Topic: Ranks, Spacings, and Empirical Laws

Spacings from General Continuous Samples

Rank Invariance Under Monotone Transformations

Rank Variables Under Continuous Sampling

Quantile Bracketing Probabilities from Binomial Counts

Plotting Positions from Uniform Order-Statistic Means

Moments and Covariances of Uniform Spacings

Joint Empirical CDF Values and Multinomial Increments

Independence of Ranks and Order Statistics

Generalized Inverses and Empirical Quantile Conventions

Empirical CDF Values at Observations and Their Ranks