We have been using Google Analytics on our main website for years, but recently we have tried another local stats system (Yandex.Metrica) and we are very happy with it - more than with the Google one. Thus, our idea is to completely remove Google Analytics from our website and use only this new system.
The question for SEO pro's related to this is the following. I've heard that having the Google Analytics counter on a website could be principal for better indexing/ranking. Is that true? Can we remove their counter without losing our good search result positions?