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A limit theorem on symmetric matrices
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Abdelhamid Hassairi
Veröffentlicht/Copyright:
15. November 2010
Abstract
In this note, we give a limit theorem related to the notion of regular variation for functions defined on symmetric matrices. We consider the problem under the condition of invariance by the orthogonal group, and under the invariance by the subgroup of the orthogonal group corresponding to diagonal matrices.
Received: 2010-07-27
Revised: 2010-09-30
Published Online: 2010-11-15
Published in Print: 2010-December
© de Gruyter 2010
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- On a problem concerning quaternion valued Gaussian random variables
- Mazur–Ulam theorem for Riesz spaces
- A limit theorem on symmetric matrices
- On a relationship between the measurability and continuity of real-valued functions
- Proof of the Zalcman conjecture for initial coefficients
- Recursive parameter estimation in the trend coefficient of a diffusion process
- Backward stochastic PDEs related to the utility maximization problem
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- Asymptotic efficiency of exponentiality tests based on order statistics characterization
- Universal truncation error upper bounds in sampling restoration
- An operator version of Abel's continuity theorem
Schlagwörter für diesen Artikel
Regular variation;
symmetric matrix;
generalized power;
orthogonal group
Artikel in diesem Heft
- On a problem concerning quaternion valued Gaussian random variables
- Mazur–Ulam theorem for Riesz spaces
- A limit theorem on symmetric matrices
- On a relationship between the measurability and continuity of real-valued functions
- Proof of the Zalcman conjecture for initial coefficients
- Recursive parameter estimation in the trend coefficient of a diffusion process
- Backward stochastic PDEs related to the utility maximization problem
- On the statistical estimation of the logarithmic derivative of a measure in a Hilbert space
- Asymptotic efficiency of exponentiality tests based on order statistics characterization
- Universal truncation error upper bounds in sampling restoration
- An operator version of Abel's continuity theorem
