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 · 7,116 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTilted Beta Binomial Linear Regression Model: A Bayesian ApproachEdilberto Cepeda-Cuervo, Maria Victoria Cifuentes-AmadoThis paper proposes new linear regression models to deal with overdispersed binomial datasets. These new models, called tilted beta binomial regression models, are defined from the tilted beta binomial distribution, proposed assuming that the parameter of the binomial distribution follows a tilted beta distribution. As a particular case of this regression models, we propose the beta rectangular binomial regression models, … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 5 Jan 2020 · 8,784 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Uniform Truncated Negative Binomial Distribution and its PropertiesBahady I. Kamel, Shaban E. Abo Youssef, Mohamed G. SiefA new three parameters continuous distribution which is named the Uniform Truncated Negative Binomial (UTNB) distribution is introduced. It has the uniform and the Marshall-Olkin extended uniform distributions as sub-models. Some reliability and statistical properties of the new distribution are derived, including the shape behavior of the density and hazard rate functions, the mean residual life, moments and moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 29 Nov 2016 · 7,308 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSome Test Statistics for Testing the Binomial Parameter: Empirical Power ComparisonFlorence George, B.M. Golam KibriaProblem statement: The Binomial distribution is one of the most useful probability distributions in the filed of quality control, physical and medical sceinces. Many questions of interest to the health worker related to make inference about the unknown population proportion, parameter of binomial distribution. This study considers the problem of hypotheses testing of the parameter of a binomial distribution. Approach: … …Current Research in Biostatistics, Vol. 1, Issue 2 · 31 Dec 2010 · 7,870 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNegative Binomial-Lindley Distribution and Its ApplicationHossein Zamani, Noriszura IsmailProblem statement: The modeling of claims count is one of the most important topics in actuarial theory and practice. Many attempts were implemented in expanding the classes of mixed and compound distributions, especially in the distribution of exponential family, resulting in a better fit on count data. In some cases, it is proven that mixed distributions, in particular mixed Poisson … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 15,678 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleImprovement of Bayesian Credible Interval for a Small Binomial Proportion Using Logit TransformationToru Ogura, Takemi YanagimotoA novel credible interval of the binomial proportion is proposed by improving the Highest Posterior Density (HPD) interval using the logit transformation. It is constructed in two steps: first the HPD interval for the logit transformation of the binomial proportion is driven and then the corresponding credible interval of the binomial proportion is calculated by the inverse logit transformation of … …Current Research in Biostatistics, Vol. 8, Issue 1 · 20 Nov 2018 · 7,978 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCOMPARISON OF FIVE EXACT CONFIDENCE INTERVALS FOR THE BINOMIAL PROPORTIONIori Sakakibara, Emiko Haramo, Akimasa Muto et al.The Wald interval is easy to calculate; it is often used as the confidence interval for binomial proportions. However, when using this confidence interval, the actual coverage probability often falls under the nominal coverage probability in small cases. On the other hand, several confidence intervals where the actual cover age probability does not fall under the nominal coverage probability are … …Current Research in Biostatistics, Vol. 4, Issue 1 · 18 Jul 2014 · 8,109 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSpiral Binomial and Related Distributions for Obsession to AbortionRamalingam ShanmugamRepeated abortion is considered an important health concern by the pregnant women and the governments. Educating the public about the impact of abortion becomes the government’s responsibility. For this purpose, the government agencies turn to health and medical researchers for opinion about the impact of abortion. The public health researchers turn to data for clues and seek pertinent data information … …International Journal of Research in Nursing, Vol. 3, Issue 2 · 13 Aug 2012 · 6,720 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTruncated Estimate in Log-Binomial Model: Algorithm and SimulationLuyan Dai, Yang Li, Ye ShenProblem statement: Relative risk has concrete meanings of comparing two groups and measuring the association between exposures and outcomes in medical and public health studies. Log-binomial model, using a log link function on binary outcomes, is straightforward to estimate risk ratios, whereas generates boundary problems. When the estimates are located near the boundary of constrained parameter space, common approaches or … …Current Research in Biostatistics, Vol. 2, Issue 1 · 7 May 2012 · 8,291 accessesView PDFCite