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66 results for “Poisson”
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Research ArticleOpen accessEvery word in the titleRobust Modelling of Coronavirus Cases in Egypt: Poisson INARCH and Negative Binomial INARCHHanan ElsaiedThis study compares robust Poisson INARCH(P) models (more briefly: RP-INARCH) and robust negative binomial INARCH(p) models (more briefly: RNB-INARCH) to fit the new daily confirmed cases for the first wave of COVID 19 in Egypt. The robust estimation of these models is based on some modifications of the Conditional Maximum Likelihood Estimates (CMLE). The simulation results show that RNB-INARCH is … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 23 Jun 2021 · 7,120 accessesView PDFCite
Research ArticleOpen accessEvery word in the titlePoisson-Gamma Latent Dirichlet Allocation Model for Topics with Word DependenciesIbrahim Bakari Bala, Mohd Zainuri SaringatThis paper introduces the Poisson-Gamma Latent Dirichlet Allocation (PGLDA) model for modeling word dependencies in topics modeling. The Poisson document length distribution has been used extensively in the past for modeling topics with the expectation that its effect will fizzle out at the end of the model definition. This procedure often leads to downplaying the effect of word correlation with … …Journal of Computer Science, Vol. 16, Issue 12 · 3 Dec 2020 · 6,879 accessesView PDFCite
Research ArticleOpen accessEvery word in the titlePoisson Quasi-Maximum Likelihood Estimator-based CUSUM Test for Integer-Valued Time SeriesSangyeol LeeThis study considers the parameter change test for integer-valued time series models based on the Poisson quasi-maximum likelihood estimates. As a change point test, we consider the score vector-based CUSUM test and show that its limiting null distribution takes the form of a function of Brownian bridges. Moreover, the residual-based CUSUM tests are considered as alternatives. For evaluation, we conduct … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 1 Oct 2019 · 7,656 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRoad Safety When Drivers Use Alcohol and Marijuana: Confounded Poisson Distribution Helps to UnderstandRamalingam Shanmugam, Ram Tripathi, Karan SinghSelf-admitted users of alcohol and/or marijuana while driving haunt road safety regulating agencies in general and community groups such as Mothers Against Drunk Driving (MADD) in particular. Motivated by such data in a survey, by 6,612 drivers above 18 years old in USA during years 2013-2015, we thought of interpreting how the road safety is in the scenarios. Needless to … …International Journal of Research in Nursing, Vol. 8, Issue 1 · 3 Jun 2017 · 7,174 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBivariate Poisson-Lindley Distribution with ApplicationHossein Zamani, Pouya Faroughi, Noriszura IsmailThis study applies a Bivariate Poisson-Lindley (BPL) distribution for modeling dependent and over-dispersed count data. The advantage of using this form of BPL distribution is that the correlation coefficient can be positive, zero or negative, depending on the multiplicative factor parameter. Several properties such as mean, variance and correlation coefficient of the BPL distribution are discussed. A numerical example is … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 12 Mar 2015 · 7,935 accessesView PDFCite
Research ArticleOpen accessEvery word in the titlePOISSON-WEIGHTED EXPONENTIAL UNIVARIATE VERSION AND REGRESSION MODEL WITH APPLICATIONSHossein Zamani, Noriszura Ismail, Pouya FaroughiThis study introduces a new two-parameter mixed Poisson distribution, namely Poisson-Weighted Exponential (P-WE), which is obtained by mixing Poisson distribution with a new class of weighted exponential distribution. The new P-WE distribution provides a more flexible alternative for modelling over dispersed count data compared to Poisson distribution. The estimation procedures of P-WE distribution via method of moments and maximum likelihood … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 8 Mar 2014 · 7,345 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAlzheimer’s Disease Prognosis is Captured by a Down-Upsized Incidence Poisson DistributionRamalingam ShanmugamAlzeimer disease is a daunting nightmare to both the medical and families of the patients. Tireless efforts are made by the medical researchers to treat Alzheimer’s patients. The Alzhiemer patients’ data provides clues about its prognosis and they can be identifies when the data are analyzed and understood correctly. The data analysis is a first step in the path to … …Current Research in Medicine, Vol. 4, Issue 2 · 4 Sep 2013 · 6,928 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleConfidence Intervals for Signal to Noise Ratio of a Poisson DistributionFlorence George, B.M. Golam KibriaThe Poisson distribution is one of the most useful probability distributions to fit rare event data. Confidence interval for the SNR is an important issue among the researchers in image processing. This study considers several confidence intervals for the SNR of a Poisson distribution. Different confidence intervals available in literature are reviewed and compared based on the coverage probability and … …Current Research in Biostatistics, Vol. 2, Issue 2 · 19 Sep 2012 · 13,914 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBayesian Approach to the Estimation of a Poisson Mean with Application to NBA Three Point AttemptsPatricia Pepple WilliamsonBayesian Credible Intervals are proposed for a Poisson mean. These intervals are compared to five classical confidence intervals found in the literature. A simulation study is performed to compare the procedures using two different criteria and it is attempted to determine which of the procedures performs best for various values of the parameter and sample size. Estimation of the number … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 12 Nov 2018 · 7,095 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleLevel of Non-Matching Primary Transplant Cases According to Repeat Transplants Cases and a New Bivariate Poisson DistributionRamalingam ShanmugamIn their practice, healthcare administrators and professionals often wonder about the non-matching level organs in transplants for the sake of future forecasting. Currently, there is no appropriate methodology to analyze the pertinent transplant data and describe the patterns. The lack of a suitable methodology in the literature originates from an incorrect impression that the primary transplant cases and the repeat … …Current Research in Medicine, Vol. 8, Issue 1 · 10 Jul 2017 · 9,154 accessesView PDFCite