This paper gives a survey of recent results on generalized Jackson networks , where classical exponential or i.i.d. assumptions on services and routings are replaced by stationary and ergodic assumptions. We rst show that the most basic features of the network may exhibit unexpected behavior. Several probabilistic properties are then discussed, including a strong law of large numbers for the nu...

If the Universe contains at least one inflationary domain with a sufficiently large and homogeneous scalar field φ, then this domain permanently produces new inflationary domains of all possible types. We show that under certain conditions this process of the self-reproduction of the Universe can be described by a stationary distribution of probability, which means that the fraction of the phys...

Definition 1 (Time Series). A time series is a sequence of observations ordered with respect to a time index t, taking values in an index set S. If the set S contains a finite or countable number of elements we speak of discrete-time time series and the generic observation is indicated with the symbol yt, while if S is a continuum we have a continuous-time time series, whose generic observation...

this paper attempts to compare the forecasting performance of the arima model and hybrid arma-garch models by using daily data of the iran’s exchange rate against the u.s. dollar (irr/usd) for the period of 20 march 2014 to 20 june 2015. the period of 20 march 2014 to 19 april 2015 was used to build the model while remaining data were used to do out of sample forecasting and check the forecasti...

Extended Abstract. Forecasting is one of the most important purposes of time series analysis. For many years, classical methods were used for this aim. But these methods do not give good performance results for real time series due to non-linearity and non-stationarity of these data sets. On one hand, most of real world time series data display a time-varying second order structure. On th...

the existence of shift for periodically correlated processes and its boundedness are investigated. spectral criteria for these non-stationary processes to have such shifts are obtained.

In this work, novel atom-type-based topological indices, named AT indices, were presented as descriptors to encode structural information of a molecule at the atomic level. The descriptors were successfully used for simultaneous quantitative structure-retention relationship (QSRR) modeling of saturated alcohols on different stationary phases (SE-30, OV-3, OV-7, OV-11, OV-17 and OV-25). At first...

abstract background: peritoneal dialysis has a number of complications including increased blood glucose. although exercise has been suggested to resolve this complication, most patients are not active. the present study aimed at determining the effects of twice-weekly, 40-min sessions of pedaling on a stationary bicycle on mean fasting blood sugar (fbs) and 2-h postprandial blood sugar (ppbs) ...