Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function by Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek

“…Finally, we give some remarks and observations on our results related to some probability distributions such as the binomial distribution and the Poisson distribution.…”
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Localization of weakly interacting Bose gas in quasiperiodic potential by Sayak Ray, Mohit Pandey, Anandamohan Ghosh, Subhasis Sinha

“…The level spacing statistics also identify the transition to localized states resembling a Poisson distribution that are ubiquitous for both non-interacting and interacting systems. …”
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POLITICAL UNCERTAINTY AND THE PESO PROBLEM by JAVIER GARCÍA FRONTI, LEI ZHANG

“…Assuming that the change of government follows a Poisson distribution, our model shows that the expectations of a devaluation under the subsequent new government may drive up country risk premium under the first government. …”
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A Search for Neutrino Point-source Populations in 7 yr of IceCube Data with Neutrino-count Statistics

“…All rights reserved The presence of a population of point sources in a data set modifies the underlying neutrino-count statistics from the Poisson distribution. This deviation can be exactly quantified using the non-Poissonian template fitting technique, and in this work we present the first application of this approach to the IceCube high-energy neutrino data set. …”
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Photodissociation transition states characterized by chirped pulse millimeter wave spectroscopy by Prozument, Kirill, Baraban, Joshua H, Changala, P Bryan, Park, G Barratt, Shaver, Rachel G, Muenter, John S, Klippenstein, Stephen J, Chernyak, Vladimir Y, Field, Robert W

“…These VPDs encode the properties of the parent molecule transition state at which the fragment molecule was born. A Poisson distribution formalism, based on the generalized Franck–Condon principle, is proposed as a framework for extracting information about the transition-state structure from the observed VPD. …”
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Investigation into inventory fulfillment of different priority order classes by Tan, Wei Song.

“…The policies will both be set in a continuous review environment with three customer classes with demand following Poisson distribution. Demands that are unmet will be backordered and is cleared upon the arrival of replenishment. …”
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Red cell selectivity in malaria: a study of multiple-infected erythrocytes. by Simpson, J, Silamut, K, Chotivanich, K, Pukrittayakamee, S, White, N

“…To characterize red cell susceptibility to invasion in malaria, a selectivity index (SI) was calculated as the ratio of observed number of multiple-infected red cells to that expected from a random process (Poisson distribution). In patients with falciparum malaria (n = 100) SI decreased with increasing parasitaemia (P < 0.001), and correlated inversely with plasma lactate concentrations, chosen prospectively as a measure of disease severity (r = -0.36, P < 0.001). …”

Insects on plants: explaining the paradox of low diversity within specialist herbivore guilds by Novotny, V, Miller, SE, Hrcek, J, Baje, L, Basset, Y, Lewis, OT, Stewart, AJA, Weiblen, GD

“…The highly specialized miners and mesophyll suckers were the least species-rich guilds. The Poisson distribution of herbivore species richness among plant species in specialized guilds and the absence of a negative correlation between species richness in different guilds on the same plant species suggest that these guilds are not saturated with species. …”

Dynamic Multiprocessor Scheduling Model For The Reconfigurable Mesh Computing Networks by Salleh, Shaharuddin, Aziz, Nur Arina Bazilah, Azmee, Nor Afzalina, Mohamed, Nurul Huda

“…Our model called the Dynamic Scheduler on Reconfigurable Mesh (DSRM) is based on the Markovian m/m/c queueing system, where tasks arrive and form a queue according to Poisson distribution, and are serviced according to the exponential distribution. …”
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Poisson regression model to determine factors of microplastic ingestion by African catfish by Sarijan, S., Azman, S., Lee, M. H., M. Said, M. I.

“…Poisson regression model is used to investigate the relationship among pa-rameters when the response variable is a count data that follows Poisson distribution. The Poisson regression model is widely applied in various fields such as medical and epidemiological study. …”

Investigation into Atmospheric Pollution Impacts on Hospital Admissions in Attica Using Regression Models by Aggelos Kladakis, Kyriaki-Maria Fameli, Konstantinos Moustris, Vasiliki D. Assimakopoulos, Panagiotis Nastos

“…The Generalized Linear Models with Poisson Distribution were applied because of the distribution followed by the medical data. …”
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A statistical model of size effect on concrete tensile and compressive strength by Wang Zhibin, Yang Liyun, Qian Guian, Li Qintao, Xu Huidong

“…In order to study the relationship between the tensile and compressive strength of the concrete commonly used in engineering and the size of specimen, a statistical model of the size effect on concrete strength was established based on the generalized weakest chain formula proposed by Lei recently, assuming that the distribution of the internal defects in concrete follows the uniform distribution or the Poisson distribution. It realizes the prediction of the strength of small-scale concrete specimens to the strength of full-scale members under the condition of a given failure probability. …”
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A discrete-time susceptible-infectious-recovered-susceptible model for the analysis of influenza data by Georges Bucyibaruta, C.B. Dean, Mahmoud Torabi

“…As time and disease state variables are assumed to be discrete, this model is considered to be a discrete time, stochastic, Susceptible-Infectious-Recovered-Susceptible (DT-SIRS) model, where weekly counts of disease are assumed to follow a Poisson distribution. We allow the disease transmission rate to also vary over time, and the disease can only be reintroduced after extinction if there is a contact with infected individuals from other host populations. …”
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On the clustering of winter storm loss events over Germany by M. K. Karremann, J. G. Pinto, P. J. von Bomhard, M. Klawa

“…For such less frequent series, estimates obtained with the Poisson distribution clearly deviate from empirical data. …”
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The Influence of MAC Protocol on a Non-Synchronous Localization Scheme in Large-Scale UWSNs by Keyu Chen, En Cheng, Fei Yuan, Wei Su, Maode Ma

“…Then according to the non-synchronous localization scheme, we analyze the reason of packet collisions and propose the variable interval ALOHA (VI-ALOHA) protocol based on the Poisson distribution. The VI-ALOHA protocol reduces the collision by adding random space–time. …”
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Spatial distribution of the natural enemies of the cotton aphid, and the comparison of its estimating procedures in cotton fields of Gorgan, Iran by A. Afshari, E. Soleymannejadian, E. Soleymannejadian, E. Soleymannejadian, E. Soleymannejadian, P. Shishehbor, P. Shishehbor, P. Shishehbor, P. Shishehbor

“…Percentage fit for some species such as larva and adult stages of chrysopids, adult stages of Coccinella septempunctata L. and Scymnus spp., and spider species, showed a distinct tendency to the Poisson distribution and low values of Taylorâs b index. …”
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Three-Dimensional Image Visualization under Photon-Starved Conditions Using <i>N</i> Observations and Statistical Estimation by Hyun-Woo Kim, Min-Chul Lee, Myungjin Cho

“…Since photons are extracted randomly using the Poisson distribution, increasing the samples of photons can improve the accuracy of photon extraction. …”
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Fluctuation scaling, Taylor's law, and crime. by Quentin S Hanley, Suniya Khatun, Amal Yosef, Rachel-May Dyer

“…On this scale, violence reports were close to a Poisson distribution (α = 1.057 ± 0.026) while burglary exhibited a greater exponent (α = 1.292 ± 0.029) indicative of temporal clustering. …”
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On the randomness and correlation in the trajectories of alpha particle emitted from 241Am: statistical inference based on information entropy by M. El Ghazaly, Elsayed K. Elmaghraby, A. Al-Sayed, Amal Mohamed, Mahmoud S. Dawood

“…The statistical inference processes were based upon adaptive quadrates analysis of the spatial data, and entropy and divergence analysis of the quadrate data together with the null hypothesis of Poisson distribution of random trajectories. The clustering and dispersion analysis were performed with central deviation tendency, empirical K-function, radial distribution analysis, and proximity Analysis. …”
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dPCR: A Technology Review by Phenix-Lan Quan, Martin Sauzade, Eric Brouzes

“…Quantification by dPCR hinges on the fact that the random distribution of molecules in many partitions follows a Poisson distribution. Each partition acts as an individual PCR microreactor and partitions containing amplified target sequences are detected by fluorescence. …”
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