What scientific folklore knows about the distances between the most popular distributions by Kelbert, Mark Yakovlevich, Suhov, Yurii M.

“…In particular, some estimates of the total variation distances between one-dimensional Gaussian distributions, between two Poisson distributions, between two binomial distributions, between a binomial and a Poisson distribution, and also between two negative binomial distributions are given. …”
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ON THE ANALYSIS OF STROKE IN INFANT IN ENUGU STATE: A POISSON PROCESS.

“…The existing data were analysed using the Poisson distribution function to determine if the data followed a random process. …”
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MEASUREMENT ERROR EFFECT ON THE POWER OF THE CONTROL CHART FOR ZERO-TRUNCATED BINOMIAL DISTRIBUTION UNDER STANDARDIZATION PROCEDURE by Anwer Khurshid, Ashit B. Chakraborty

“…Measurement error effect on the power of control charts for zero truncated Poisson distribution and ratio of two Poisson distributions are recently studied by Chakraborty and Khurshid (2013a) and Chakraborty and Khurshid (2013b) respectively. …”
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ON THE DISTRIBUTION OF THE SECOND DEGREES OF CONFIGURATION GRAPHS VERTICES by Elena Khvorostyanskaya

“…<br />As N →∞, the form of the generating function and the distribution of the random variable η(2) are found for graphs whose vertex degrees have the Poisson distribution.<br />Also, as N →∞, the form of the generating function of a random variable η(2) is obtained for graphs with the vertex degree distribution pk &gt; 0, k= 1, 2, . . . , such that pk ∼ d/kg( lnk)h, h 0, g&gt;7/3, d&gt;0, as k→∞.…”
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Traffic Distribution of IM Services by Li Rui-Bing, Sun Fang-Fang

“…With the proposition of new opinion that the distribution of many human activities follows heavy-tailed distribution rather than Poisson distribution, the research on human behaviors has received widely attention. …”
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Advanced Load Effect Model for Probabilistic Structural Design by M. Sýkora

“…It appears that the expected number of renewals follows the Poisson distribution. The initial probability of “on”-state is derived assuming random initial conditions. …”
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Incidence of snakebites from 2007 to 2014 in the State of São Paulo, Southeast Brazil, using a Bayesian time series model by Davi Casale Aragon, José André Mota de Queiroz, Edson Zangiacomi Martinez

“…METHODS: A statistical model based on the discrete double Poisson distribution was proposed, including pairs of sine and cosine functions of time to account for seasonality and autoregressive terms. …”
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CLUSTERING INSTABILITIES, ARCHING AND ANOMALOUS INTERACTION PROBABILITIES AS EXAMPLES FOR COOPERATIVE PHENOMENA IN DRY GRANULAR MEDIA by STEFAN LUDING

“…Uncorrelated events lead to a Poisson distribution for the collision frequencies. In contrast, the fingerprint of the cooperative phenomena discussed here is a power-law decay of the probability for many collisions per unit time. …”
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The type II exponentiated half logistic-odd Burr X-G power series class of distributions with applications by Neo Dingalo, Broderick Oluyede, Fastel Chipepa

“…We discuss its mathematical characteristics, maximum likelihood estimates and simulation experiments, along with practical applications in the type II exponentiated half logistic-odd Burr X-log-logistic Poisson distribution.…”
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Estimates of the Convergence Rate in the Generalized Rényi Theorem with a Structural Digamma Distribution Using Zeta Metrics by Alexey Kudryavtsev, Oleg Shestakov

“…In terms of the zeta metric, some estimates of the convergence rate in the generalized Rényi theorem are obtained when the structural mixed Poisson distribution of the summation index is a scale mixture of the generalized gamma distribution. …”
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Entropy of metallic glasses and the size effect on glass transition by Champion, Yannick

“…Serrations sizes follow a Poisson distribution consistent with, that their formation is a rare events. …”
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Convexity and robustness of the Rényi entropy by Filipp Buryak, Yuliya Mishura

“…We establish convergence of the disturbed entropy when the initial distribution is uniform but the number of events increases to ∞ and prove that the limit of Rényi entropy of the binomial distribution is equal to Rényi entropy of the Poisson distribution.…”
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Multiplicity distribution of charged particles in e+ e– annihilation in 54-57 GeV centre of mass energy and KNO scaling by A Ghasempoor Nashli, A Sepehri, T Gaffary, ME Zomorrodian

“…To achieve this we first fit the multiplicity distribution of charged particles in the energy range of 54-57 GeV by using both the Poisson distribution and KNO scaling, then we compare these results with multiplicity distribution at the lower energies. …”
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A new generation tree for permutations, preserving the number of fixed points by Philippe Duchon, Romaric Duvignau

“…Another application is a combinatorial algorithm for exact sampling from the Poisson distribution with parameter 1.…”
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Model-based quantile regression for count panel data by Zhang, Chuchu

“…By linking Generalized Linear Mixed Model (GLMM) based on Poisson distribution and the Quantile Regression (QR) model, we can map the parameters of the response variable to the regression quantiles and then estimate the regression quantiles through the likelihood function with Asymmetric Laplace Distribution (ALD). …”
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Handling of over-dispersion of count data via truncation using zero-inflated poisson regression model by Saffari, Seyed Ehsan, Adnan, Robiah, Greene, William

“…It is assumed to have the same value for expe ctation and variance in a Poisson distribution, but most of the time there is over - dispersion in the model. …”

Estimation of the probability of daily fluctuations of incidence of COVID-19 according to official data by Andrey Gerasimov, Elena Galkina, Elena Danilova, Irina Ikonnikova, Tamara Novoselova, Yuriy L. Orlov, Irina Senenycheva

“…For the distribution function of the module of difference between two independent observations of the Poisson distribution, an analytical expression has been obtained that allows to get an exact solution. …”
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Assessing agreement between malaria slide density readings by Ngasala Billy, Schellenberg David, Alexander Neal, Petzold Max, Drakeley Chris, Sutherland Colin

“…For an ideal slide, following the Poisson distribution, a criterion based on a constant difference in square root counts would apply for all densities. …”
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New Fuzzy Extensions on Binomial Distribution by Gia Sirbiladze, Janusz Kacprzyk, Teimuraz Manjafarashvili, Bidzina Midodashvili, Bidzina Matsaberidze

“…Sufficient conditions for the existence of a limit distribution and a Poisson distribution are also obtained. (4) As is known, based on the analysis of lexical material, the linguistic spectrum of the statistical process of word-formation becomes two-component when switching to vocabulary. …”
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Connectivity and Equilibrium in Random Games by Daskalakis, Constantinos, Dimakis, Alexandros G., Mossel, Elchanan

“…We show that when the average degree satisfies np>(2+Ω(1))loge(n), the number of pure Nash equilibria follows a Poisson distribution with parameter 1, asymptotically as n→∞. …”
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