@article{oai:ynu.repo.nii.ac.jp:00006782, author = {Volny, Dalibor}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Recently, nonergodic versions of several limit theorems for strictly stationary processes were given ([6], [7], [8]). The proofs were based on the fact that important properties of the stationary process which hold with respect to an invariant measure $¥mu$ , are preserved with respect to its ergodic components. Using the same technique we shall prove two nonergodic versions of Heyde's functional CLT and log log law here.}, pages = {137--141}, title = {ON THE INVARIANCE PRINCIPLE AND FUNCTIONAL LAW OF ITERATED LOGARITHM FOR NONERGODIC PROCESSES}, volume = {35}, year = {1987} }