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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...
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。

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