We define a new multivariate time series model by generalizing the ARMAX process in a multivariate way. We give conditions on stationarity and analyze local dependence and domains of attraction. As a consequence of the obtained results, we derive new multivariate extreme value distributions. We...

Spatial unilateral autoregressive model Xk,ℓ=αXk−1,ℓ+βXk,ℓ−1+γXk−1,ℓ−1+εk,ℓ is investigated in the unit root case, that is when the parameters are on the boundary of the domain of stability that forms a tetrahedron with vertices (1,1,−1), (1,−1,1), (−1,1,1) and...

We present symmetry tests for bifurcating autoregressive (BAR) processes when some data are missing. BAR processes typically model cell division data. Each cell can be of one of two types odd or even. The goal of this paper is to study the possible asymmetry between odd and even cells in a...

Purpose – This paper seeks to model the daily and weekly forecasting of the currency in circulation (CIC) for the State of Qatar. Design/methodology/approach – The paper employs linear forecasting models, the regression model and the seasonal ARIMA model to forecast the CIC for Qatar....

We investigate the relationship between weak dependence and mixing for discrete valued processes. We show that weak dependence implies mixing conditions under natural assumptions. The results specialize to the case of Markov processes. Several examples of integer valued processes are discussed...

Purpose – This paper seeks to model the daily and weekly forecasting of the currency in circulation (CIC) for the State of Qatar. Design/methodology/approach – The paper employs linear forecasting models, the regression model and the seasonal ARIMA model to forecast the CIC for Qatar....

Purpose – This paper aims to deal with the construction of seasonal price indices for the housing market, based on Rosen's hedonic equations and using spatial econometric autoregression (SAR) techniques. Design/methodology/approach – More precisely, the hedonic equations are estimated using...