Which Advanced Math Courses Prepare a Math Major for Statistics?

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SUMMARY

To prepare for a career in statistics, a math major should focus on advanced courses such as Probability Theory, Real Analysis, and Measure Theory. These subjects provide a solid foundation for understanding statistical concepts and methodologies. Rigorous statistics books recommended include "Statistical Inference" by Casella and Berger, which is suitable for those comfortable with proofs. Mastery of these topics is essential for success in advanced statistical studies.

PREREQUISITES
  • Probability Theory
  • Real Analysis
  • Measure Theory
  • Statistical Inference
NEXT STEPS
  • Study "Statistical Inference" by Casella and Berger
  • Explore advanced topics in Measure Theory
  • Learn about Bayesian Statistics
  • Research the applications of Real Analysis in statistical methods
USEFUL FOR

Math majors, aspiring statisticians, and anyone seeking a rigorous understanding of statistical theory and its applications.

SrVishi
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Hello, I am looking to learn statistics. What would be a good rigorous statistics book for someone who is completely comfortable with proofs?
 
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Have you already learned probability theory?
 
No
 
Measure theory? Analysis? Can you list all courses you've taken/comfortable with?
 

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