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10 results for “Posterior Distribution”
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Research ArticleOpen accessIn the keywordsBayesian 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 · 7,089 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Bayesian Adaptive Design for Combination of Three Drugs in Cancer Phase I Clinical TrialsMourad Tighiouart, Quanlin Li, Steven Piantadosi, Andre RogatkoWe describe a Bayesian adaptive design for early phase cancer trials of a combination of three agents. This is an extension of an earlier work by the authors by allowing all three agents to vary during the trial and by assigning different drug combinations to cohorts of three patients. The primary objective is to estimate the Maximum Tolerated Dose (MTD) … …Current Research in Biostatistics, Vol. 6, Issue 1 · 25 Aug 2016 · 8,421 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimation for Unknown Parameters of the Burr Type-XII Distribution Based on an Adaptive Progressive Type-II Censoring SchemeMontaser M. AmeinIn this study, the Maximum Likelihood Estimation (MLE) and Bayes estimation are exploited to make interval estimation based on adaptive progressive Type-II censoring for the Burr Type-XII distribution. Explicit form for the parameters of Bayes estimator doesn’t exist, so, Markov Chain Monte Carlo (MCMC) method is used as approximation to find posterior mean under squared error loss function. Real data … …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 29 Apr 2016 · 7,306 accessesView PDFCite
Research ArticleOpen accessIn the abstractSMOOTHING SPLINE IN SEMIPARAMETRIC ADDITIVE REGRESSION MODEL WITH BAYESIAN APPROACHRita Diana, I. Nyoman Budiantara, Purhadi, Satwiko DarmestoSemiparametric additive regression model is a combination of parametric and nonparametric regression models. The parametric components are not linear but following a polynomial pattern, while the nonparametric components are unknown pattern and assumed to be contained in the Sobolev space. The nonparametric components can be approximated by smoothing spline functions. In the development of smoothing spline, the classical statistical approach … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 12 Jun 2013 · 7,252 accessesView PDFCite
Research ArticleOpen accessIn the abstractSpatial Distribution of Fibroblast Growth Factor Receptor 2 in Normal and Lesioned Central Nervous System of Pleurodeles waltliiMarie Moftah, Marc Landry, Frederic Nagy, Jean-Marie CabelguenFibroblast Growth Factors (FGFs) have been implicated in numerous cellular processes including proliferation, migration, differentiation and neuronal survival. One of these growth factors, Fibroblast Growth Factor 2 (FGF2), is apparently implicated in the ability of the adult salamander (Pleurodeles waltlii) to recover locomotion following complete transection of the spinal cord. In a previous study, we reported up regulation of FGF2 … …Neuroscience International, Vol. 3, Issue 2 · 4 Sep 2012 · 7,145 accessesView PDFCite
Research ArticleOpen accessIn the abstractBayesian Determination of Disease Associated Differences in Haplotype BlocksIvan Kozyryev, Jing ZhangProblem statement: While experimental ascertainment of haplotype blocks in the genome-scale case-control studies is expensive, accurate computational phasing is still a daunting task for bioinformatics approaches. We used a statistical method to determine differences, potentially associated with a certain disease, in linkage disequilibrium block boundaries in whole-genome Single Nucleotide Polymorphisms (SNPs) data. Approach: We utilized a Bayesian model for calculating … …Current Research in Bioinformatics, Vol. 1, Issue 1 · 14 Feb 2012 · 8,423 accessesView PDFCite
Research ArticleOpen accessIn the abstractWeight of Evidence Allocates Mineral Depositional ZonesAbdullah A. Bokhari, Guang Dao HU, Rani FouadProblem statement: Yunnan province in general and Pulang area in particular is geological rich area which prevents field study in multi locations due to high risk outcrop. Approach: New technology such as Geographic Information System (GIS) and an ArcView extension module Arcweight of evidence (WofE) became very handy to provide safety for researchers and allow organization to control their budget. … …American Journal of Environmental Sciences, Vol. 6, Issue 6 · 31 Dec 2010 · 6,981 accessesView PDFCite
Research ArticleOpen accessIn the abstractBayesian Methods for Ranking the Severity of Apnea among PatientsNur Zakiah Mohd Saat, Kamarulzaman Ibrahim, Abdul Aziz JemainProblem statement: Studies on apnea patients are often carried out based on data obtained from the sleep study. This data is quite scarce since high cost is required for conducting the study. Bayesian method is particularly suitable for analyzing limited data as it allows for updating of information by combining the current information with the prior belief. Approach: In this … …American Journal of Applied Sciences, Vol. 7, Issue 2 · 28 Feb 2010 · 7,550 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn The Estimation of Survival Function and Parameter Exponential Life Time DistributionHadeel Salim Al-Kutubi, Noor Akma IbrahimProblem statement: The study and research of survival or reliability or life time belong to the same area of study but they may belong to a different area of application. In survival analysis one can use several life time distribution, exponential distribution with mean life time θ is one of them. To estimate this parameter and survival function we must … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 8,065 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordStatistical Inferences of the Rest Lifetimes of Ball Bearings' Residual Lifetimes Based on Rayleigh Residual Type II Censored DataGhassan K. Abufoudeh, Omar M. Bdair, Raed R. Abu AwwadIn this study, we consider statistical inference problems for the residual life data that come from the Rayleigh model based on type II censored data. Maximum likelihood and Bayesian approaches are used to estimate the scale and location parameters for the Rayleigh model, the Gibbs sampling procedure is used to draw Markov Chain Monte Carlo (MCMC) samples and MCMC samples … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 1 Aug 2016 · 7,161 accessesView PDFCite