JSM 2005 - Toronto

Abstract #304874

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. 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, 2005); 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.

The Program has labeled the meeting rooms with "letters" preceding the name of the room, designating in which facility the room is located:

Minneapolis Convention Center = “MCC” Hilton Minneapolis Hotel = “H” Hyatt Regency Minneapolis = “HY”

Back to main JSM 2005 Program page
Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 206
Type: Invited
Date/Time: Tuesday, August 9, 2005 : 8:30 AM to 10:20 AM
Sponsor: SSC
Abstract - #304874
Title: Bivariate Markov Chain Embeddable Variables of Polynomial Type and Applications
Author(s): Markos Koutras*+ and D. L. Antzoulakos and S. Bersimis
Companies: University of Piraeus and University of Piraeus and University of Piraeus
Address: 80 Karaoli Dimitriou Street, Piraeus, 18534, Greece
Keywords: Markov chain embeddable ; Run-related statistics ; Exact distribution
Abstract:

Fu and Koutras (1994) developed a unified method for capturing the exact distribution of the number X_{n} of runs of specified length in a sequence of n independent Bernoulli trials by employing a Markov chain embedding technique. Koutras and Alexandrou (1995) refined the above method by expressing the probability mass function of X_{n} in terms of multidimensional binomial type probability vectors by introducing the concept of Markov chain embeddable variables of Binomial Type. Recently, Antzoulakos et al. (2003) introduced the notion of a Markov chain embeddable variable of Polynomial Type in a way similar to the one used by Koutras and Alexandrou (1995). In this work, we introduce and study a bivariate extension of the Markov chain embeddable variable of Polynomial Type. The exact distribution of certain run-related statistics is explored and tools are developed for the evaluation of their probability mass function and moments. Finally, a discussion is carried out about the potential application of our theoretical results in molecular biology problems.

  • 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 2005 program

JSM 2005 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 2005