Learn about order statistics, including summation formulas for integers, deriving joint probability density functions, using R for calculations, and conducting normality tests. The course teaches skills such as calculating confidence intervals, creating QQ-plots, and understanding the joint distribution of order statistics. The teaching method involves theoretical explanations and practical illustrations using R. This course is intended for individuals interested in statistics, data analysis, and using R for statistical computations.
Overview
Syllabus
Summation Formulas for Integers.
Nth Order Statistic from a Uniform Converges in Distribution to an Exponential.
Transformations: Derive the Joint pdf of Order Statistics.
Discrete Order Statistics with Illustration using R.
Using R for a 95% CI for Population Median using Sample Order Statistics.
CI for Population Median using Order Statistics.
Using R: QQ-Plots versus Rankit Plots..
Using R: Shapiro-Wilk Normality Test.
Moments of Order Statistics from a Unif[0,1] Distribution.
Joint Distribution of the Mid-Range and the Range.
Taught by
statisticsmatt
