Discussion on the limits in distribution of processes $Y$ under joint rescaling of space and time is presented in this paper. The results due to Lamperti (1962), Weissman (1975), Hudson & Mason (1982) and Laha & Rohatgi (1982) are improved here.
@article{118495, author = {Petr Lachout}, title = {Linear rescaling of the stochastic process}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {33}, year = {1992}, pages = {277-289}, zbl = {0757.60034}, mrnumber = {1189658}, language = {en}, url = {http://dml.mathdoc.fr/item/118495} }
Lachout, Petr. Linear rescaling of the stochastic process. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 277-289. http://gdmltest.u-ga.fr/item/118495/
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