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math.ST2024
Layered Hill estimator for extreme data in clusters
Taegyu Kang, Takashi Owada
A new estimator is proposed for estimating the tail exponent of a heavy-tailed distribution. This estimator, referred to as the layered Hill estimator, is a generalization of the t…
math.PR2024
Degree counts in random simplicial complexes of the preferential attachment type
Takashi Owada, Gennady Samorodnitsky
We extend the classical preferential attachment random graph model to random simplicial complexes. At each stage of the model, we choose one of the existing -simplices with prob…