JSM 2004 - Toronto

Abstract #300687

This is the preliminary program for the 2004 Joint Statistical Meetings in Toronto, Canada. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2004); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

To View the Program:
You may choose to view all activities of the program or just parts of it at any one time. All activities are arranged by date and time.

The views expressed here are those of the individual authors
and not necessarily those of the ASA or its board, officers, or staff.

Back to main JSM 2004 Program page
Activity Number: 345
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 12:00 PM to 1:50 PM
Sponsor: Section on Statistical Education
Abstract - #300687
Title: Finitizing Power Series Distributions
Author(s): Martin S. Levy*+ and Saeed Golnabi
Companies: University of Cincinnati and Mellon Financial Corporation
Address: Dept. of Quantitative Analysis, Cincinnati, OH, 45221,
Keywords: discrete distribution ; infinite support ; finite support ; Taylor series expansion ; moments ; matching distribution
Abstract:

We introduce a methodology called finitization that converts an infinitely supported discrete power series distribution into another distribution having support of specified finite size, and one having finite support into a density with an even smaller sized support. We illustrate the methodology with four well-known power series distributions: Poisson, negative binomial, binomial, and logarithmic. An interesting moment-preserving property is presented, namely the first n moments of a finitized power series distribution coincide with those of its parent distribution. Some finitized distributions have interesting and unexpected applications. We offer suggestions on how to incorporate finitization into intermediate probability courses.

  • The address information is for the authors that have a + after their name.
  • Authors who are presenting talks have a * after their name.

Back to the full JSM 2004 program

JSM 2004 For information, contact jsm@amstat.org or phone (888) 231-3473. If you have questions about the Continuing Education program, please contact the Education Department.
Revised March 2004