JSM 2011 Online Program

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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.


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