Two-stage allocations and the double -function.
Agievich, Sergey (2003)
The Electronic Journal of Combinatorics [electronic only]
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Agievich, Sergey (2003)
The Electronic Journal of Combinatorics [electronic only]
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Vincent Monsan (1994)
Applicationes Mathematicae
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We study estimation problems for periodically correlated, non gaussian processes. We estimate the correlation functions and the spectral densities from continuous-time samples. From a random time sample, we construct three types of estimators for the spectral densities and we prove their consistency.
Holger Kösters (2010)
Open Mathematics
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We consider the sample covariance matrices of large data matrices which have i.i.d. complex matrix entries and which are non-square in the sense that the difference between the number of rows and the number of columns tends to infinity. We show that the second-order correlation function of the characteristic polynomial of the sample covariance matrix is asymptotically given by the sine kernel in the bulk of the spectrum and by the Airy kernel at the edge of the spectrum. Similar results...
Bender, Edward A., Richmond, L.Bruce (1996)
The Electronic Journal of Combinatorics [electronic only]
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Vito Lampret (2012)
Open Mathematics
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An asymptotic approximation of Wallis’ sequence W(n) = Πk=1n 4k 2/(4k 2 − 1) obtained on the base of Stirling’s factorial formula is presented. As a consequence, several accurate new estimates of Wallis’ ratios w(n) = Πk=1n(2k−1)/(2k) are given. Also, an asymptotic approximation of π in terms of Wallis’ sequence W(n) is obtained, together with several double inequalities such as, for example, with .
Brasseur, Clara E., Grady, Ryan E., Prassidis, Stratos (2009)
The Electronic Journal of Combinatorics [electronic only]
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Vladimir Varlamov (1999)
Colloquium Mathematicae
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For the nonlinear heat equation with a fractional Laplacian , 1 < α ≤ 2, the first initial-boundary value problem in a disk is considered. Small initial conditions, homogeneous boundary conditions, and periodicity conditions in the angular coordinate are imposed. Existence and uniqueness of a global-in-time solution is proved, and the solution is constructed in the form of a series of eigenfunctions of the Laplace operator in the disk. First-order long-time asymptotics of the solution...
Rhee, Wansoo T. (1986)
International Journal of Mathematics and Mathematical Sciences
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Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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Goel, Sharad, Montenegro, Ravi, Tetali, Prasad (2006)
Electronic Journal of Probability [electronic only]
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Seigner, J.A. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Nikeghbali, Ashkan, Yor, Marc (2009)
Electronic Communications in Probability [electronic only]
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