Toolbox Essays
The essays linked below have been written by teams of students in Statistics 531 in the Spring of 2015. The essays are the copyrighted property of the teams of individuals who have written them.
The hope is that these essays are of use to the students in the class and to the students of probability more generally. Anyone who whishes to comment on any aspect of these essays is encouraged to contact me --- JMS.
Phase Two Essays--- March 15, 2015
- What's a Lengendre-Fenchel Transformation and Why Should I Care by Hasegawa and Karmarkar
- A Note on the Maximum of a Random Walk with Negative Drift by Zhang and Dong
- A Proof of Convergence for the Stochastic Gradient Descent Method by Fazlyab, Gamma, and Paternain
- Note on Stable and Mixing Convergence of Random Variables by Team Monkey D
- The Frobenius Number of a Numerical Semigroup with Two Generators by Team Penn Steele Workers' Union
- Hitting Time Equation by Team WXY
- Kakutani's Use of 2-Dimensional Brownian Motion as Applied to Harmonic Functions
Phase One Essays---February 10, 2015 (with up-dates as provided)
- Limiting Properties on the Number of Leaves in Barabasi-Albert Model by Team Mr.-J.
- Generalizations of Cauchy Schwarz in Probability Theory by Team Philadelphia Big 5(31)
- Feller Proof of the Arcsine Law --- The Essential Steps by Team Penn's Steele Workers Union
- Iterative Problem Solving by Team Scientific Dragons
- Survey of the Vitali Hahn Saks Theorem by Team MonkeyD
- Convergence of Maxima by Team Rioplatense Coalition
- Blackwell's Renewal Theorem and Power Series by Team XYZ
- Pi-Lambda by Team Solitary Undergraduate