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Sequential LND sensitivity test for binary response data
Authors:Lei Wang  Yukun Liu  Wei Wu
Institution:School of Finance and Statistics , East China Normal University , 500 Dongchuan Road, Shanghai , 200241 , People's Republic of China
Abstract:Sensitivity tests are used to make inferences about a sensitivity, a characteristic property of some products that cannot be observed directly. For binary response sensitivity data (dead or alive, explode or unexplode), the Langlie and Neyer are two well-known sensitivity tests. The priorities of the Langlie and Neyer tests are investigated in this paper. It is shown that the Langlie test has an advantage in getting an overlap, while the Neyer test has better estimation precision. Aiming at improving both the speed of getting an overlap and the estimation precision, we propose a new sensitivity test which replaces the first part of the Neyer test with the Langlie test. Our simulation studies indicate that the proposed test outperforms the Langlie, Neyer and Dror and Steinberg tests from the viewpoints of estimation precision and probability of obtaining an overlap.
Keywords:sensitivity test  D-optimality criterion  maximum likelihood estimate  Fisher information matrix  Langlie test  Neyer test
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