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Walker to Speak on “Order Statistics, Pascal’s Triangle, and the Pennsylvania Lottery”

Ernie Walker of the Mathematics Department will speak on “Order Statistics, Pascal’s Triangle, and the Pennsylvania Lottery” on Thursday, April 14, 2011, from 3:30 to 4:30 p.m. in Stright Hall, room 202.

Abstract

The minimum and maximum values in a random sample are two of the descriptive statistics reported by many types of statistical software. These are examples of order statistics.

In this talk, I will introduce some basic calculations involving order statistics for a continuous random variable, and then I will turn my attention to the Super 6, a defunct Pennsylvania Lottery game, and present an analysis of order statistics in the context of this game. As a part of this discussion, we will employ some inductive reasoning by examining patterns in Pascal’s Triangle, and then we will use math induction to prove our conjectures.

  • Mathematics Department
  • Stright Hall, Room 233
    210 South Tenth Street
    Indiana, PA 15705
  • Phone: 724-357-2608
  • Fax: 724-357-7908
  • Office Hours
  • Monday through Friday
  • 8:00 a.m. – 12:00 p.m.
  • 1:00 p.m. – 4:30 p.m.