2007/06/06 by Elizabeth Meckes, Meckes, Elizabeth
Mathematics · #Advanced Statistical Methods and Models #FOS: Mathematics #Mathematical Inequalities and Applications #Point processes and geometric inequalities #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.0706.0844
openalex publication_date 2007/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, explicit error bounds are derived in the approximation of rank k projections of certain n-dimensional random vectors by standard k-dimensional Gaussian random vectors. The bounds are given in terms of k, n, and a basis of the k-dimensional space onto which we project. The random vectors considered are two generalizations of the case of a vector with independent, identically distributed components. In the first case, the random vector has components which are independent but need not have the same distribution. The second case deals with finite exchangeable sequences of random variables.