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Prediction intervals in exponential families
Authors:Mostafa S. Aminzadeh
Affiliation:Department of Mathematics , Towson State University , Towson, MD, 21204
Abstract:A method for obtaining prediction intervals for an outcome of a future experiment is presented. The method uses hypothesis testing as a tool to derive prediction intervals and assumes that the probability distributions of informative and future experiments are one parameter exponential families. Asymptotic similar mean coverage prediction intervals are derived using the score test as a test statistics. Examples are presented and asymptotic prediction limits are compared with the prediction limits given in the literature.
Keywords:Maximum likelihood estimate  prediction intervals  score test  similar mean coverage
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