Levy–Baxter theorems for one class of non-Gaussian stochastic processes

摘要

The theorems of Baxter type were established for a class of random processes with K-increments. The obtained results can be used in the statistics of random processes,in particular for obtaining sufficient conditions of singularity of measures generated by random processes. This study was focused on the Levy–Baxter limit theorems for randomprocesses. A new class of random processes was created. This method of investigation can be used to establish the Baxter type theorems for random fields.