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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 BlockBasu 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 BlockBasu 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.

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