Arbeitspapier

Estimating the rank of the spectral density matrix

The rank of the spectral density matrix conveys relevant information in a variety of statistical modelling scenarios. This note shows how to estimate the rank of the spectral density matrix at any given frequency. The method presented is valid for any hermitian positive de?nite matrix estimate that has a normal asymptotic distribution with a covariance matrix whose rank is known.

Language
Englisch

Bibliographic citation
Series: ECB Working Paper ; No. 349

Classification
Wirtschaft
Hypothesis Testing: General
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Model Evaluation, Validation, and Selection
Subject
Spectral Density Matrix
Tests of Rank

Event
Geistige Schöpfung
(who)
Camba-Méndez, Gonzalo
Kapetanios, George
Event
Veröffentlichung
(who)
European Central Bank (ECB)
(where)
Frankfurt a. M.
(when)
2004

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Camba-Méndez, Gonzalo
  • Kapetanios, George
  • European Central Bank (ECB)

Time of origin

  • 2004

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