Uncertain renewal process is an important uncertain process. This paper discusses some sample properties of uncertain renewal process. Besides, it gives some theorems on first hitting time of renewal process.

Sustainability is observed in many aspects and elements of traditional Iranian architecture, plannerand landscape architecture, and this method was used to solve many problems for many countries. The aim of thisarticle is to achieve a sustainable approach in planning urban renewal projects to identify the relationship betweenurban design considerations and the sustainable development objectives...

nucleostemin (ns), a stem cell-abundant nucleolar protein, is critical for maintaining the self-renewal and proliferative properties of normal and cancerous stem cells. recent data suggests that ns signaling is important for proliferation of t-cells and leukemia cells. this study was conducted to verify the role of ns in pathogenesis and treatment of t-cell acute lymphocytic leukemia (t-all). o...

Renewal of an extinguished conditioned response has been demonstrated in humans and in animals using various types of procedures, except renewal of motor learning such as eyeblink conditioning. We tested renewal of delay and trace eyeblink conditioning in a virtual environment in an ABA design. Following acquisition in one context (A, e.g., an airport) and extinction in a different context (B, ...

Uncertain process is a sequence of uncertain variables indexed by time. This paper aims to introduce a kind of uncertain process named uncertain delayed renewal reward process whose interarrival times and rewards (or costs) are regarded as uncertain variables with the first interarrival ( i.e., renewal) time and reward different from the others, respectively. The main results include the uncert...

In this article, we study the discounted penalty at ruin in a perturbed compound Poisson model with two-sided jumps. We show that it satisfies a renewal equation under suitable conditions and consider an application of this renewal equation to study some perpetual American options. In particular, our renewal equation gives a generalization of the renewal equation in Gerber and Landry [2] where ...

It is well-known in ruin theory that the expected present value of penalty at ruin satisfies a defective renewal equation in the Erlang-n renewal risk model. This paper presents a new matrix operator approach to derive a parallel defective renewal equation for the expected present value of total operating costs in a phase-type renewal risk model and hence provides explicit matrix analytic solut...

The most commonly used models for the failure process of a repairable system are nonhomogeneous Poisson processes, corresponding to minimal repairs, and renewal processes, corresponding to perfect repairs. This paper studies a more general model for recurrent events, called the Trend-Renewal Process (TRP). This is a time transformed renewal process, having both the ordinary renewal process and ...