Abstract We use moderate deviations to study the signal detection problem for a diffusion model. We establish a moderate deviation principle for the log-likelihood function of the diffusion model. Then applying the mo...Abstract We use moderate deviations to study the signal detection problem for a diffusion model. We establish a moderate deviation principle for the log-likelihood function of the diffusion model. Then applying the moderate deviation estimates to hypothesis testing for signal detection problem we give a decision region such that its error probability of the second kind tends to zero with faster speed than the error probability of the first kind when the error probability of the first kind is approximated by e-ατ（T）, where α〉 0, τ（T） = o（T） and τ（T）→∞ as the observation time T goes to infinity.展开更多
In this paper, the distribution of the phase deviations for the ghosting of Vernier based imagers is provided. The equality of the phase errors is shown. The relationship between the charge noise amplitude of electrod...In this paper, the distribution of the phase deviations for the ghosting of Vernier based imagers is provided. The equality of the phase errors is shown. The relationship between the charge noise amplitude of electrodes and the total charge noise amplitude is provided. The relationship between the phase error and the total charge noise amplitude is also provided, which reveals the magnitude of 10 4 electrons for the ghosting occurrence threshold for the 4-coarse-pixel anode imagers.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos.10871153 and 11171262)the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200804860048)
文摘Abstract We use moderate deviations to study the signal detection problem for a diffusion model. We establish a moderate deviation principle for the log-likelihood function of the diffusion model. Then applying the moderate deviation estimates to hypothesis testing for signal detection problem we give a decision region such that its error probability of the second kind tends to zero with faster speed than the error probability of the first kind when the error probability of the first kind is approximated by e-ατ（T）, where α〉 0, τ（T） = o（T） and τ（T）→∞ as the observation time T goes to infinity.
基金the National Natural Science Foundations of China (Grant Nos. 10878005/A03 and 61007017)
文摘In this paper, the distribution of the phase deviations for the ghosting of Vernier based imagers is provided. The equality of the phase errors is shown. The relationship between the charge noise amplitude of electrodes and the total charge noise amplitude is provided. The relationship between the phase error and the total charge noise amplitude is also provided, which reveals the magnitude of 10 4 electrons for the ghosting occurrence threshold for the 4-coarse-pixel anode imagers.
