notes-08-30

notes-08-30 - M4056 Lecture Notes. August 30, 2010 Section...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M4056 Lecture Notes. August 30, 2010 Section 5.1. A basic task of statistics is to obtain knowledge of a population from observations of samples. To make the process rigorous, we create a probabilistic model of a random sample. A random sample of size n is modeled by a collection of random variables X 1 , . . ., X n that are mutually independent an all have the same distribution, f . Such a collection is said to be iid independent and identically distributed. Examples: 1. We take n beads from a large jar and observe whether the color is red or not. Let X i = 0 if the i th bead is not red and let X i = 1 if it is red. In a random sample, we expect the colors of the beads other than the i th have no influence on the color of the i th , and we expect the probability of being red to be the same for all i . (If we drew beads without replacement from a small jar, then we would violate the assumptions badly.) 2. For each possible height range, there is a definite probability of a random LSU student2....
View Full Document

This note was uploaded on 11/29/2011 for the course MATH 4056 taught by Professor Staff during the Fall '08 term at LSU.

Ask a homework question - tutors are online