St. Lawrence University

Mathematics, Compuer Science & Statistics

Emily Sheldon
Advisor: Dr. Michael Schuckers
Honor Project Fall 2005

"Sequential Analysis for the Beta-Binomial "

Abstract: In th is paper we attempt to derive an equation from the Beta-binomial distribution that can be used to apply sequential probability ratio testing to biometric devices. WE first examine sequential analysis testing methods and thena pply them to t examples of multiple independent bernoulli trials. We use these exmples to ilustrate the decision of when to stop testing. Lastly, we examine the Beta-binomial distribution and derive an equation that can be u sed in sequential analysis methodology.

Table of Contents
1. Introduction
2.1
Traditional Statistical Testing
2.2 Sequential Analysis TEsting
2.3 Notation

3. Sequential Probability Ratio Test

4. Bernoulli Example

4.1 Example 1
4.2
Example 2
4.3
Examples 3 and 4

5. The Beta-Binomial Distribution

6. Conclusion

Bibliography

 

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Created March 7, 2006
Peg Barkley
Math, CS & Stats. Department
St. Lawrence University