You cannot mix other pigments to achieve the same exact color as cadmium yellow.
If you're looking for similar colors, you might be able to achieve a close approximation by mixing:
* Yellow ochre and cadmium red for a more earthy yellow.
* Lemon yellow and cadmium orange for a brighter, more vibrant yellow.
However, these mixtures will never have the same chemical composition or unique properties of cadmium yellow.