Regional characteristics of radiation and propagation of seismic waves in the north-eastern Caucasus are estimated based on ~40 records of local earthquakes obtained by seismic station "Makhachkala" (MAK) (magnitudes m_b ~ 3.0-5.7, epicentral distances r ~ 30-190 km). Strong earthquakes with magnitudes Mw ~ 7.5 are probable there, and knowledge of characteristics of radiation and propagation of seismic waves is necessary for correct assessments of seismic hazard in the region. Previously, the quality function of the earth's crust and the upper mantle was estimated by the envelope method and by coda normalization method. Empirical methods and stochastic simulations were applied to estimate other parameters, such as, the stress drop (Δ σ ~ 50 bars), the geometrical spreading (as a three-segment function 1/r for r ~ 1-50 km, 1/50 for r ~ 50-150 km and 1/\sqrt{r} for r >150 km), the duration of seismic motion depending on the hypocentral distance, kappa value (κ ~ 0.08 s), the amplification of seismic waves in the upper parts of the Earth's crust A(f), and some others. The estimated characteristics of radiation and propagation of seismic waves show a good agreement between the simulations and observations and can be used for forecasting parameters of strong ground motion in future strong earthquakes in the region. Generally, the obtained characteristics of radiation and propagation of seismic waves are close to similar characteristics of the north-western Caucasus (Sochi and Anapa areas) and of central Japan.