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Tables of Contents for Modern Mathematical Statistics

Chapter/Section Title

Page #

Page Count

Naive Set Theory.

Probability.

Random Variables: Discrete Case.

Random Variables: Continuous and Mixed Cases.

Moments.

Sums of Random Variables, Probability Inequalities, and Limit Laws.

Point Estimation.

Data Reduction and Best Estimation (Sufficiency, Completeness, and UMVUE's).

Tests of Hypotheses.

Interval Estimation.

Ranking and Selection Procedures.

Decision Theory.

Nonparametric Statistical Inference.

Regression and Linear Statistical Inference; Analysis of Variance.

Robust Statistical Procedures.

Statistical Tables.

Index