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  • Sufficient Statistics

    This page introduces the definition of sufficient statistics and gives two examples of the use of factorization to prove sufficiency.

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  • The Cramer-Rao Lower Bound

    This page introduces the Cramer-Rao lower bound, discusses it's usefulness, and proves the inequality.

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  • Cramer-Rao Lower Bound: an Example

    This file applies the Cramer-Rao inequality to a binomial random variable to prove that the usual estimator of p is a minimum variance unbiased estimator.

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  • Statistical Inference

    This page contains course notes and homework assignments with solutions for a mathematical statistics class. The course covers statistical inference, probability, and estimation principles.

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  • Properties of an Estimator

    These slides address point estimation including unbiasedness and efficiency and the Cramer-Rao lower bound.

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  • Theoretical Underpinnings of the Bootstrap

    This page discusses the theory behind the bootstrap. It discusses the empirical distribution function as an approximation of the distribution function. It also introduces the parametric bootstrap.

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  • Advanced Statistics - Biology 603 - Lectures

    This site provides links to lecture outlines for an upper-level statistics class. Topics include hypothesis testing, ANOVA and regression.

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  • Advanced Statistics - Biology 603 - Labs

    This page lists the laboratories and java projects for a course in advanced statistics.

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  • Exploratory Data Analysis Case Studies (Engineering Statistics Handbook)

    This part of the NIST Engineering Statistics Handbook contains case studies for Exploratory Data Analysis. Some of the topics include normal and uniform random numbers, reliability using airplane glass failure times, and analysis of primary factors using ceramic strength.

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  • Electronic Statistics Textbook

    This Electronic Statistics Textbook offers training in the understanding and application of statistics ... and covers a wide variety of applications, including laboratory research (biomedical, agricultural, etc.), business statistics and forecasting, social science statistics and survey research, data mining, engineering and quality control applications, and many others. Quoted from the index page of the text.

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