Several well-known statistical measures similar to LMC and Fisher-Shannon complexity have been computed for confined hydrogen atom in both position (r) and momentum (p) spaces. Further, a more generalized form of these quantities with Renyi entropy (R) is explored here. The role of scaling parameter in the exponential part is also pursued. R is evaluated taking order of entropic moments alpha; beta as (2/3, 3) in r and p spaces. Detailed systematic results of these measures with respect to variation of confinement radius r(c) is presented for low-lying states such as, 1s-3d; 4f and 5g. For nodal states, such as 2s; 3s and 3p, as rc progresses there appears a maximum followed by a minimum in r space, having certain values of the scaling parameter. However, the corresponding p-space results lack such distinct patterns. This study reveals many other interesting features. (C) 2017 Elsevier B.V. All rights reserved.