##Statistics Seminar##\\ Department of Mathematical Sciences
~~META:title =February 26, 2015~~
^ **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 |
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**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.