Theory of Statistics 1
VOL. IMAR 2026
Distributions of Functions of Random Variables.
A rigorous exploration of discrete variable transformations, derived from the Spring 2021 lectures by Prof. Reda Mazloum.
"To understand God's thoughts we must study statistics, for these are the measure of His purpose."— Florence Nightingale
Lecture
Distributions of Functions of Discrete R.V.s (Univariate)
Univariate Transformations, 1-to-1 mappings, and Summation Methods
Lecture
Bivariate & Trivariate Discrete Transformations
Direct Summation, Auxiliary Variables, and Convolutions
More lectures coming soon...
Ongoing transcription