Abstract We introduce a definition of long range dependence random processes and fields on an (unbounded) index space $T\subseteq \mathbb{R}^d$ in terms integrability the covariance indicators that function exceeds any given level. This is specifically designed to cover case functions with infinite variance. show value this new its connection limit theorems via some examples including subordina...

In this paper we examine monthly mean temperatures in 40 selected stations Siberia for the time period January 1937–December 2020 using long range dependence techniques. particular, use a fractionally integrated model that incorporates linear trend along with seasonal structure. Our results show first memory is present all significantly positive values differencing parameter, though, at same co...