that is in general, and there are a few exceptions, notably that canon SLRs use CMOS, rather than CCD, based sensors, and Fuji's super-CCD. both offer improved noise performance. canon's lead isn't what it used to be and can basically be ignored. the fuji super CCD offers DSLR-like noise performance, which is incredible for such a small sensor.
also keep in mind that a larger sensor featuring more megapixels might actually be noisier than a smaller sensor with fewer megapixels. and that above 7 megapixels on small sensors doesn't seem to improve image quality (sharpness is limited by the lens, and the blurring that is used to remove the noise reduces the sharpness).