Arbeitspapier

On parameter estimation for locally stationary long-memory processes

We consider parameter estimation for time-dependent locally stationary long-memory processes. The asymptotic distribution of an estimator based on the local infinite autoregressive representation is derived, and asymptotic formulas for the mean squared error of the estimator, and the asymptotically optimal bandwidth are obtained. In spite of long memory, the optimal bandwidth turns out to be of the n-1/5 and inversely proportional to the square of the second derivative of d. In this sense, local estimation of d is comparable to regression smoothing with iid residuals.

Language
Englisch

Bibliographic citation
Series: CoFE Discussion Paper ; No. 07/13

Classification
Wirtschaft
Subject
long memory
fractional ARIMA process
local stationarity
bandwidth selection

Event
Geistige Schöpfung
(who)
Beran, Jan
Event
Veröffentlichung
(who)
University of Konstanz, Center of Finance and Econometrics (CoFE)
(where)
Konstanz
(when)
2007

Handle
URN
urn:nbn:de:bsz:352-opus-116694
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Beran, Jan
  • University of Konstanz, Center of Finance and Econometrics (CoFE)

Time of origin

  • 2007

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