On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
Mathematics, 2021 We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
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A mechanistic model for the negative binomial distribution of single-cell mRNA counts
bioRxiv, 2019 Several tools analyze the outcome of single-cell RNA-seq experiments, and they often assume a probability distribution for the observed sequencing counts. It is an open question of which is the most appropriate discrete distribution, not only in terms of
Lisa Amrhein +2 more
semanticscholar +1 more source
Analysis of Cumulant Moments in High Energy Hadron-Hadron Collisions by Truncated Multiplicity Distributions [PDF]
, 1996 Oscillatory behavior of cumulant moments obtained from the experimental data in $pp$ collisions and $\bar{p}p$ collisions are analyzed by the modified negative binomial distribution (MNBD) and the negative binomial distribution (NBD).
A. Breakstone +16 more
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Reliability of environmental sampling culture results using the negative binomial intraclass correlation coefficient. [PDF]
, 2014 The Intraclass Correlation Coefficient (ICC) is commonly used to estimate the similarity between quantitative measures obtained from different sources.
Aly, Sharif S +3 more
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Comparisons of statistical distributions for cluster sizes in a developing pandemic
BMC Medical Research Methodology, 2022 Background We consider cluster size data of SARS-CoV-2 transmissions for a number of different settings from recently published data. The statistical characteristics of superspreading events are commonly described by fitting a negative binomial ...
M. J. Faddy, A. N. Pettitt
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On the forward-backward correlations in a two-stage scenario [PDF]
, 2000 It is demonstrated that in a two-stage scenario with elementary Poissonian emitters of particles (colour strings) arbitrarily distributed in their number and average multiplicities, the forward- backward correlations are completely determined by the ...
Alexopulos +13 more
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Spatial distribution in marine invertebrates in rocky shore of Araucania Region (38° S, Chile) [PDF]
Brazilian Journal of Biology, 2019 The rocky shores in Chile have a wide invertebrate species diversity, that include species with marked abundances in determined regions. The aim of the present study is to analyse the spatial distribution pattern in different marine invertebrate species ...
P. De los Ríos, E. Carreño
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Disoriented Chiral Condensates, Pion Probability Distributions and Parallels with Disordered System [PDF]
, 1999 A general expression is discussed for pion probability distributions coming from relativistic heavy ion collisions. The general expression contains as limits: 1) The disoriented chiral condensate (DCC), 2) the negative binomial distribution and Pearson ...
A. A. Anselm +29 more
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Trials, 2023 Background Two characteristics of commonly used outcomes in medical research are zero inflation and non-negative integers; examples include the number of hospital admissions or emergency department visits, where the majority of patients will have zero ...
Kyunghyun Lee +4 more
semanticscholar +1 more source
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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