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Composite B-spline regularized delta functions for the immersed boundary method: Divergence-free interpolation and gradient-preserving force spreading. [PDF]

J Comput Phys
Gruninger C, Griffith BE.
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Flexible and efficient count-distribution and mixed-model methods for eQTL mapping with quasar

Pullin JM, Choi J, Choi J, McCarthy DJ, Wallace C.   +4 more
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Refinement of Poisson Approximation

Theory of Probability & Its Applications, 1989
See the review in Zbl 0652.60029.
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On the quality of poisson approximations

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1973
Poisson processes (possibly nonhomogeneous) are constructed in the function spaces D q ≡D([0, 1] q , R) and Dq q x ⋯ x D q in order to approximate superpositions of uniformly sparse point processes and partial sums of infinitesimal integer-valued nonnegative random variables. Bounds for the Prohorov distance are computed, where the Prohorov distance is
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Extending the Poisson approximation

Science, 1993
Science ; 262 ; 5132 ; 379-380 ...
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On Large Deviations in the Poisson Approximation

Theory of Probability & Its Applications, 1994
Summary: This paper proves a general lemma comparing the behavior of probabilities of large deviations \({\mathbf P}(X \geq x)\) of a random variable \(X\) against the Poisson distribution \(1 - P(x,\lambda)\) (\(\lambda\) is the parameter of the Poisson distribution). When upper bounds are known for the factorial cumulants \(\widetilde{\Gamma}_ k (x)\)
Statulevičius, V., Aleškevičiene, A.
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Approximating functions by their poisson transform

Information Processing Letters, 1986
When analyzing the performance of hashing algorithms, it is usually assumed that the hash function distributes the n keys randomly over the m table positions. In this exact filling model, all the m n possible arrangements are equally likely. In some cases, the analysis under this model becomes too difficult, and a Poisson filling model is used instead.
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Poisson Approximation

1992
Abstract The Poisson `law of small numbers' is a central principle in modern theories of reliability, insurance, and the statistics of extremes. It also has ramifications in apparently unrelated areas, such as the description of algebraic and combinatorial structures, and the distribution of prime numbers.
A D Barbour, Lars Holst, Svante Janson
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On the Poisson Approximation of the Binomial Distribution

Siberian Mathematical Journal, 2001
Given two arbitrary probability distributions \(P\) and \(Q\) on the real line and an arbitrary nonnegative constant \(z\), denote by \(\rho(z,P,Q)\) the so-called Dudley distance between \(P\) and \(Q\): \[ \rho(z,P,Q)=\inf_{\xi,\eta}\mathbf{P}\{|\xi-\eta|>z\}, \] where the infimum is calculated over all random variables \(\xi\) and \(\eta\) on a ...
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