Maximum-likelihood Regression with Systematic Errors for Astronomy and the Physical Sciences. I. Methodology and Goodness-of-fit Statistic of Poisson Data by Massimiliano Bonamente, Yang Chen, Dale Zimmerman

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On Concordance Measures for Discrete Data and Dependence Properties of Poisson Model by Taoufik Bouezmarni, Mhamed Mesfioui, Abdelouahid Tajar

“…Finally, we give useful dependence properties of the bivariate Poisson distribution and show the relationship between parameters of the Poisson distribution and both tau and rho.…”
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Prediction of Outcomes in Sports Under Probability in Kigezi Region. by Masereka, Jairus

“…If these conditions are true, then k is a Poisson random variable, and the distribution of k is a Poisson distribution. The Poisson distribution is also the limit of a binomial distribution, for which the probability of success for each trial equals λ divided by the number of trials, as the number of trials approaches infinity. …”
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Approximation of the semi-infinite interval by A. McD. Mercer

“…Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution. Recently R. Mohapatra has generalized Szasz' result to the case in which the approximating function is αe−ux∑k=N∞(ux)kα+β−1Γ(kα+β)f(kαu)The present note shows that these results are special cases of a Tauberian theorem for certain infinite series having positive coefficients.…”
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Degree distribution optimization for LT codes and its application in link maintenance of cognitive radio by Benshun YI, Weiqing YAO

“…The degree distribution has a great influence on the performance of Luby transform (LT) codes.Based on the link maintain model of cognitive radio system，the novel degree distribution of LT codes was obtained by using the THOA (two-layer hierarchical optimization algorithm) to combine the IPD (improved poisson distribution) which achieved high decoding success rate with low overhead and the robust soliton distribution (RSD) which achieved high decoding success rate with high overhead.Simulation results show that the proposed method with application to link maintenance in cognitive radio system can improve the reliability and efficiency of secondary communication.…”
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Analysis of time delay jitter of communication system on fault location of power line based on traveling wave method by Mingzhen LI, Jianming LIU, Hang WANG, Wenjun ZHOU

“…In order to study the time delay jitter of communication system on fault location of power line,a mathematical model of the delay jitter based on Poisson distribution was presented.The characteristic of the random delay jitter for single and multiple node cases were analyzed.Results show the delay jitter is remarkable when the communication load is high,and is insensitive when the communication load is low in the single node case.The total delay jitter is lower than the sum of the jitter in the queues on a path,and the position of the heavy load node in the path has a large influence on the total path jitter.The delay jitter with its influencing factors should be taken into account to perform optimal network design.…”
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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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Perbandingan Model Generalized Ammi (Gammi) dengan Row Column Interaction Model pada Interaksi Genotipe dan Lingkungan by Kurnia Ahadiyah, Ardiana Fatma Dewi

“…This model also can used for the data that have poisson distribution. These two models will be compared with the analysis value of the deviance and biplot. …”
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A Novel Adaptive Probabilistic Nonlinear Denoising Approach for Enhancing PET Data Sinogram by Musa Alrefaya, Hichem Sahli

“…Since the sinogram noise is uncorrelated and follows a Poisson distribution, we then propose an adaptive probabilistic diffusivity function where the edge probability is computed at each pixel. …”
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Dynamic router and wavelength algorithm based on a VMC-genetic algorithm and dynamic network load balance in optical network by LI Wei 1, HUANG De-xiu 2, LIU De-ming 1, HE Jun1

“…By revising the weight of Dijistra algorithm connected with the network traffic under Poisson distribution, a dynamic weight Dijistra algorithm based on the optical network load balance used for the router searching sub-problem was proposed. …”
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A Fault Tolerance Optimization Model of the China Railway Geographic Network Topological Structure by Fenling Feng, Ziwen Tang, Lei Wang

“…With degree distribution characteristics of the China Railway geographic network, an optimization model from macro to micro is established on the relative entropy. Firstly, Poisson distribution of the China Railway geographic network is verified and fitted. …”
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Blind detection for image steganography using short du ate codes statistical model for Hilbert scanning sequences by Shang-ping ZHONG, Qiao-fen XU, Wen-zhong GUO, Bin LIAO

“…By analyzing and proving the correlation between the detection capability of a short duplicate code statistical feature and the probability of cumulating short duplicate codes、the dimension of short duplicate codes,a method to improving the detection capability of a short duplicate code statistical feature was found.Then,a blind detection method for image steganography using short duplicate codes statistical model for Hilbert scanning sequences was proposed.The proposed method used Poisson distribution test to detect the stego-message based on the statistical feature of short duplicate code with same elements in LSB Hilbert scanning sequences.So,the proposed method could make full use of Hilbert curve to maintain the good properties of local correlation,and could not only use the correlation of adjacent elements,but also use the correlation of elements in local regions.Theoretical lysis and experiments show that the proposed method can effectively improve the detection rate under the condition of effectively controlling the false alarm rate.…”
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Sensing Coverage Prediction for Wireless Sensor Networks in Shadowed and Multipath Environment by Sushil Kumar, D. K. Lobiyal

“…Further, the coverage probability derivations obtained using Rayleigh fading and lognormal shadowing fading are validated by node deployment using Poisson distribution. A comparative study between our proposed sensing channel model and different existing sensing models for the network coverage has also been presented. …”
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A Review of Three Simple Plant Models and Corresponding Statistical Tools for Basic Research in Homeopathy by Lucietta Betti, Grazia Trebbi, Michela Zurla, Daniele Nani, Maurizio Peruzzi, Maurizio Brizzi

“…The statistical analysis was performed by using parametric and nonparametric tests, and Poisson distribution had an essential role when dealing with germination experiments. …”
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Relationship between climate variability and mass removal processes. Tunja-Páez case study by July Katerine Rojas-Mesa, Luis Carlos Leguizamón-Barreto, Luis Alfredo Vega-Báez

“…This model used first order, second moment FOSM, and the Poisson distribution of probabilistic foundations to estimate the probability of failure of given slope. …”
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Trigonometric Regression for Analysis of Public Health Surveillance Data by Steven E. Rigdon, George Turabelidze, Ehsan Jahanpour

“…We describe and study a method for monitoring reportable disease counts using a Poisson distribution whose mean is allowed to vary depending on the week of the year. …”
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The Reliability Model for Bike-Sharing Dispatch Based on Hotspot Detection and Hypothesis Test: A Case Study in Beijing by Chao Sun, Jian Lu

“…By adopting different distribution forms, including Poisson distribution, Rayleigh distribution, exponential distribution, normal distribution, and gamma distribution, we examine the distribution characteristics of OD differences. …”
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The determinants of severe food insecurity in Africa using the longitudinal generalized Poisson mixed model by Adusei Bofa, Temesgen Zewotir

“…Generalized estimating equations were then applied to account for the overdispersion associated with the Poisson distribution. To make the interpretation of the results more meaningful, 10 PCA components were selected. …”
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Predictive performance of count regression models versus machine learning techniques: A comparative analysis using an automobile insurance claims frequency dataset. by Gadir Alomair

“…Traditional methods typically rely on a Poisson distribution for modeling claim counts; however, this approach can be inadequate due to frequent zero-claim periods, leading to zero inflation in the data. …”
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Epidemiology and Factors Influencing Davis Cup Retirements Over the Past Twenty Years by Martí Casals, Jordi Cortés, Daniel Llenderrozos, Miguel Crespo, Timothy E. Hewett, Lorena Martin, Ernest Baiget

“…Factors that might influence the retirements were studied by means of generalized linear models using Poisson distribution. Incidence rates by 1000 games and incidence rate ratios of retirements are provided as association measures…”
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