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Seminar
Department
of Systems Engineering and Engineering Management
The Chinese
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Title |
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Estimating Quantile Sensitivities |
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Speaker |
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Prof. Jeff Hong |
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Industrial Engineering and Logistics Management |
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Date |
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April 27th, 2007 (Friday) |
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4:30 p.m. - 5:30 p.m. |
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Venue |
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Room 513 |
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CUHK |
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Abstract:
Quantiles of a random
performance serve as important alternatives to the usual expected value. They
are used in financial industry as measures of risk and in service industry as
measures of service quality. To manage the quantile
of a performance, we need to know how changes in the input parameters affect
the output quantiles, which are called quantile sensitivities. In this paper we show that the quantile sensitivities can be written in the form of
conditional expectations. Based on the conditional-expectation form, we first
propose an infinitesimal-perturbation-analysis (IPA) estimator. The IPA
estimator is asymptotically unbiased, but it is not consistent. We then
obtain a consistent estimator by dividing data into groups and averaging the
IPA estimates of all groups. The estimator also satisfies a central limit
theorem for the i.i.d. data. The numerical results
show that the estimator works well for practical problems. |
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Biography:
Jeff Hong is an assistant professor in industrial
engineering and logistics management at The Hong Kong University of Science
and Technology. He received his Bachelor's degrees in automotive engineering
and industrial engineering from |
************************* ALL ARE WELCOME ************************
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Host |
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Prof. |
Tel |
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(852) 2603-5505 |
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Enquiries |
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Bolin Ding or Jeffrey Xu Yu |
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Department of Systems Engineering and Engineering
Management |
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CUHK |
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