While blue, brown and white are all egg colors (along with their myriad mixtures), all eggs are either blue or white. The brown coloration is added on top of the blue or white base shell as one of the final steps during egg production. So blue or brown are not dominant or recessive to each other, they are either present or not present separately, not dependent on nor influencing each other. The amount of brown color you see is the biggest variable in brown and green eggs. Some birds lay a very pale tan egg, some a very dark brown. This is due to the amount of pigment added to the outside of the shell. In addition, hens will often lay a more pigmented egg at the beginning of their laying cycle, and the color will become lighter the more eggs the lay (this has to do with stored pigments and diet sources, another discussion completely).
http://www.mypetchicken.com/backyar...eggs-become-blue-instead-of-white-or-H45.aspx
http://www.mypetchicken.com/backyar...n-eggs-become-brown-instead-of-white-H44.aspx
http://www.mypetchicken.com/backyar...eggs-become-blue-instead-of-white-or-H45.aspx
http://www.mypetchicken.com/backyar...n-eggs-become-brown-instead-of-white-H44.aspx