Search Results - "Noba, Kei"
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1
On the optimality of double barrier strategies for Lévy processes
Published in Stochastic processes and their applications (01-01-2021)“…This paper studies de Finetti’s optimal dividend problem with capital injection. We confirm the optimality of a double barrier strategy when the underlying…”
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2
On the optimality of the refraction–reflection strategies for Lévy processes
Published in Stochastic processes and their applications (01-06-2023)“…In this paper, we study de Finetti’s optimal dividend problem with capital injection under the assumption that the dividend strategies are absolutely…”
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3
Approximation and Duality Problems of Refracted Processes
Published in Potential analysis (01-08-2020)“…For given two standard processes with no positive jumps, we construct, using excursion theory, a Markov process whose positive and negative motions have the…”
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4
On optimal periodic dividend and capital injection strategies for spectrally negative Lévy models
Published in Journal of applied probability (01-12-2018)“…De Finetti’s optimal dividend problem has recently been extended to the case when dividend payments can be made only at Poisson arrival times. In this paper we…”
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5
Generalized scale functions of standard processes with no positive jumps
Published in Electronic communications in probability (01-01-2020)Get full text
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Optimal dividends and capital injection: A general Lévy model with extensions to regime-switching models
Published in Insurance, mathematics & economics (01-11-2024)“…This paper studies a general Lévy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the…”
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On optimal periodic dividend strategies for Lévy risk processes
Published in Insurance, mathematics & economics (01-05-2018)“…In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson…”
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8
On the bailout dividend problem with periodic dividend payments for spectrally negative Markov additive processes
Published in Nonlinear analysis. Hybrid systems (01-05-2023)“…This paper studies the bailout optimal dividend problem with regime switching under the constraint that dividend payments can be made only at the arrival times…”
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9
Scale functions of space-time changed processes with no positive jumps
Published 17-09-2023“…The scale functions were defined for spectrally negative L\'evy processes and other strong Markov processes with no positive jumps, and have been used to…”
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10
On the optimality of the refraction--reflection strategy for L\'evy processes
Published 18-10-2021“…In this paper, we study de Finetti's optimal dividend problem with capital injection under the assumption that the dividend strategies are absolutely…”
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11
Analytic property of generalized scale functions for standard processes with no negative jumps and its application to quasi-stationary distributions
Published 19-08-2023“…For a generalized scale function of standard processes, we characterize it as a unique solution to a Volterra type integral equation. This allows us to extend…”
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On stochastic control under Poisson observations: optimality of a barrier strategy in a general L\'evy model
Published 02-10-2022“…We study a version of the stochastic control problem of minimizing the sum of running and controlling costs, where control opportunities are restricted to…”
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13
On the optimality of double barrier strategies for L\'evy processes
Published 16-08-2019“…This paper studies de Finetti's optimal dividend problem with capital injection. We confirm the optimality of a double barrier strategy when the underlying…”
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14
Approximation and duality problems of refracted processes
Published 14-06-2018“…For given two standard processes with no positive jumps, we construct, using the excursion theory, a Markov process whose positive and negative motions have…”
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15
Generalized scale functions of standard processes with no positive jumps
Published 22-11-2017“…As a generalization of scale functions of spectrally negative L\'evy processes, we define scale functions of general standard processes with no positive jumps…”
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On singular control for L\'evy processes
Published 07-08-2020“…We revisit the classical singular control problem of minimizing running and controlling costs. The problem arises in inventory control, as well as in…”
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Refraction strategies in stochastic control: optimality for a general L\'evy process model
Published 16-08-2023“…We revisit an absolutely-continuous version of the stochastic control problem driven by a L\'evy process. A strategy must be absolutely continuous with respect…”
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18
Optimal dividends and capital injection: A general L\'evy model with extensions to regime-switching models
Published 21-06-2023“…This paper studies a general L\'evy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the…”
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19
On Boolean selfdecomposable distributions
Published 10-06-2022“…This paper introduces the class of selfdecomposable distributions concerning Boolean convolution. A general regularity property of Boolean selfdecomposable…”
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20
Generalized refracted L\'evy process and its application to exit problem
Published 18-08-2016“…Generalizing Kyprianou--Loeffen's refracted L\'evy processes, we define a new refracted L\'evy process which is a Markov process whose positive and negative…”
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