Palmer, Stein, Abraham, and Anderson (PSAA) models of hierarchically constrained dynamics for glassy relaxation are revisited. The relaxation distribution and standard deviation for the Kohlrausch (or stretched) relaxation function (exp(-(t/тe)β)) are derived in large t region . We also introduce the temperature dependence of the stretched exponent β and the effective relaxation time тe which exhibit s the Vogel-Fulcher-like divergence a t low temperature through the constrained variable μ0.