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From noise to models to numbers: Evaluating negative binomial models and parameter estimations in single-cell RNA-seq. [PDF]
PLoS Comput BiolWang Y, Shu Z, Cao Z, Grima R.
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On estimation of the Poisson parameter in zero-modified Poisson models
Computational Statistics & Data Analysis, 2000For count data, typically a Poisson model is assumed. However, it has been observed in various applications that this model does not fit, because of too few or too many zeros in the data. For the latter case the zero-inflated Poisson (regression) model has been proposed.
Dietz, E., Böhning, D.
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On a Vlasov–Schrödinger–Poisson Model
Communications in Partial Differential Equations, 2005Abstract A Vlasov–Schrodinger–Poisson system is studied, modeling the transport and interactions of electrons in a bidimensional electron gas. The particles are assumed to have a wave behaviour in the confinement direction (z) and to behave like point particles in the directions parallel to the electron gas (x). For each fixed x and at each time t, the
Ben Abdallah, Naoufel, Méhats, Florian
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The Poisson-Helmholtz-Boltzmann model
The European Physical Journal E, 2011We present a mean-field model of a one-component electrolyte solution where the mobile ions interact not only via Coulomb interactions but also through a repulsive non-electrostatic Yukawa potential. Our choice of the Yukawa potential represents a simple model for solvent-mediated interactions between ions.
K, Bohinc, A, Shrestha, S, May
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Bivariate Poisson–Poisson model of zero-inflated absenteeism data
Statistics in Medicine, 2006Bimodal distributions of counts with one mode at zero are often seen in medical research. In a health survey parents were asked the number of days their children missed their activities (Y(1)) and the number of days their children spent in bed (Y(2)) due to illness in the past four weeks. Both variables exhibited zero inflation. We consider a bivariate
Lam, KF, Cheung, YB
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Proceedings of the 15th annual international ACM SIGIR conference on Research and development in information retrieval - SIGIR '92, 1992
This paper is a report of a study investigating the validity of the Multiple Poisson (nP) model of word distribution in document collections. An nP distribution is a mixture of n Poisson distributions with different means. We describe a practical algorithm for determining if a certain word is distributed acording to an nP distribution and computing the
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This paper is a report of a study investigating the validity of the Multiple Poisson (nP) model of word distribution in document collections. An nP distribution is a mixture of n Poisson distributions with different means. We describe a practical algorithm for determining if a certain word is distributed acording to an nP distribution and computing the
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Poisson wavelets applied to model identification
Journal of Process Control, 1994Abstract A novel wavelet transform is introduced based on the backward difference of the Poisson probability density function. This family of wavelets is a function of one discrete and two continuous variables. The Poisson wavelet transform is useful for system identification, parameter estimation and model validation.
Karlene A. Kosanovich +2 more
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Double Poisson-Tweedie Regression Models
The International Journal of Biostatistics, 2019Abstract In this paper, we further extend the recently proposed Poisson-Tweedie regression models to include a linear predictor for the dispersion as well as for the expectation of the count response variable.
Ricardo R. Petterle +5 more
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Stochastic Poisson-Sigma model
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009Summary: We produce a stochastic regularization of the Poisson-Sigma model of Cattaneo-Felder, which is an analogue regularization of Klauder's stochastic regularization of the Hamiltonian path integral [\textit{J. R. Klauder, S.V. Shabanov}, Mathematical methods of quantum physics (Jagna, 1998), 117--130, Gordon and Breach, Amsterdam (1999; Zbl 1170 ...
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