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Showing 1 to 4 of 4 for “"Poisson Parameter"”.
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Wald Confidence Intervals for a Single Poisson Parameter and Binomial Misclassification Parameter When the Data is Subject to Misclassification
<p>This thesis is based on a Poisson model that uses both error-free data and error-prone data subject to misclassification in the form of false-negative and false-positive counts. We present maximum likelihood estimators (MLEs), Fisher's Information, and Wald statistics for Poisson rate parameter …
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Examining the accuracy of the normal approximation to the poisson random variable
<p>Because the Poisson distribution is discrete, it is sometimes useful to use the continuous normal distribution as an approximation. In doing so, determining the accuracy of the approximation is important. Some issues of interest include: knowing how the error depends on the Poisson parameter, …
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Variance reduction for Poisson and Markov jump processes
… reduction techniques to the generation of Poisson variates in the tau-leaping time-stepping method for Markov processes. Both antithetical and stratified sampling variance-reduction techniques are considered for Poisson mean estimation, and a hybridization of them is developed that has …
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On the Optimality of Several Algorithms on Polynomial Regression of Empicial Bayes Poisson Model
The empirical Bayes estimator for the Poisson mixture model in [1], [2] has been an important problem studied for the past 70 years. In this thesis, we investigate extensions of this problem to estimating polynomial functions of the Poisson parameter rather than just the parameter itself. We …