Optimal designs for multiresponse models and robust optimal designs for estimating extreme quantiles in binary response experiment
碩士 === 國立中山大學 === 應用數學系 === 87 === In Chapter 1, we consider D-, A- and Ds-optimal design problems in linear regression models with a one-dimensional control variable and k-dimensional response variable Y=(Y1,...,Yk) which have some common parameters. The D- and Ds-o...
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| Format: | Others |
| Language: | en_US |
| Published: |
1999
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| Online Access: | http://ndltd.ncl.edu.tw/handle/67019883698821804535 |
| Summary: | 碩士 === 國立中山大學 === 應用數學系 === 87 === In Chapter 1, we consider D-, A- and Ds-optimal design problems in linear regression
models with a one-dimensional control variable and k-dimensional response variable
Y=(Y1,...,Yk) which have some common parameters. The D- and Ds-optimal designs
obtained are independent of the covariance structure. The A-optimal designs in some low
degree cases are also found explicitly which depend on the covariance structure.
In Chapter 2, we consider model robust design criterion for estimating extreme quantiles
in binary response experiment if there is uncertainly on the true model. We find the
model robust optimal designs are very efficient for the cases studied. We also propose
quantile robust design criterion as well as model and quantile robust design criterion,
and examples are given to illustrate use of these criteria.
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