Introduction to Mathematical Statistics, Autumn 2026: practice quizzes and animated slides
Quizzes use spaced repetition; progress is saved in this browser. Slides: press → to step, F for full screen. Built from my course study guides.
STAT 509 week 1: probability foundations
Axioms, set relationships, Bonferroni, conditional probability, independence, sampling, continuity
104 questions · Axioms, complements, partitions · Set operations, atoms, De Morgan · Bonferroni, union bound, subset inequalities · Exclusive vs independent, feasible range · Conditional probability · Ratios of counts, max vs sup · Potential outcomes, randomization · Sampling with/without replacement · Increasing events, continuity, series
SlidesGrowing events and the limit of probabilities
Nested events, the new pieces, telescoping sums, right-continuity of a CDF
Animated deck · → to step · F full screen · 10 MB
STAT 509 self-test: calculus drills
Integrals, by parts, double integrals, partial derivatives, series, limits, optimization
80 questions · Integrals and F(b) − F(a) · Substitution · By parts, improper integrals · Double integrals · Partial derivatives · Series · Limits · Stationary points, logs, score
SlidesWhat an integral is, and why F(b) − F(a)
Area as a limit of rectangle sums, why the +C drops out, substitution
Animated deck · → to step · F full screen · 12 MB