In this paper, we investigate a Sparre Andersen risk model perturbed by diffusion with phase-type inter-claim times. We mainly study the distribution of maximum surplus prior to ruin. A matrix form of integro-differen...In this paper, we investigate a Sparre Andersen risk model perturbed by diffusion with phase-type inter-claim times. We mainly study the distribution of maximum surplus prior to ruin. A matrix form of integro-differential equation for this quantity is derived, and its solution can be expressed as a linear combination of particular solutions of the corresponding homogeneous integro-differential equations. By using the divided differences technique and nonnegative real part roots of Lundberg's equation, the explicit Laplace transforms of particular solutions are obtained. Specially, we can deduce closed-form results as long as the individual claim size is rationally distributed. We also give a concise matrix expression for the expected discounted dividend payments under a barrier dividend strategy. Finally, we give some examples to present our main results.展开更多
Majuqiao temporary labor market,one of the well-known gig-economy platform,gathered thousands of migrant workers for seeking temporary employment.As informal labor grows,it is necessary to understand the operation sys...Majuqiao temporary labor market,one of the well-known gig-economy platform,gathered thousands of migrant workers for seeking temporary employment.As informal labor grows,it is necessary to understand the operation system of such a permanent and enormo us market.More importantly,concerns about informal workers’life quality needs to be address and analyze.This paper conducted semi-structured interview with randomly selecting 15 workers in the Majuqiao temporary market.The paper emphasizes three inter viewees across different generation to explore their daily life.Finding shows that while gig-economy platform provided flexibility to migrant workers,it often comes with irregular income and labor exploitation.Workers are benefiting disproportionately f rom their employers,which resonates with Marx’s perspective of surplus values.Therefore,the study highlights the current situation that is needed to change for the welfare of migrant workers and proposes effective sol ution to this existing problem.展开更多
基金Supported by National Basic Research Program of China (973 Program) 2007CB814905, National Natural Science Foundation of China (Grant No. 10871102), and the Keygrant Project of Chinese Ministry of Education (Grant No. 309009)
文摘In this paper, we investigate a Sparre Andersen risk model perturbed by diffusion with phase-type inter-claim times. We mainly study the distribution of maximum surplus prior to ruin. A matrix form of integro-differential equation for this quantity is derived, and its solution can be expressed as a linear combination of particular solutions of the corresponding homogeneous integro-differential equations. By using the divided differences technique and nonnegative real part roots of Lundberg's equation, the explicit Laplace transforms of particular solutions are obtained. Specially, we can deduce closed-form results as long as the individual claim size is rationally distributed. We also give a concise matrix expression for the expected discounted dividend payments under a barrier dividend strategy. Finally, we give some examples to present our main results.
文摘Majuqiao temporary labor market,one of the well-known gig-economy platform,gathered thousands of migrant workers for seeking temporary employment.As informal labor grows,it is necessary to understand the operation system of such a permanent and enormo us market.More importantly,concerns about informal workers’life quality needs to be address and analyze.This paper conducted semi-structured interview with randomly selecting 15 workers in the Majuqiao temporary market.The paper emphasizes three inter viewees across different generation to explore their daily life.Finding shows that while gig-economy platform provided flexibility to migrant workers,it often comes with irregular income and labor exploitation.Workers are benefiting disproportionately f rom their employers,which resonates with Marx’s perspective of surplus values.Therefore,the study highlights the current situation that is needed to change for the welfare of migrant workers and proposes effective sol ution to this existing problem.