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A study of bivariate exponential and...

Zhang, Yu.

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A study of bivariate exponential and Weibull distributions on matched pair data.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A study of bivariate exponential and Weibull distributions on matched pair data./
Author:	Zhang, Yu.
Description:	65 p.
Notes:	Source: Masters Abstracts International, Volume: 45-02, page: 0900.
Contained By:	Masters Abstracts International45-02.
Subject:	Statistics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR20248
ISBN:	9780494202487

A study of bivariate exponential and Weibull distributions on matched pair data.
Zhang, Yu.

A study of bivariate exponential and Weibull distributions on matched pair data. - 65 p.

Source: Masters Abstracts International, Volume: 45-02, page: 0900.

Thesis (M.Sc.)--The University of Regina (Canada), 2006.

Two important bivariate distributions are discussed in this thesis: bivariate exponential distribution (BVE) and bivariate Weibull distribution (BVW). The thesis mainly focuses on their properties, estimators and hypothesis tests. The hazard functions and the marginal functions are given, correlation is derived and scatter-plots are drawn according to the model.

ISBN: 9780494202487Subjects--Topical Terms:

517247
Statistics.

A study of bivariate exponential and Weibull distributions on matched pair data.
LDR:02462nam 2200277 a 45 001 963993
005 20110831
008 110831s2006 ||||||||||||||||| ||eng d
020 $a 9780494202487
035 $a (UMI)AAIMR20248
035 $a AAIMR20248
040 $a UMI $c UMI
100 1 $a Zhang, Yu. $3 1057601
245 1 2 $a A study of bivariate exponential and Weibull distributions on matched pair data.
300 $a 65 p.
500 $a Source: Masters Abstracts International, Volume: 45-02, page: 0900.
502 $a Thesis (M.Sc.)--The University of Regina (Canada), 2006.
520 $a Two important bivariate distributions are discussed in this thesis: bivariate exponential distribution (BVE) and bivariate Weibull distribution (BVW). The thesis mainly focuses on their properties, estimators and hypothesis tests. The hazard functions and the marginal functions are given, correlation is derived and scatter-plots are drawn according to the model.
520 $a Traditional maximum likelihood method is employed as the first method to find estimators. The estimation is close to true value, even though the method itself needs an iteration algorithm. The second method of estimation is the gamma method. A closed forth of estimator is derived by the gamma method. Inferences can be made from the asymptotic normal distribution property of the parameters.
520 $a Two types of hypothesis tests are considered in the thesis: the independence test and the symmetry test. The independence of matched pair lifetimes is tested in the independent test. The power of the test is given to illustrate the strength of the independence test. The purpose of the symmetry test is to test whether the shocks to two models are equal or not. Results for both one-sided and two-sided hypothesis tests are given.
520 $a Simulation studies are derived based on the methods developed in the thesis. Estimations are fairly close to the true values according to the proposed estimation method. As the sample size becomes larger, the variance becomes smaller. Simulation studies for the hypothesis tests show that the test statistics properly maintain the nominal value. The computer program used is the R program, which is a free software that can be downloaded at www.r-project.org .
590 $a School code: 0148.
650 4 $a Statistics. $3 517247
690 $a 0463
710 2 $a The University of Regina (Canada). $3 1017617
773 0 $t Masters Abstracts International $g 45-02.
790 $a 0148
791 $a M.Sc.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR20248