Fixed Size Confidence Regions for Parameters of Stationary Processes Based on a Minimum Contrast Estimator

Shiohama Takayuki

No 243, Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

Abstract: For parameters of stationary processes with zero mean and spectral density, sequential procedures are proposed for constructing fixed size confidence ellipsoidal regions for unknown parameters using a minimum contrast estimator. The confidence ellipsoids are shown to be asymptotically consistent and the associated stopping rules are shown to be asymptotically efficient as the size of the region becomes small when the assumed parametric model is correct. Monte Carlo simulations are given to investigate the performance of our proposed sequential procedures.

Date: 2005-01

Downloads: (external link)
http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/14258/1/pie_dp243.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:hit:piedp1:243

Access Statistics for this paper

More papers in Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University
Contact information at EDIRC.
Series data maintained by Koji OHTAGAKI ().