  In a vast area of probabilistic limit theorems for dynamical systems with
chaotic behaviors always only functional form (exponential, power, etc) of the
asymptotic laws and of convergence rates were studied. However, for basically
all applications, e.g., for computer simulations, development of algorithms to
study chaotic dynamical systems numerically, as well as for design and analysis
of real (e.g., in physics) experiments, the exact values (or at least
estimates) of constants (parameters) of the functions, which appear in the
asymptotic laws and rates of convergence, are of primary interest. In this
paper we provide such estimates of constants (parameters) in the central limit
theorem, large deviations principle, law of large numbers and the rate of
correlations decay for strongly chaotic dynamical systems.
