[en] E₂-transition probabilities between 4sub(g)sup(+)→2sub(g)sup(+), 2sub(g)sup(+)→0sub(g)sup(+) and 2sub(γ)sup(+) in even-even deformed nuclei of rare earth and actinide regions have been estimated using the asymmetric rotor model of Davydov and Rostovsky. The predictions of this model have been compared with the experimental values. From this comparison it has been found that the DR estimates are quite close to the experimental rates. The variations of the ratios B(E₂, 4sub(g)sup(+)→2sub(g)sup(+))sub(exp)/B(E₂, 4sub(g)sup(+))sub(DR), B(E₂, 2sub(g)sup(+)→0sub(g)sup(+))sub(exp)/B(E₂, 2sub(g)sup(+)→0sub(g)sup(+))sub(DR), B(E₂, 2sub(γ)sup(+)→0sub(g)sup(+))sub(exp)/B(E₂, 2sub(γ)sup(+)→0sub(g)sup(+))sub(DR) and B(E₂, 2sub(g)sup(+)→0sub(g)sup(+))sub(exp)/B(E₂, 2sub(g)sup(+)→0sub(g)sup(+))sub(SP) with non-axiality parameter 'γ₀' have been studied. (auth.)