Umit Islak

most citedAsymptotic Normality of Random Sums of m-dependent Random Variables

6 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2013★ 1 cited

Descent-Inversion Statistics in Riffle Shuffles

Umit Islak

This paper studies statistics of riffle shuffles by relating them to random word statistics with the use of inverse shuffles. Asymptotic normality of the number of descents and inv…

math.PR2013★ 6 cited

Asymptotic Normality of Random Sums of m-dependent Random Variables

Umit Islak

We prove a central limit theorem for random sums of the form $\sum_{i = 1}^{N_{n}} X_{i}$ , where ${X_{i}}_{i \geq 1}$ is a stationary $m -$ dependent process and $N_{n}$ is a random index in…