Robust estimation of precision matrices under cellwise contamination

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Comments on: Robust estimation of multivariate location and scatter in the presence of cellwise and casewise contamination

Agostinelli, Leung, Yohai, and Zamar (Agostinelli et al. in the remainder) consider the difficult problem of robust estimation based on high-dimensional data. If outlying values can appear independently in the variables, then it can easily occur that the majority of the observations in high-dimensional data are contaminated, as pointed out in Alqallaf et al. (2009). Consequently, standard robus...

متن کامل

Minimax Estimation of Bandable Precision Matrices

The inverse covariance matrix provides considerable insight for understanding statistical models in the multivariate setting. In particular, when the distribution over variables is assumed to be multivariate normal, the sparsity pattern in the inverse covariance matrix, commonly referred to as the precision matrix, corresponds to the adjacency matrix representation of the Gauss-Markov graph, wh...

متن کامل

Highly Robust Estimation of Dispersion Matrices

In this paper, we propose a new componentwise estimator of a dispersion matrix, based on a highly robust estimator of scale. The key idea is the elimination of a location estimator in the dispersion estimation procedure. The robustness properties are studied by means of the influence function and the breakdown point. Further characteristics such as asymptotic variance and efficiency are also an...

متن کامل

Estimation of Covariance Matrices under Sparsity Constraints

Discussion of “Minimax Estimation of Large Covariance Matrices under L1-Norm” by Tony Cai and Harrison Zhou. To appear in Statistica Sinica. Introduction. Estimation of covariance matrices in various norms is a critical issue that finds applications in a wide range of statistical problems, and especially in principal component analysis. It is well known that, without further assumptions, the em...

متن کامل

Joint Estimation of Multiple High-dimensional Precision Matrices.

Motivated by analysis of gene expression data measured in different tissues or disease states, we consider joint estimation of multiple precision matrices to effectively utilize the partially shared graphical structures of the corresponding graphs. The procedure is based on a weighted constrained ℓ∞/ℓ1 minimization, which can be effectively implemented by a second-order cone programming. Compar...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Computational Statistics & Data Analysis

سال: 2016

ISSN: 0167-9473

DOI: 10.1016/j.csda.2015.02.005