The Local Ledoit-Peche Law

التفاصيل البيبلوغرافية
العنوان: The Local Ledoit-Peche Law
المؤلفون: Latimer, Van, Robinson, Benjamin D.
سنة النشر: 2023
المجموعة: Mathematics
Statistics
مصطلحات موضوعية: Mathematics - Statistics Theory, 60B20, G.3
الوصف: Ledoit and Peche proved convergence of certain functions of a random covariance matrix's resolvent; we refer to this as the Ledoit-Peche law. One important application of their result is shrinkage covariance estimation with respect to so-called Minimum Variance (MV) loss, discussed in the work of Ledoit and Wolf. We provide an essentially optimal rate of convergence and hypothesize it to be the smallest possible rate of excess MV loss within the shrinkage class.
Comment: 12 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.13708
رقم الأكسشن: edsarx.2302.13708
قاعدة البيانات: arXiv