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Introduction to Mathematical Statistics
Advanced undergraduate probability

Foreword
  A statistician is a mathematician broken down by age and sex.
  What does a statistician call it when the heads of 10 rats are cut off and 1 survives? Non-significant.

Final Exam with solutions
We provide the comprehensive final exams, and the detailed solutions with step by step explaination, plus the final grading rules!
Final Exam 1 with solutions   Final Exam 2 with solutions   Final Exam 3 with solutions
Final Exam 4 with solutions   Final Exam 5 with solutions   Final Exam 6 with solutions


Midterm Exam with solutions
Midterm 1 with solutions   Midterm 2 with solutions   Midterm 3 with solutions

We provide the example-demonstrated lecture notes, step by step explaination.

Practice Quiz with solutions
Quiz 1 with solutions   Quiz 2 with solutions   Quiz 3 with solutions   Quiz 4 with solutions   Quiz 5 with solutions


Homework with Step by Step Solutions
We provide detailed homework with step by step explaination.

      Homework With Solutions 01: Moment Generating Functions
      Homework With Solutions 02: Joint Probability, Independent Variables
      Homework With Solutions 03: Product Rule, Independence
      Homework With Solutions 04: Sampling from normal distribution
      Homework With Solutions 05: Binomial Distribution

      Homework With Solutions 06: Central Limit Theorem, Point Estimation
      Homework With Solutions 07: Inference on two population variances
      Homework With Solutions 08: Order Statistics, Mean Squared Error
      Homework With Solutions 09: Cramer-Rao lower bound
      Homework With Solutions 10: Pivotal Quantity, Efficient Estimator

      Homework With Solutions 11: Sample size estimation
      Homework With Solutions 12: Inference on two independent population
      Homework With Solutions 13: Hypothesis Testing
      Homework With Solutions 14: P-value & Power of the Test
      Homework With Solutions 15: The Likelihood Ratio Test

      Homework With Solutions 16: Test on one population proportion
      Homework With Solutions 17: Test on two population means
      Homework With Solutions 18: Inference on several proportions


  Why did the statistician become a statistician? He found accountancy too exciting.

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