Displaced negative-binomial mixed states: Generalized thermo-field-dynamics

Negative Binomial Loglinear Mixed Models

Binomial States and Negative Binomial States of the Radiation Field and their Excitations are Nonlinear Coherent States

We show that the well-known binomial states and negative binomial states of the radiation field and their excitations are nonlinear coherent states.Excited nonlinear coherent state are still nonlinear coherent states with different nonlinear functions.We finally give exponential form of the nonlinear coherent states. PACS numbers:42.50.Dv,03.65.Db,32.80.Pj,42.50.Vk Typeset using REVTEX ∗email:x...

Negative binomial and mixed Poisson regression

A number of methods have been proposed for dealing with extra-Poisson variation when doing regression analysis of count data. This paper studies negative-binomial regression models and examines efficiency and robustness properties of inference procedures based on them. The methods are compared with quasilikelihood methods. RESUME Plusieurs mkthodes ont ktk propokes en vue de traiter le probltme...

Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of their Statistical Properties

Abstract:We introduce excited binomial states and excited negative binomial states of the radiation field by repeated application of the photon creation operator on binomial states and negative binomial states. They reduce to Fock states and excited coherent states in certain limits and can be viewed as intermediate states between Fock states and coherent states. We find that both the excited b...

Lognormal and Gamma Mixed Negative Binomial Regression

In regression analysis of counts, a lack of simple and efficient algorithms for posterior computation has made Bayesian approaches appear unattractive and thus underdeveloped. We propose a lognormal and gamma mixed negative binomial (NB) regression model for counts, and present efficient closed-form Bayesian inference; unlike conventional Poisson models, the proposed approach has two free param...