𝑉-law for random block matrices under the generalized Lindeberg condition

The V-law under generalized Lindeberg condition for the independent blocks of random matrices having double stochastic matrix of covariances and different expectations of their array is proven.

V-density for eigenvalues of random block matrices with independent blocks whose entries have different variances and expectations

V-density under Lindeberg condition for the independent blocks of random matrices having different variances and expectations is found.