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Category > Management Posted 04 Apr 2018 My Price 7.00

Hildreth-Lu scanning

Estimating ρ: The Hildreth-Lu scanning or search procedure.† Since in the first-order autoregressive scheme

 

ρ is expected to lie between −1 and +1, Hildreth and Lu suggest a systematic “scanning’’ or search procedure to locate it. They recommend selecting ρ between −1 and +1 using, say, 0.1 unit intervals and transforming the data by the generalized difference equation (12.6.5). Thus, one may choose ρ from −0.9, −0.8, ... , 0.8, 0.9. For each chosen ρ we  run the generalized difference equation and obtain the associated RSS: Σ . Hildreth and Lu suggest choosing that ρ which minimizes the RSS (hence maximizing the R2). If further refinement is needed, they suggest using smaller unit intervals, say, 0.01 unit such as −0.99, −0.98, ... , 0.90, 0.91, and so on.

a. What are the advantages of the Hildreth–Lu procedure?

b. How does one know that the ρ value ultimately chosen to transform the data will, in fact, guarantee minimum Σ.

 

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Status NEW Posted 04 Apr 2018 07:04 PM My Price 7.00

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