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A model expressing the ratio of two Poisson distributions of mean mu, one for which the random variable is x, and the other for which the random variable is equal to mu itself.
The equidistribution law is implicit in the grid generation procedure which requires the solution of two Poisson equations with control functions that are obtained directly from the error estimates or weighting functions at the grid points.
At each iteration, the involved saddle-point Maxwell system is transformed into an equivalent system consisting of a singular Maxwell equation and two Poisson equations, for both of which preconditioned iterative solvers are available with optimal convergence rate in terms of the total degrees of freedom.
Hence, in this paper experimental results are presented for four models with two Poisson's ratios and prove their consistency with the proposed criterion.
The two rates were compared using a two-sided F test for the ratio of two Poisson random variants.
In particular, we consider two Poisson models in which independent noise either (i) adds and deletes spikes (AD model) or (ii) shifts spike times (STS model).
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It is also very efficient, at every time step or Runge Kutta stage, only two Poisson-like equations have to be solved.
In a commonly implemented version of the vorticity velocity formulation, the governing equations for the fluid dynamics are expressed as two Poisson-like velocity equations together with the vorticity transport equation.
It is also very efficient, at every time step or Runge-Kutta stage, only two Poisson-like equations have to be solved.
The main computation consists of the solution of two Poisson-like equations at each Runge-Kutta time stage for which standard FFT based fast Poisson solvers are used.
With the aim of expanding the pool of two-part marginalized models for counts, special consideration is given to data generating mechanisms based on mixtures of two Poissons and a negative binomial with a Poisson distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com