12 citations · 93 across the 37 of their papers we have counts for
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math.ST2020★ 4 cited
Characterizations of the Cauchy distribution associated with integral transforms
Kazuki Okamura
We give two new simple characterizations of the Cauchy distribution by using the Möbius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution…
math.PR2020★ 2 cited
An equivalence criterion for infinite products of Cauchy measures
Kazuki Okamura
We give an equivalence-singularity criterion for infinite products of Cauchy measures under simultaneous shifts of the location and scale parameters. Our result is an extension of…