12 citations
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math.PR2023
A Subgeometric Convergence Formula for Total-variation Error of the Level-increment Truncation Approximation of M/G/1-type Markov Chains
Katsuhisa Ouchi, Hiroyuki Masuyama
This paper considers the level-increment (LI) truncation approximation of M/G/1-type Markov chains. The LI truncation approximation is usually used to implement Ramaswami's recursi…
math.PR2015★ 8 cited
On the Refracted-Reflected Spectrally Negative Lévy Processes
José-Luis Pérez, Kazutoshi Yamazaki
We study a combination of the refracted and reflected Lévy processes. Given a spectrally negative Lévy process and two boundaries, it is reflected at the lower boundary while, when…