The payoff distribution pricing model (PDPM) of Dybvig [13] is a powerful tool for measuring the inefficiency of any investment strategy in a multiperiod setting. In this study, we extend the PDPM in three major ways. Firstly, we develop an operational formula for computing the inefficiency amount of a strategy. Secondly, we use six different investment horizons spanning from one month to five ...

Brownian motion is used to model the uncertainty in the motion of cars on a highway. The probability of collision of two adjacent cars within a xed horizon is calculated and its implications are discussed. Moreover, the probability of collision in the presence of emergency braking is also obtained by modeling the occurrence of emergency braking as a Poisson process.

Tendency to optimization in last decades has resulted in creating multi-product manufacturing systems. Production planning in such systems is difficult, because optimal production volume that is calculated must be consistent with limitation of production system. Hence, integration has been proposed to decide about these problems concurrently. Main problem in integration is how we can relate pro...

Multi-horizon forecasting often contains a complex mix of inputs – including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed in the past without any prior information on how they interact with target. Several deep learning methods have been proposed, but typically ‘black-box’ models do not shed light use full range present pra...

Many approaches have been proposed for the visualization of time series. The reduced line charts (small multiples for time series) and the more recent horizon graphs are two of these visualization techniques with benefits for visualizing multiple time series that we propose to unify, using a variant of the pan and zoom interaction on the y axis. We compare in a user study reduced line charts, h...