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Statistics Seminar
Department of Mathematical Sciences
| DATE: | Thursday, February 26, 2015 | 
|---|---|
| TIME: | 1:15pm to 2:15pm | 
| LOCATION: | WH 100E | 
| SPEAKER: | Lin Yao (Binghamton University) | 
| TITLE: | Proof of order-two asymptotic efficiency of the Chow-Robbins sequential procedure to construct a fixed-width confidence interval for the unknown mean of a normal distribution with unknown variance | 
Abstract
We will show that the Chow-Robbins sequential procedure to construct a fixed-width confidence interval for the unknown mean of a normal distribution with unknown variance is asymptotically (as the length of the confidence interval shrinks to zero) efficient of the second order.