Probability Theory and Statistics 2 — University of Amsterdam
Exam analysis, topic ranking, study map, exam strategy
1Bivariate Foundations9/10Joint pmf/pdf, marginals, support identification
2Conditional & Covariance9/10Conditional distributions, factorisation, covariance
3Non-Rectangular Supports9/10Integration over triangular/curved regions
4Transformations8/10CDF method, Jacobian, support transformation
5Order Statistics7/10Min/max CDFs, k-th order derivation from scratch
6Sampling Distributions8/10Chi-squared, t, F distributions from standard normals
7Point Estimation6/10Method of Moments, Maximum Likelihood Estimation
8CI: One-Sample9/10z-interval, t-interval, proportion CI, pivot method
9CI: Two-Sample8/10Two-sample z-CI, F-ratio variance interval
10Hypothesis Testing10/106-step protocol, z/t/p-value tests, Type I/II errors
11Power of a Test8/10Power function, increasing power, sample size
12Two-Sample Tests9/10Two-sample z-test, pooled proportion, non-zero Delta