Many macroeconomic and
financial data exhibit large outliers and high volatility so that their returns
are usually modeled to follow an infinite-variance stable process. Extreme
behaviors in such data tend to exist especially for emerging markets due to
frequent existence of high economic turmoil. A relatively new area of research studies
that model the financial returns as infinite-variance stable errors exists for
emerging markets as well as for industrialized countries. This study aims to
briefly introduce the reader the concept of infinite-variance stable
distributions, discuss some existing studies on unit root and co-integration
tests that assume infinite-variance stable error structure, and then to point
out the potential lines of research while showing the significance of this relatively
new concept.