SMS scnews item created by John Ormerod at Mon 7 Mar 2016 1004
Type: Seminar
Distribution: World
Expiry: 11 Mar 2016
Calendar1: 11 Mar 2016 1400-1500
CalLoc1: Carslaw 173
CalTitle1: Asymptotic inefficiency of BIC and asymptotic efficiency of TSIC: the case of an I(d) process
Auth: jormerod@pjormerod5.pc (assumed)

# Statistics Seminar: CY SIN -- Asymptotic inefficiency of BIC and asymptotic efficiency of TSIC: the case of an I(d) process

We consider in this talk an I(d) autoregressive (AR) process, d >= 0 is an unknown
integer. While Sin and Yu (2015) show that Akaike’s information criterion (AIC)
is asymptotically inefficient when the lag order is finite; this talk shows that
when the lag order is infinite with (a) exponentially decaying AR coefficients,
or (b) algebraically decaying AR coefficients, Bayesian information criterion
(BIC) is asymptotically inefficient. These results motivate us to combine the
strengths of AIC and BIC, yielding a so-called twostage information criterion
(TSIC) for a general I(d) AR process. We show that TSIC is asymptotically
efficient in the aforementioned three scenarios. The talk concludes with a
simulation study


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