## MATH 727. Probability Theory. 3 Hours.

A mathematical introduction to premeasure-theoretic probability. Topics include probability spaces, conditional probabilities and independent events, random variables and probability distributions, special discrete and continuous distributions with emphasis on parametric families used in applications, the distribution problem for functions of random variables, sequences of independent random variables, laws of large numbers, and the central limit theorem. Prerequisite: MATH 223 and MATH 290, or equivalent. LEC.

## Bachelor of Science in Mathematics

http://catalog.ku.edu/liberal-arts-sciences/math/bs/

**...**sequences: **MATH** **727** and **MATH** 728 ; **MATH** 765 and **MATH** 766 ; **MATH** 781 and **MATH****...**

## Bachelor of Arts in Mathematics

http://catalog.ku.edu/liberal-arts-sciences/math/ba/

**...**sequences: **MATH** **727** and **MATH** 728 ; **MATH** 765 and **MATH** 766 ; **MATH** 781 and **MATH****...**

## Master of Arts in Mathematics

http://catalog.ku.edu/liberal-arts-sciences/math/ma/

**...**Course equivalents to **MATH** **727** , **MATH** 765 , **MATH** 781 , **MATH** 790 , or **MATH** 791 may**...**

## Doctor of Philosophy in Mathematics

http://catalog.ku.edu/liberal-arts-sciences/math/phd/

**...**Curves **MATH** 920 Lie Groups and Lie Algebras Applied Mathematics This track requires: **MATH** **727****...**

## Doctor of Philosophy in Business

http://catalog.ku.edu/business/phd/

**...**I **MATH** 715 Sampling Techniques **MATH** 717 Nonparametric Statistics **MATH** 722 Mathematical Logic **MATH** **727****...**

## Doctor of Philosophy in Economics

http://catalog.ku.edu/liberal-arts-sciences/economics/phd/

**...**ECON 818 Econometrics II 3 **MATH** **727** Probability Theory 3 **MATH** 728 Statistical Theory 3**...**