The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Abstract Details
Activity Number:
|
663
|
Type:
|
Contributed
|
Date/Time:
|
Thursday, August 4, 2011 : 10:30 AM to 12:20 PM
|
Sponsor:
|
Section on Physical and Engineering Sciences
|
Abstract - #302925 |
Title:
|
Fisher Information in Censored Samples from the Block-Basu Bivariate Exponential Distribution and Its Applications
|
Author(s):
|
Lira Pi*+ and Haikady Nagaraja
|
Companies:
|
The Ohio State University and The Ohio State University
|
Address:
|
304C Cockins Hall , Columbus , OH, 43210,
|
Keywords:
|
Fisher Information ;
Type II censoring ;
Bivariate Exponential Distribution ;
Concomitants of order statistics
|
Abstract:
|
Let $(X_{i:n}, Y_{[i:n]}), 1 \leq i \leq r < n,$ be the first $r$ order statistics and their concomitants of a random sample from the absolutely continuous Block-Basu bivariate exponential distribution with pdf having the form ${\lambda_1 \lambda (\lambda_2+\lambda_{12})}{(\lambda_1+\lambda_2)^{-1}} e^{-\lambda_1 x - (\lambda_2+\lambda_{12})y}$ when $0 \leq x < y$ and ${\lambda_2 \lambda (\lambda_1+\lambda_{12})}{(\lambda_1+\lambda_2)^{-1}} e^{-\lambda_2 y - (\lambda_1+\lambda_{12})x}$ when $0 \leq y < x$. We find the Fisher Information (FI) matrix in our type II right censored sample and examine the growth pattern of the FI relative to the total FI on $\lambda_1, \lambda_2$, {and} $\lambda_{12}$ as $r/n$ changes in (0,1) for finite and infinite sample sizes. We describe its implications on the design of censored trials. We also consider left and double censoring schemes.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2011 program
|
2011 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.