The decrease in number density of Lyman alpha clouds near the backgrou
nd quasar is an observational result that is often called the 'proximi
ty' or 'inverse' effect. It is thought that, for nearby clouds, the fl
ux of the quasar dominates the background radiation held, increasing t
he ionization state of the clouds and reducing the (observed) H I colu
mn density. In this paper we analyse a sample of 11 quasars from the l
iterature for which accurate column density estimates of the Lyman alp
ha lines exist. We confirm, to a significance level of more than 3 sig
ma, that the proximity effect exists. If it is related to the backgrou
nd flux then the intensity and evolution of the background have been c
onstrained. Using a maximum-likelihood method, we determine the streng
th of the extragalactic ionizing background for 2.0 < z < 4.5, taking
account of possible systematic errors in our determination and estimat
ing the effect of biases inherent in the data. If the background is co
nstant we find that it has an intensity of 100(-30)(+50)J(23), where J
(23) is defined as 10(-23) erg s(-1) cm(-2) sr(-1) Hz(-1). There is no
significant evidence for a change in this value with redshift.