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APPML
2007
95views more  APPML 2007»
13 years 5 months ago
On the solvability of two-point, second-order boundary value problems
We gain solvability to a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities...
Matthew Rudd, Christopher C. Tisdell
MA
2010
Springer
110views Communications» more  MA 2010»
13 years 4 months ago
Multivariate comonotonicity
In this paper we consider several multivariate extensions of comonotonicity. We show that naive extensions do not enjoy some of the main properties of the univariate concept. In o...
Giovanni Puccetti, Marco Scarsini
CORR
2000
Springer
71views Education» more  CORR 2000»
13 years 5 months ago
Smoothness and decay properties of the limiting Quicksort density function
Using Fourier analysis, we prove that the limiting distribution of the standardized random number of comparisons used by Quicksort to sort an array of n numbers has an everywhere ...
James Allen Fill, Svante Janson
SIAMCOMP
2000
88views more  SIAMCOMP 2000»
13 years 5 months ago
On a Conjecture by Coffman, Flatto, and Wright on Stochastic Machine Minimization
We investigate a conjecture stated by Coffman, Flatto, and Wright within the context of a stochastic machine minimization problem with a hard deadline. We prove that the conjecture...
Nah-Oak Song, Demosthenis Teneketzis
MA
2010
Springer
147views Communications» more  MA 2010»
13 years 4 months ago
On asymptotic normality of sequential LS-estimate for unstable autoregressive process AR(2)
For estimating parameters in an unstable AR(2) model, the paper proposes a sequential least squares estimate with a special stopping time defined by the trace of the observed Fis...
Leonid Galtchouk, Victor Konev