Small sample estimation of ρ1

Authors:
  • JWJames R. Wallis
    James R. Wallis
  • POP. Enda O'Connell
    P. Enda O'Connell

Abstract
Hydrologists frequently need to estimate lag 1 correlation ρ1 from rather short observed records of length n. The most commonly used algorithms for estimating ρ1 can give seriously biased estimates if n is small and |ρ1| is large. Small sample bias corrections based on the assumption of a lag 1 Markov generating process are available for , but the corrected estimates tend to have larger variance than the uncorrected estimates do.

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