Arbeitspapier

On testing for diagonality of large dimensional covariance matrices

Datasets in a variety of disciplines require methods where both the sample size and the dataset dimensionality are allowed to be large. This framework is drastically different from the classical asymptotic framework where the number of observations is allowed to be large but the dimensionality of the dataset remains fixed. This paper proposes a new test of diagonality for large dimensional covariance matrices. The test is based on the work of John (1971) and Ledoit and Wolf (2002) among others. The theoretical properties of the test are discussed. A Monte Carlo study of the small sample properties of the test indicate that it behaves well under the null hypothesis and has superior power properties compared to an existing test of diagonality for large datasets.

Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 526

Classification
Wirtschaft
Hypothesis Testing: General
Statistical Simulation Methods: General
Single Equation Models; Single Variables: Panel Data Models; Spatio-temporal Models
Subject
Panel data, Large sample covariance matrix, Maximum eigenvalue
Matrizenrechnung
Varianzanalyse
Korrelation

Event
Geistige Schöpfung
(who)
Kapetanios, George
Event
Veröffentlichung
(who)
Queen Mary University of London, Department of Economics
(where)
London
(when)
2004

Handle
Last update
10.03.2025, 11:46 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Kapetanios, George
  • Queen Mary University of London, Department of Economics

Time of origin

  • 2004

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