#### Presentation Title

Distribution of Interesting Order Statistics

#### Faculty Mentor

Dr. Anant Godbole

#### Mentor Home Department

Mathematics

#### Short Abstract

Prior results (from a mathematics competition) show that the expected value of the minimum element in a random sample of size r from {1,2,3,...,n} is (n+1) / (r+1) In my research, I've calculated the more complicated value of the variance of this quantity using standard and novel techniques from mathematical statistics. I will also present results obtained between now and April 24th and indicate directions for further research.

#### Category

Science and Technology

#### Start Date

24-4-2023 10:00 AM

#### End Date

24-4-2023 10:15 AM

#### Location

D.P. Culp Center Room 219

Distribution of Interesting Order Statistics

D.P. Culp Center Room 219

Prior results (from a mathematics competition) show that the expected value of the minimum element in a random sample of size r from {1,2,3,...,n} is (n+1) / (r+1) In my research, I've calculated the more complicated value of the variance of this quantity using standard and novel techniques from mathematical statistics. I will also present results obtained between now and April 24th and indicate directions for further research.