A study on the lotto system and a new multivariate geometric distribution

Date of Publication

2000

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This thesis presents a comprehensive study of the general lotto system, r out of 8 lottery . The researchers provided the derivations of the formulas given in the article, Drawings since hit tables in lotteries' and a new multivariate geometric distribution . In deriving the new multivariate geometric distribution, concepts from the univariate, bivariate, and trivariate case were used.

The new multivariate geometric distribution was used in coming up with the distribution of the maximum outstanding time. The outstanding time is the number of draws required for a number to be selected. Each number has its corresponding outstanding time, and the maximum outstanding time is the highest among all outstanding times. Its distribution and expectation were derived to get the average waiting time of each number in a lottery.

A study of Luzon Lotto 6/42 was also conducted by applying the results or the derived formulas on the data gathered from March 8, 1995 until May 30, 2000. In the last chapter, the researchers explained the significance of the results.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10027

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

125 leaves

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