On the variability of the sample covariance matrix under complex elliptical distributions

التفاصيل البيبلوغرافية
العنوان: On the variability of the sample covariance matrix under complex elliptical distributions
المؤلفون: Raninen, Elias, Ollila, Esa, Tyler, David E.
المصدر: IEEE Signal Processing Letters, vol. 28, pp. 2092-2096, 2021
سنة النشر: 2021
المجموعة: Mathematics
Statistics
مصطلحات موضوعية: Mathematics - Statistics Theory
الوصف: We derive the form of the variance-covariance matrix for any affine equivariant matrix-valued statistics when sampling from complex elliptical distributions. We then use this result to derive the variance-covariance matrix of the sample covariance matrix (SCM) as well as its theoretical mean squared error (MSE) when finite fourth-order moments exist. Finally, illustrative examples of the formulas are presented.
نوع الوثيقة: Working Paper
DOI: 10.1109/LSP.2021.3117443
الوصول الحر: http://arxiv.org/abs/2108.08047Test
رقم الانضمام: edsarx.2108.08047
قاعدة البيانات: arXiv