(1) Institute of Mathematics and Informatics, Akademijos 4;, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania
Abstract:
The class of generalized z–distributions is defined and their properties are investigated. Ornstein–Uhlenbeck–type and self–similar generalized z–processes are constructed and described. Esscher transforms of the generalized z–processes and the mixed generalized z–processes are characterized. Finally, construction and some properties of generalized z–diffusions are also discussed.