Spatio-temporal pattern formation over the square and rectangular domain has received significant attention from researchers. A wide range of stationary non-stationary patterns produced by two interacting populations is abundant in literature. Fragmented habitats are widespread reality due to irregularity landscape. This work considers a prey-predator model capable producing time-varying comple...

 This paper deals with a short term forecasting non-stationary time series using wavelets and splines. Wavelets can decompose the series as the sum of two low and high frequency components. Aminghafari and Poggi (2007) proposed to predict high frequency component by wavelets and extrapolate low frequency component by local polynomial fitting. We propose to forecast non-stationary process u...

In this paper, we present the Anderson-Darling (AD) and Kolmogorov-Smirnov (KS) goodness of fit statistics for stationary and non-stationary random fields. Namely, we adopt an easy-to-apply method based on a random projection of a Hilbert-valued random field onto the real line R, and then, applying the well-known AD and KS goodness of fit tests. We conclude this paper by studying the behavior o...

Abstract Australian summer heat events have become more frequent and severe in recent times. Temperature-duration-frequency (TDF) curves connect the severity of episodes various durations to their frequencies thus can be an effective tool for analysing extremes. This study examines using data from 82 meteorological stations. TDF been developed under stationary non-stationary conditions. General...