32 citations · 78 across the 24 of their papers we have counts for
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math.PR2013★ 16 cited
Maxima of long memory stationary symmetric -stable processes, and self-similar processes with stationary max-increments
Takashi Owada, Gennady Samorodnitsky
We derive a functional limit theorem for the partial maxima process based on a long memory stationary -stable process. The length of memory in the stable process is parameterize…
math.PR2013
Limit Theory for the Sample Autocovariance for Heavy Tailed Stationary Infinitely Divisible Processes Generated by Conservative Flows
Takashi Owada
This study aims to develop the limit theorems on the sample autocovariances and sample autocorrelations for certain stationary infinitely divisible processes. We consider the case…