An Overview of Modern Applications of Negative Binomial Modelling in Ecology and Biodiversity
Diversity, 2022 Negative binomial modelling is one of the most commonly used statistical tools for analysing count data in ecology and biodiversity research. This is not surprising given the prevalence of overdispersion (i.e., evidence that the variance is greater than ...
Jakub Stoklosa +2 more
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Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels
, 2016 To each hyperbolic Landau level of the Poincar\'e disc is attached a generalized negative binomial distribution. In this paper, we compute the moment generating function of this distribution and supply its decomposition as a perturbation of the negative ...
Gnedenko B. V. +7 more
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Analyses of multiplicity distributions by means of the Modified Negative Binomial Distribution and its KNO scaling function [PDF]
, 1997 We analyze various data of multiplicity distributions by means of the Modified Negative Binomial Distribution (MNBD) and its KNO scaling function, since this MNBD explains the oscillating behavior of the cumulant moment observed in e^+e^- annihilations ...
Biyajima, M. +3 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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Entropy, 2022 We developed a quantum scheme of two atoms (TAs) and field initially in a negative binomial state (NBS). We displayed and discussed the physical implications of the obtained results in terms of the physical parameters of the model.
Kamal Berrada +3 more
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Stein factors for negative binomial approximation in Wasserstein distance [PDF]
, 2015 The paper gives the bounds on the solutions to a Stein equation for the negative binomial distribution that are needed for approximation in terms of the Wasserstein metric.
Barbour, A. D., Gan, H. L., Xia, A.
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Phase properties of hypergeometric states and negative hypergeometric states [PDF]
, 1999 We show that the three quantum states (P$\acute{o}$lya states, the generalized non-classical states related to Hahn polynomials and negative hypergeometric states) introduced recently as intermediates states which interpolate between the binomial states ...
Barnett S M +12 more
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Asymptotic inversion of the binomial and negative binomial cumulative distribution functions [PDF]
ETNA - Electronic Transactions on Numerical Analysis, 2020 The computation and inversion of the binomial and negative binomial cumulative distribution functions play a key role in many applications. In this paper, we explain how methods used for the central beta distribution function (described in [2]) can be used to obtain asymptotic representations of these functions, and also for their inversion.
Gil Gómez, Amparo +2 more
openaire +4 more sources
Group sequential designs for negative binomial outcomes
, 2018 Count data and recurrent events in clinical trials, such as the number of lesions in magnetic resonance imaging in multiple sclerosis, the number of relapses in multiple sclerosis, the number of hospitalizations in heart failure, and the number of ...
Friede, Tim +3 more
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A New Generalization of Negative Ploya-Eggenberger Distribution and its Applications [PDF]
, 2007 A new generalization of negative Polya-Eggenberger distribution (GNPED) has been obtained by mixing the negative binomial distribution with generalized beta distribution-Π defined by Nadarajah and Kotz (2003).
Ahmad, Sheikh Nilal, Hassan, Anwar
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