I don't vaccinate my kids and I do believe that vaccinations are responsible for some infant deaths. However, it is ALSO true that correllation does NOT equal causation and in something as complicated as infant mortality, we do need to be very cautious in drawing conclusions from something such as this.
There are SO many factors that relate to infant mortality, as a previous poster mentions.
-formula feeding vs. breastfeeding
-prematurity
-age of mother
-use or reproductive assistance
-life saving techniques for premature or sick babies
-classification as infant death vs. stillbirth vs. miscarriage.
-rates of smoking, alcohol abuse during pregnancy, or drug abuse during pregnancy
-race and socio-economic status
For example. the US has a high rate of vaccinations. It is also have a high rate of formula use (compared to other European developed countries in the study), high rates of prematurity, and high use of life saving techniques for premature or sick babies. For example. in the US, a baby born at say 22 weeks may live a few weeks before dying an be counted in infant mortality statistics, while in another country without the same techniques that baby may die shortly after birth and be counted as a stillbirth, and in still another country that same baby may be counted as miscarriage.
There are just SO MANY compounding factors in this.
I've love to see a study on rates of infant mortality between vaccinated and unvaccinated babies that adjusted for all those factors and maybe only studied healthy, full-term, breastfed babies, no birth/pregnancy complications, no smoking, no drug/alcohol abuse during pregnancy from parents of a similar socio-economic status.
Again, I do believe that vaccines carry risks, I just don't believe that infant mortality is so complicated that you can't draw definite conclusions from this type of study.