On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism by Chénangnon Frédéric Tovissodé, Sèwanou Hermann Honfo, Jonas Têlé Doumatè, Romain Glèlè Kakaï

“…Using the Jensen–Shannon divergence measure, we show that under the equidispersion restriction, the family of balanced discrete gamma distributions is similar to the Poisson distribution. Based on this, we conjecture that while covering all types of dispersions, a count regression model based on the balanced discrete gamma distribution will allow recovering a near Poisson distribution model fit when the data are Poisson distributed.…”
Get full text

The COM-Poisson Process for Stochastic Modeling of Osmotic Inactivation Dynamics of Listeria monocytogenes by Pierluigi Polese, Manuela Del Torre, Mara Lucia Stecchini

“…Variation in the experimental observations is due to uncertainty and biological variability in the microbial response. The Poisson distribution is suitable for modeling the variation of equi-dispersed count data when the naturally occurring randomness in bacterial numbers it is assumed. …”
Get full text

An alternative hyper-Poisson integer-valued GARCH model with application to polio, internet protocol and COVID-19 data by Kee Wah Fo, Seng Huat Ong, Choung Min Ng, You Beng Koh

“…Other distributions such as the generalized Poisson, double Poisson, hyper-Poisson, and COM-Poisson distributions have been proposed to replace the Poisson distribution to model the different levels of dispersion in time series of counts. …”
Get full text

Non-randomness of the anatomical distribution of tumors by Clare Yu, James Kameron Mitchell

“…However, there is no reason to believe that the microvascular distribution obeys a Poisson distribution. Conclusions The spatial location of a tumor in an organ is not entirely random, indicating an unknown risk factor. …”
Get full text

A Statistical Model for Count Data Analysis and Population Size Estimation: Introducing a Mixed Poisson–Lindley Distribution and Its Zero Truncation by Gadir Alomair, Razik Ridzuan Mohd Tajuddin, Hassan S. Bakouch, Amal Almohisen

“…In this paper, we introduce a tractable one-parameter mixed Poisson distribution, which combines the Poisson distribution with the improved second-degree Lindley distribution. …”
Get full text

Nucleation Site Distribution Probed by Phase-Enhanced Environmental Scanning Electron Microscopy by Zhang, Lenan, Iwata, Ryuichi, Zhao, Lin, Gong, Shuai, Lu, Zhengmao, Xu, Zhenyuan, Zhong, Yang, Zhu, Jinlong, Cruz, Samuel, Wilke, Kyle L, Cheng, Ping, Wang, Evelyn N

“…We also use statistical theory to demonstrate that the population of nucleation sites is governed by the Poisson distribution, whereas the nearest-neighbor distance follows the Rayleigh distribution instead of the commonly used Poisson distribution. …”
Get full text

Prediction models for individual-level healthcare costs associated with cardiovascular events in the UK by Zhou, J, Wu, R, Williams, C, Emberson, J, Reith, C, Keech, A, Robson, J, Wilkinson, K, Armitage, J, Gray, A, Simes, J, Baigent, C, Mihaylova, B

“…</p> <p><strong>Results:</strong> For both people without and with previous CVD, primary care costs were modelled using onepart generalised linear models (GLMs) with identity link and Poisson distribution, and hospital costs with two-part models (part 1: logistic regression models probability of incurring costs; part 2: GLM with identity link and Poisson distribution models costs conditional on incurring any). …”

Markov Chain Hallway and Poisson Forest Environment Generating Distributions by Richter, Charles, Vega-Brown, William, Roy, Nicholas

“…The first generates random hallway environments based on a Markov chain and the second generates random forest environments based on the Poisson distribution.…”
Get full text

Pentapartitioned Neutrosophic Probability Distributions by Suman Das, Bimal Shil, Rakhal Das, Huda E. Khalid, A. A. Salama

“…The study is done through the generalization of some classical probability distributions as Poisson distribution, Exponential distribution, Uniform distribution etc. …”
Get full text

Some Neutrosophic Probability Distributions by Rafif Alhabib, Moustafa Mzher Ranna, Haitham Farah, A. A. Salama

“…In this paper, we introduce and study some neutrosophic probability distributions, The study is done through generalization of some classical probability distributions as Poisson distribution, Exponential distribution and Uniform distribution, this study opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.…”
Get full text

Statistical methods for discovery sampling. by Koh, Kristine Ai Ping., Ong, Soo Ling., Teo, Lay Chin.

“…It also highlights the various probability distributions that are used in fixed sample size discovery sampling, including the hypergeometric, binomial and poisson distribution. The project also discusses the use of sequential sampling approach in discovery sampling and concludes with a recommendation of the most appropriate statistical method.…”
Get full text

TAPDANCE: An automated tool to identify and annotate transposon insertion CISs and associations between CISs from next generation sequence data by Sarver Aaron L, Erdman Jesse, Starr Tim, Largaespada David A, Silverstein Kevin A T

“…</p> <p>Results</p> <p>We describe Transposon Annotation Poisson Distribution Association Network Connectivity Environment (TAPDANCE) software, which automates the identification of CISs within transposon junction fragment insertion data. …”
Get full text

Modeling Sage data with a truncated gamma-Poisson model by Zwinderman Aeilko H, Thygesen Helene H

“…This means that part of the variance in SAGE data should be understood as the sampling error in a binomial or Poisson distribution, whereas other variance sources, in particular biological variance, should be modeled using a continuous distribution function, i.e. a prior on the intensity of the Poisson distribution. …”
Get full text

Using Probabilistic Models for Data Compression by Iuliana Iatan, Mihăiţă Drăgan, Silvia Dedu, Vasile Preda

“…Our research objective is to improve the Huffman coding efficiency by adjusting the data using a Poisson distribution, which avoids the undefined entropies too. …”
Get full text

Population kinetics during simultaneous infection of insect cells with two different recombinant baculoviruses for the production of rotavirus-like particles by Palomares Laura A, Ramírez Octavio T, Mena Jimmy A

“…Only cultures with a total MOI below 5 pfu/cell followed the Poisson distribution. For cultures with a MOI of bacGFPVP2 above that of bacVP6 (overall MOI above 5 pfu/cell), the total population expressing one or both recombinant proteins was as low as 50% below that predicted by Poisson. …”
Get full text

Comparative analysis on sudden ionospheric disturbance by V.I. Nesterov

“…It is shown that the phase deviation of the received signal obeys the Poisson distribution. It is necessary to take into account the seasonal variations of the electron density.…”
Get full text

PROSES ANTRIAN DENGAN KEDATANGAN BERDISTRIBUSI POISSON DAN POLA PELAYANAN BERDISTRIBUSI GENERAL by Sugito Sugito, Abdul Hoyyi

“…In this paper we will discuss the process in queuing with the arrival of the Poisson distribution and the general pattern of service distribution   Keywords : Queuing,  Arrival Distribution, Service Distribution…”
Get full text

Multidimensional rare event probability estimation algorithm by Leonidas Sakalauskas, Ingrida Vaičiulytė

“…Logits of rare event likelihood we are modeling with Poisson distribution, which parameters are distributed by multivariate normal law with unknown parameters – mean vector and covariance matrix. …”
Get full text

Approximations of the ruin probability in a discrete time risk model by David J. Santana, Luis Rincón

“…The result is then extended for claims with a mixed Poisson distribution. The formula obtained allows for some approximation procedures. …”
Get full text

On an Extension of the Exponential and Weibull Distributions by Salih Çelebioğlu

“…Abstract: In this study, the Poisson distribution is used to add a new parameter to the exponential and Weibull distributions, and some results on survival distributions of the new extended distributions are given. …”
Get full text