Mis-Specification in the Estimation of the Expected Rescaled Adjusted Range Statistic: The Case Versus Peters
Rescaled range analysis has in recent times gained in popularity as a means of identifying long memory effects in financial and economic time series data. Conclusions derived from the rescaled adjusted range statistic are conditional however upon the choice of an approptiate benchmark against which observed results can be compared. This paper provides an examination of various models of the expected value of the rescaled adjusted range statistic E(R*/sigma)_n. Two particular models will be cited, those of Anis and Lloyd (1976) and Peters (1994). As will be shown however, there exists significant inconsistencies in empirical results reported by Peters (1994), which when considered reveal Peters' specification of E(R*/sigma)_n should be rejected in favour of that derived by Anis and Lloyd.
|Date of creation:||01 Oct 1996|
|Date of revision:|
|Publication status:||Published as: Ellis, C., 2006, "The Mis-Specification of the Expected Rescaled Adjusted Range", Physica A: Statistical Mechanics and its Applications, 363(2), 469-476.|
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