Moments of the Negative Multinomial Distribution
Mathematical and Computational Applications, 2023 The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data.
Frédéric Ouimet
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A note on a variance bound for the multinomial and the negative multinomial distribution [PDF]
Naval Research Logistics (NRL), 2014 8 ...
Afendras, G., Papathanasiou, V.
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Compound Power Series Distribution with Negative Multinomial Summands
Revstat Statistical Journal, 2022 The paper considers a multivariate distribution whose coordinates are compounds. The number of the summands is itself also a multivariate compound with one and the same univariate Power series distributed number of summands and negative multinomially ...
Pavlina Jordanova +2 more
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Occupancy Statistics and Entropy in Bose Systems [PDF]
EntropyIn this work, we compare three formulations of thermodynamic entropy for a non-interacting bosonic gas: (i) the grand-canonical Bose–Einstein entropy, (ii) the finite-N canonical entropy obtained from the exact partition function (Ziff, Uhlenbeck, and ...
Arnaldo Spalvieri
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Comparative poisson clinical trials of multiple experimental treatments vs a single control using the negative multinomial distribution. [PDF]
Stat Med, 2021 AbstractThis paper introduces a method which conditions on the number of events that occur in the control group to determine rejection regions and power for comparative Poisson trials with multiple experimental treatment arms that are each compared to one control arm.
Chiarappa JA, Hoover DR.
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A Characterization of the Negative Multinomial Distribution [PDF]
, 1981 This paper deals with a characterization of the negative multinomial distribution. It is based on the assumption that the conditional distribution of two random vectors is multivariate inverse hypergeometric. It makes use essentially of a multivariate analogue of a condition known in the literature as the Rao-Rubin condition.
Panaretos, John
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Unequal access: cross-sectional associations of deprivation, racial composition and independent and joint cannabis and alcohol outlet densities among Michigan census block groups [PDF]
BMJ Public HealthIntroduction Cannabis and alcohol outlets may independently and jointly influence the health of those in their surrounding neighbourhoods. State and local policy determines the establishment of cannabis and alcohol outlets in Michigan, potentially ...
Jason E. Goldstick +5 more
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Estimating effective reproduction number revisited
Infectious Disease Modelling, 2023 Accurately estimating the effective reproduction number is crucial for characterizing the transmissibility of infectious diseases to optimize interventions and responses during epidemic outbreaks. In this study, we improve the estimation of the effective
Shinsuke Koyama
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Correlations in Compositional Data without Log Transformations
Axioms, 2023 This article proposes a method for determining the p-value of correlations in compositional data, i.e., those data that arise as a result of dividing original values by their sum.
Yury V. Monich, Yury D. Nechipurenko
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Multinomial Probability Distribution and Quantum Deformed Algebras [PDF]
, 2023 An examination is conducted on the multinomial coefficients derived from generalized quantum deformed algebras, and on their recurrence relations. The R(p, q)-deformed multinomial probability distribution and the negative R(p, q)-deformed multinomial ...
Melong, Fridolin; https://orcid.org/
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