Award Date

1-1-2005

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Malwane Ananda

Number of Pages

40

Abstract

Let k1, k2 be non-negative integers with k1 + k 2 ≥ 2; let X1, X 2,.. Xk1 ;Y1, Y2,.. Yk2 be mutually independent Poisson random variables with parameters lambda 1,lambda2,.. lk1 ; mu1, mu2,.. mk2 , respectively. In this article, we consider constructing confidence intervals for ratio of Poisson parameters q=l1˙l2 ˙l3&cdots;lk1 m1˙m2˙m 3&cdots;mk2 . For the ratio of two Poisson parameters q=l1m1 , an exact formula for confidence interval is given. A numerical method to obtain confidence interval for q=l1˙l2 ˙l3&cdots;lk1 m1˙m2˙m 3&cdots;mk2 is developed. Examples are given for each of the two cases.

Keywords

Confidence; Intervals; Parameters; Poisson; Ratio

Controlled Subject

Mathematics

File Format

pdf

File Size

778.24 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

Permissions

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Identifier

https://doi.org/10.25669/g7vn-k785


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