case, that is when the parameters are on the b...
Spatial autoregressive model $X_{k,\ell}=\alpha X_{k-1,\ell}+\beta X_{k,\ell-1}+\gamma X_{k-1,\ell-1}+\epsilon_{k,\ell}$ is investigated in the unit root case, that is when the parameters are on the b...
When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or ...
This paper considers maximum likelihood estimation (MLE) for MA(1) processes when the moving average parameter is on or near the unit circle. The asymptotic theory to be presented allows the use of...
We study the heat diffusion in a domain with an obstacle inside. More precisely, we are interested in the quantity of heat in so far as a function of the position of the heat source at time 0. This ...
Let D, be the diameter of a partition of the interval [0, t] by renewal moments of a standard Poisson process. Then DJln t + 1 for t + co, in probability. Other theorems on diameters are obtained. J...
Testing of Unit and Fractional Roots in the Context of Deterministic Trends with Weakly Autocorrelated Disturbances。
Jiang, Dickey, and Kuo [12] gave the multivariate c-characteristic function and showed that it has properties similar to those of the multivariate Fourier transformation. We first give the multivariat...
This paper deals with nonstationary autoregressive (AR) models with complex roots on the unit circle. We examine the asymptotic properties of the least squares estimators (LSEs) in the model. We also ...
This paper deals with nonstationary autoregressive (AR) models with complex roots on the unit circle. We examine the asymptotic properties of the least squares estimators (LSEs) in the model. We also ...
Some limit properties for information based model selection criteria are given in the context of unit root evaluation and various assumptions about initial conditions. Allowing for a nonparametric sho...
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wi...

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