4 papers
Analyzing the Spotify Top 200 Through a Point Process Lens
Michelangelo Harris, Brian Liu, Cean Park +6
Every generation throws a hero up the pop charts. For the current generation, one of the most relevant pop charts is the Spotify Top 200. Spotify is the world's largest music strea…
Matrix Calculations for Moments of Markov Processes
Andrew Daw, Jamol Pender
Matryoshka dolls, the traditional Russian nesting figurines, are known world-wide for each doll's encapsulation of a sequence of smaller dolls. In this paper, we identify a large c…
An Ephemerally Self-Exciting Point Process
Andrew Daw, Jamol Pender
Across a wide variety of applications, the self-exciting Hawkes process has been used to model phenomena in which the history of events influences future occurrences. However, ther…
On the Distributions of Infinite Server Queues with Batch Arrivals
Andrew Daw, Jamol Pender
Queues that feature multiple entities arriving simultaneously are among the oldest models in queueing theory, and are often referred to as "batch" (or, in some cases, "bulk") arriv…