ON STATIONARITY OF THE SOLUTION OF A DOUBLY STOCHASTIC MODEL Academic Article uri icon

abstract

  • Abstract. Consider the discrete parameter process {XI} satisfying the doubly stochastic model Xt=tXt1+t where {} and {t} are also stochastic processes. Necessary and sufficient conditions on {} are given for {X1} to be a second order process. When {t} is a strictly stationary process, some sufficient conditions in terms of {} are given which guarantee the wide sense stationarity of {Xt}. It turns out that for these problems the distribution and dependence structure of the process {log ||} play an important role. Copyright 1986, Wiley Blackwell. All rights reserved

published proceedings

  • Journal of Time Series Analysis

author list (cited authors)

  • Pourahmadi, M.

citation count

  • 28

complete list of authors

  • Pourahmadi, Mohsen

publication date

  • March 1986

publisher