There are still a few theorists in this world who favor “tired light cosmology” rather than the Big Bang Theory which is based on the concept of space expansion. Below are some references for the tired light cosmology.
***** This paper shows a new red shift distance relationship, z = HD/(1 - HD/2) which is derived from the Compton effect interpretation of the cosmological red shift. http://www.angelfire.com/az/BIGBANGisWRONG/Hubble_latest_web.htm
(You need to understand firstly what is Compton effect (also called Compton scattering) before you are able to digest this paper.)
***** The bad news is that most scientists do not accept the “tired light” because it fails too much in observational tests. See this link http://www.astro.ucla.edu/~wright/tiredlit.htm