
2DRandom Variables
Let X and Y be two random variables defined on the same sample space S. Then the function (X,Y) that assigns a point in is called a two dimensional random variable. Examples: Joint CDF of (X,Y): The joint cdf of (X,Y) is defined as: Properties of CDF: Proof of Property 1: PROOF OF PROPERTY 2:…

Censoring Schemes
Many researchers consider survival data analysis to be merely the application of two conventional statistical methods to a special type of problem: parametric if the distribution of survival times is known to be normal and nonparametric if the distribution is unknown. This assumption would be true if the survival times of all the subjects were exact and…