A Flexible Multivariate Distribution for Correlated Count Data by Kimberly F. Sellers, Tong Li, Yixuan Wu, Narayanaswamy Balakrishnan

“…Multivariate count data are often modeled via a multivariate Poisson distribution, but it contains an underlying, constraining assumption of data equi-dispersion (where its variance equals its mean). …”
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Fuzzy Markovian Bonus-Malus Systems in Non-Life Insurance by Pablo J. Villacorta, Laura González-Vila Puchades, Jorge de Andrés-Sánchez

“…More concretely, we describe in detail the common BMS where the number of claims follows a Poisson distribution under the hypothesis that its characteristic parameter is not a real but a triangular FN (TFN). …”
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One is enough: in vivo effective population size is dose-dependent for a plant RNA virus. by Mark P Zwart, José-Antonio Daròs, Santiago F Elena

“…The number of primary infection foci increased linearly with dose, and was similar to a Poisson distribution. At high doses, primary infection foci containing both genotypes were found at a low frequency (<2%). …”
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Spatial distribution of nymphs and adults of Euschistus heros (Fabricius, 1794) (Heteroptera: Pentatomidae) in transgenic soybean cultivars of different maturing cycles by Leandro Aparecido de Souza, José Carlos Barbosa, Oniel Jeremías Aguirre-Gil, Daniela de Lima Viana, Leticia Serpa dos Santos, Antonio Carlos Busoli

“…For studies of special distribution models of E. heros, adjustments of Poisson distribution and negative binomial distribution were tested. …”
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Weibull-like Model of Cancer Development in Aging by Tengiz Mdzinarishvili, Simon Sherman

“…In this work, for mathematical modeling of cancer hazards, we proposed to use the Weibull-like function, derived from the Armitage-Doll multistage concept of carcinogenesis and an assumption that number of clones at age t developed from mutated cells follows the Poisson distribution. This function is characterized by three parameters, two of which (r and λ) are the conventional parameters of the Weibull probability distribution function, and an additional parameter (C0) that adjusts the model to the observational data. …”
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SIMULASI ANTRIAN JARINGAN MULTI SERVER MENGGUNAKAN METODE OPEN JACKSON DENGAN PELAYANAN TUNGGAL SETIAP NODE by , I Wayan Supriana S.Si, , Prof. Drs. Subanar, Ph.D.

“…The arrival of data packets follow a Poisson distribution with Exponential service time and Erlang distribution are used as a comparison. …”

Circadian and multiday seizure periodicities, and seizure clusters in canine epilepsy by Gregg, NM, Nasseri, M, Kremen, V, Patterson, EE, Sturges, BK, Denison, TJ, Brinkmann, BH, Worrell, GA

“…Seizure clusters were evaluated with Fano factor (index of dispersion) measurements, and compared to a Poisson distribution. Relationships between interseizure interval (ISI) and seizure duration were evaluated. …”

Fetal hemoglobin is associated with peripheral oxygen saturation in sickle cell disease in Tanzania. by Nkya, S, Mgaya, J, Urio, F, Makubi, A, Thein, SL, Menzel, S, Cox, SE, Newton, CR, Kirkham, FJ, Mmbando, BP, Makani, J

“…HbF, SpO2 and routine clinical and laboratory measures were available in a Tanzanian cohort of 1175 SCD individuals aged≥5years and the association with SpO2 (as response variable transformed to a Poisson distribution) was assessed by negative binomial model with age and sex as covariates. …”

Conflict count between school children and motorized traffic around traffic-calmed school areas by Poi, Alvin Wai Hoong

“…The generalized linear modeling with Poisson distribution was used to develop the models. The final models revealed that vehicle-pedestrian flows, road width, presence of sidewalks and traffic wardens were significant in explaining the conflict counts. …”
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إستخدام نظرية المصداقية فى تسعير تأمين التوقف عن العمل بسبب الحريق بالتطبيق على شرکة مصر للتأمين by عبدالله عبدالعال محمد خزيم خزيم

“…ملخص الدراسة : Abstract يهدف هذا البحث إلى تسعير تأمين التوقف عن العمل بسبب الحريق وذلک باستخدام نظرية المصداقية Credibility Theory بالتطبيق على شرکة مصر للتأمين ، ويعتمد الباحث فى سبيل الوصول إلى السعر العادل والکافى لتأمين التوقف عن العمل بسبب الحريق على استخدام نظرية المصداقية وذلک من خلال تحديد التوزيع الاحتمالى المناسب لعدد الحوادث (التوزيعات المنفصلة) ، وکذلک تحديد التوزيع الاحتمالى المناسب لقيم الخسائر(التوزيعات المتصلة) ، ثم تطبيق معادلة المصداقية فى تسعير تأمين التوقف عن العمل بسبب الحريق وذلک بتقدير معامل المصداقية Credibility Factor للوصول للقسط الصافى والسعر العادل ، وقد توصلت الدراسة إلى أن التوزيع الاحتمالى المناسب لعدد الحوادث هو التوزيع البواسونى Poisson Distribution ، والتوزيع الاحتمالى المناسب لحجم الخسارة هو توزيع باريتو pareto Distribution ، کما توصلت الدراسة إلى السعر العادل والکافى لتأمين التوقف عن العمل بسبب الحريق باستخدام نظرية المصداقية بالتطبيق على شرکة مصر للتأمين وهو 0.006 ، وبمقارنة السعر العادل الذى توصلت إليه الدراسة لتأمين التوقف عن العمل بسبب الحريق بالسعر السائد والمطبق فى شرکة مصر للتأمين نجد أن الشرکة محل الدراسة تحصل على أسعار أقل من السعر العادل التى توصلت إليه الدراسة وبالتالى فقد أوصت الدراسة شرکة مصر للتأمين بضرورة تعديل أسعار تأمين التوقف عن العمل بسبب الحريق لديها وذلک بزيادة ورفع هذه الأسعار؛ حتى لا تحقق خسائر فى هذا النوع من التأمين فى المستقبل وحتى تتناسب الأسعار مع درجة الخطورة ولکى تتمکن هذه الشرکة من تکوين محفظة اکتتاب متوازنة تمکنها من تخفيض معدلات الخسائر لديها.…”
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Fire protection priorities in the oak forests of Iran with an emphasis on vertebrate habitat preservation by Romina Sayahnia, Salma Ommi, Hadi Khoshnamvand, Farid Salmanpour, Seyed Mohammad Moein Sadeghi, Faraham Ahmadzadeh

“…The results show that the annual fire rate in the Zagros forests is 76.2 (fire occurrences per year), calculated using the Poisson distribution. Findings show the highest fire rates are found in the northwest and a part of the south of the Zagros. …”
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A study of the correlation between meteorological factors and hospitalization for acute lower respiratory infections in children by Wancheng Zhang, Ye Ruan, Jianglong Ling, Lei Wang

“…Methods In this study, the Distributed Lag Nonlinear Model (DLNM) based on quasi-Poisson distribution was used to investigate the effect of temperature and relative humidity on LRTI hospitalization in children, and subgroup analyses were conducted to identify sensitive populations by gender and age. …”
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The role of family planning counselling during maternal and child health services in postpartum modern contraceptive uptake in Ethiopia: A national longitudinal study. by Kalayu Brhane Mruts, Gizachew A Tessema, Amanuel Tesfay Gebremedhin, Jane A Scott, Gavin Pereira

“…A weighted generalised linear model fitted with a Poisson distribution and a log link function was used to estimate the adjusted relative risk (aRR) and 95% Confidence Interval (CI) of modern contraceptive uptake. …”
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Use of cognitive behavioral therapy and token economy to alleviate dysfunctional behavior in children with attention-deficit hyperactivity disorder by Luzia Flavia Coelho, Deise Lima Fernandes Barbosa, Sueli eRizzutti, Mauro eMuszkat, Orlando Francisco Amodeo Bueno, Monica Carolina Miranda

“…Statistical analyses used were Generalized Estimating Equations with Poisson distribution and autoregressive order correlation structure. …”
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Environmental extreme temperature and daily preterm birth in Sabzevar, Iran: a time-series analysis by Danial Mohammadi, Elham Naghshineh, Alireza Sarsangi, Mohammad Javad Zare Sakhvidi

“…A semi-parametric generalized additive model following a quasi-Poisson distribution with the distributed lag non-linear model was selected as a modeling framework for time-series analysis to simultaneously model the short-term and lagged effect of heat stress on PTB in the Sabzevar city. …”
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Statistical properties of seismic foreshocks and aftershocks associated with longwall mining: Implications from the Epidemic Type Aftershock Sequence model by Xu Li, Guangyao Si, Bobo Shi, Wenzhuo Cao, Wu Cai, Joung Oh, Ismet Canbulat

“…The quantitative forecasting of triggered events was performed based on the nonhomogeneous Poisson distribution, which achieved a good consistency with their NT-parent events. …”
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Nowcasting for Real-Time COVID-19 Tracking in New York City: An Evaluation Using Reportable Disease Data From Early in the Pandemic by Greene, Sharon K, McGough, Sarah F, Culp, Gretchen M, Graf, Laura E, Lipsitch, Marc, Menzies, Nicolas A, Kahn, Rebecca

“…ResultsNowcasts with a 2-week moving window and a negative binomial distribution had lower mean absolute error, lower relative root mean square error, and higher 95% prediction interval coverage than nowcasts conducted with a 3-week moving window or with a Poisson distribution. Nowcasts conducted toward the end of the week outperformed nowcasts performed earlier in the week, given fewer patients diagnosed on weekends and lack of day-of-week adjustments. …”
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Sizing requirements of the photovoltaic charging station for small electrical vehicles by Aimable Ngendahayo, Adrià Junyent-Ferré, Joan Marc Rodriguez-Bernuz, Elizabeth Nyeko, Etienne Ntagwirumugara

“…The number of customers arriving at the existing oil station is normalized to estimate the energy requirements of the mopped fleet. A Poisson distribution was proposed to model the battery discharge upon arrival, and different related parameters were evaluated through a sensitivity analysis to identify their effects on the performance of photovoltaic charging station. …”
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Protocol for a cohort study of the impact of the COVID-19 pandemic on the rate and incidence of bystander cardiopulmonary resuscitation (CPR) after out-of-hospital cardiac arrest by Ingvild B. M. Tjelmeland, Jan Wnent, Siobhan Masterson, Jo Kramer-Johansen, Jan-Thorsten Gräsner

“…In the following analysis different registries will be considered as random samples and analysed by means of a generalized linear mixed effects model with Poisson distribution for the outcome, the population covered as offsets, and different registries as random factors. …”
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Fluorescence Correlation Spectroscopy Combined with Multiphoton Laser Scanning Microscopy—A Practical Guideline by Jeemol James, Jonas Enger, Marica B. Ericson

“…Within these restrictions the data follows the predicted theory of Poisson distribution. The observed dependence on laser power is understood in the context of perturbation on the effective focal volume. …”
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