Professor Emeritus, Department of Statistics, University of Manitoba

“Distribution of number of Levels in [s]-specified random permutation: A finite Markov Chain Imbedding Approach”

Date: Thursday, March 7, 2019
Time: 2:45 p.m.
Location: P230 Duff Roblin

Successions, Eulerian and Simon Newcomb numbers, and levels are the most celebrated patterns associated with random permutations. The distribution of the number of rises had been studied as early as 1755 by Euler. However, the distribution of the number of levels in [s]-speci ed random permutation remained unknown for centuries. In this manuscript, our main goal is to nd the distribution of the number of levels by using the nite Markov chain imbedding technique and insertion procedure. An example is given to illustrate the theoretical result.

Important Dates

February 18: Louis Riel Day (University Closed)

February 18 – February 22: Reading Week (No classes)

Upcoming Seminars

Statistics seminar: Aleeza Gerstein: “Levelling up R for Statistical Research and Teaching (Vignettes from RStudio::Conf)” — Thursday, February 28 at 2:45 p.m., P230 Duff Roblin.

Statistics seminar: Jame Fu: “Distribution of number of Levels in [s]-specified random permutation: A finite Markov Chain Imbedding Approach” — Thursday, March 7 at 2:45 p.m., P230 Duff Roblin.

Statistics seminar: Alison Gibbs: “Teaching Statistics in a Data Science World” — Thursday, March 21 at 2:45 p.m., P230 Duff Roblin.

Where are they now?

John Petkau, B.Sc. Mathematics & Statistics (1971)

Mostofa Sarkar, M.Sc. (2012)