Recent research has investigated ways in which general probability distributions may be incorporated into stochastic process algebra. These proposals allow the arbitrary use of such distributions, improving expressibility, but in general this makes performance evaluation diicult. Typically, simulation techniques must be employed. We attack the goal of general probability distributions from the ...

The conflict between the manufacturer and the retailer except the double marginalization is an important issue in order to coordinate the dual-channel supply chain. In the general case of the non-linear stochastic demand which also is affected by the sales effort of the retailer, this paper designs a new buy-back contract to coordinate the dual-channel supply chain. On the base of developing th...

We have bounded the expected running times of several randomized algorithms in first two chapters. While the expectation of a random variable (such as a running time) may be small, it may frequently assume values that are far higher. In analyzing the performance of a randomized algorithm, we often like to show that the behavior of the algorithm is good almost all the time. For example, it is mo...

We introduce Stochastic Process Algebras as a novel approach for the structured design and analysis of both the functional behaviour and performabil-ity (i.e performance and dependability) characteristics of parallel and distributed systems. This is achieved by integrating stochastic modelling and analysis into the powerful and well investigated formal description techniques of process algebras...

We consider a stochastic volatility model where the volatility process is a fractional Brownian motion. We estimate the memory parameter of the volatility from discrete observations of the price process. We use criteria based on Malliavin calculus in order to characterize the asymptotic normality of the estimators. 2000 AMS Classification Numbers: 60F05, 60H05, 60G18.

The Hurst effect plays an important role in many areas such as physics, climate and finance. It describes the anomalous growth of range and constrains the behavior and predictability of these systems. The Hurst effect is frequently taken to be synonymous with Long-Range Dependence (LRD) and is typically assumed to be produced by a stationary stochastic process which has infinite memory. However...

Probability theory, and its dynamic aspect stochastic process theory, is both a venerable subject, in that its roots go back to the mid-seventeenth century, and a young one, in that its modern formulation happened comparatively recently – well within living memory. The year 2003 marked the seventieth anniversary of Kolmogorov’s Grundbegriffe der Wahrscheinlichkeitsrechnung, usually regarded as ...

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory, produces different kinds of correlated noise ranging from white noise, without delay, to quasi-periodical process, with delay close to the average period of the pu...