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Andrew B. Nobel

Andrew B. Nobel

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STOR 555 Lecture Notes

Review and Background

Some Key Continuous Distributions

Decision Theory

Distribution Families

Sufficiency and Data Reduction

Minima and Maxima

Conditional Expectations and Variances

Point Estimation

Percentiles

Hypothesis Testing

Confidence Intervals and Sets

Convex Functions and Jensen’s Inequality

Means, Variances, and the Law of Large Numbers

Order Statistics

Hoeffding’s Inequality

James Stein Shrinkage Estimates of Normal Means

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