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math.PR2026
Asymptotic estimates for multiple point ranges of transient random walks on graphs
Kazuki Okamura
We study multiple point ranges for random walks on graphs, extending known asymptotic results obtained for random walks on groups. A distinctive feature is that algebraic and trans…
math.PR2026
A remark on the comparison of the sum and the maximum of positive random variables
Kazuki Okamura
We disprove a conjecture stated in a recent paper by Arnold and Villasenor concerning the sum and the maximum of independent and identically distributed half-normal random variable…
math.PR2024
Power means of random variables and characterizations of distributions via fractional calculus
Kazuki Okamura, Yoshiki Otobe
We investigate fractional moments and expectations of power means of complex-valued random variables by using fractional calculus. We deal with both negative and positive orders of…