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

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Apr 24th, 10:00 AM Apr 24th, 10:15 AM

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.