Abstract Chapter 2 introduced the finite Volterra model class V(N,M), its infinite-dimensional extensions, and four important special cases: the Hammerstein models, the Wiener models, the Uryson models, and the projection-pursuit models. This chapter presents a brief overview of some typical applications of these models, focusing on the particular model structure chosen and the underlying reasons for this choice. Initially, this chapter focuses on the following four special cases:


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