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Negative Binomial and Multinomial States: probability distributions and coherent states [PDF]
, 1996 Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the $su(2)$ coherent states ...
Fu, Hong-Chen, Sasaki, Ryu
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An improved bound for negative binomial approximation with -functions
AKCE International Journal of Graphs and Combinatorics, 2017 In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
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Size-Biased Generalized Negative Binomial Distribution [PDF]
, 2008 A size biased generalized negative binomial distribution (SBGNBD) is defined and a recurrence relationship for the moments of SBGNBD is established. The Bayes’ estimator for a parametric function of one parameter when two other parameters of a known size-
Mir, Khurshid Ahmad
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How many strong earthquakes will there be tomorrow?
Frontiers in Applied Mathematics and Statistics, 2023 In this note, we study the distribution of earthquake numbers in both worldwide and regional catalogs: in the Global Centroid Moment Tensor catalog, from 1980 to 2019 for magnitudes Mw 5.
Matteo Taroni +3 more
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The use of prevalence as a measure of lice burden: a case study of Lepeophtheirus salmonis on Scottish Atlantic salmon, Salmo salar L., farms [PDF]
, 2009 This study investigates the benefits of using prevalence as a summary measure of sea lice infestation on farmed Atlantic salmon, Salmo salar L. Aspects such as sampling effort, the relationship between abundance and prevalence arising from the negative ...
Baillie, M. +3 more
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Zhongguo gonggong weisheng, 2022 ObjectiveTo compare differences among the results of utilizing Poisson distribution, quasi-Poisson distribution, and negative binomial distribution in the generalized additive model (GAM) analysis on the association of ambient air ozone (O3) with ...
Zheng-rong GU, Xin-yu WANG, Hui XU
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Do not log-transform count data [PDF]
, 2010 1. Ecological count data (e.g., number of individuals or species) are often log-transformed to satisfy parametric test assumptions. 2. Apart from the fact that generalized linear models are better suited in dealing with count data, a log ...
Johan Kotze, Robert B. O'
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Double Generalized Beta-Binomial and Negative Binomial Regression Models
Revista Colombiana de Estadística, 2017 Overdispersion is a common phenomenon in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data.
EDILBERTO CEPEDA-CUERVO +1 more
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Non-classical properties and algebraic characteristics of negative binomial states in quantized radiation fields [PDF]
, 1999 We study the nonclassical properties and algebraic characteristics of the negative binomial states introduced by Barnett recently. The ladder operator formalism and displacement operator formalism of the negative binomial states are found and the algebra
Pan, Shao-Hua +2 more
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Determination of point estimates of negative binomial distribution parameters
Vojnotehnički Glasnik, 1999 A method for determining point estimates of c and p parameters of the negative binomial distribution has been presented in the paper. This is a method of moments because the estimation of these parameters is based on the mean value m and the standard ...
Dragoljub M. Brkić
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