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A new three-parameter lifetime distribution with bathtub shape or increasing failure rate function and a flood data application

Title:

A new three-parameter lifetime distribution with bathtub shape or increasing failure rate function and a flood data application

Zhang, Rui (2004) A new three-parameter lifetime distribution with bathtub shape or increasing failure rate function and a flood data application. Masters thesis, Concordia University.

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Abstract

In this thesis, a new three-parameter lifetime distribution with bathtub shaped or increasing failure rate function is given by adding a shape parameter in the distribution which is suggested by Chen (2000). It can be used for modeling lifetime data from reliability, survival analysis and various extreme value data. The detailed analysis of this distribution includes density shapes, tail classification and character, hazard function shapes and the extremes and extreme spacings distributions. The confidence intervals for the parameters are discussed by using bootstrap method. Its application in modeling extreme value data is illustrated by the floods data of the Floyd River at James, Iowa.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Zhang, Rui
Pagination:viii, 55 leaves ; 29 cm.
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics and Statistics
Date:2004
Thesis Supervisor(s):Chaubey, Y. P
ID Code:8087
Deposited By:Concordia University Libraries
Deposited On:18 Aug 2011 14:14
Last Modified:18 Aug 2011 15:48
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