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The continued fraction is a very old and classical object. Its period is closely related to the solubility of the Pell equations, and also to the class group of quadratic fields. Last year, Koymans an...
Bivariate extreme-value distributions have been employed in modeling extremes in environmental sciences and risk management. An important issue is to estimate the dependence function such as Pickands ...
Let x1 denote the square of the largest singular value of an n × p matrix X, all of whose entries are independent standard Gaussian varates. Equivalently, x1 is the largest principal component vari...
The lead digit behavior of a large class of arithmetic sequences is de- termined by using results from the theory of uniform distribution mod I. Theory for triangular arrays is developed and appli...
Let G be a compact separable topological group. When does there exist a probability P such that P P = U ,where U is Haarmeasure and P + U? We show that such square roots exist if and only if G is ...
This pa p e r c o nsider s sta tistica l pr o cess c o ntr o l (SP C ) w hen the pr o cess mea sur e ment is multiva r ia te. I n the liter a tur e, mo st existing multiva r ia te SP C pr o cedur es ...
We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell’s equations for deep-subwavelength structures. Using the continuity equation, the method...
We consider a linear feeder connecting multiple distributed loads and generators to the sub-station. Voltage is controlled directly at the sub-station, however, voltage down the line shifts up or down...
We derive a probability distribution, confidence intervals and statistics of the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation chamber, based on ensemble distributions of the ...
We derive the Jeffreys prior for the parameter of the Multivariate Ewens Distribution and study some of its properties. In particular, we show that this prior is proper and has no finite moments. We a...

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