This work prepares new probability bounds for sums of random, independent, Hermitian tensors. These characterize large-deviation behavior the extreme eigenvalue random We extend Laplace transform method and Lieb's concavity theorem from matrices to tensors, apply these tools generalize classical associated with names Chernoff, Bennett, Bernstein scalar tensor setting. Tail norm a sum rectangula...

in this paper, we generalize some results of chandra and goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). furthermore, we give baum and katz’s [1] type results on estimate for the rate of convergence in these laws.