Google’s website said: We’re pleased to announce that we’ve begun reopening signups for Google Analytics on an invitation basis.

Google Analytics is based on software technologies acquired from Urchin Software Inc in 2005. It subsequently launched Google Analytics in November of that year, as a free, hosted web analytics offering.

However it seems that Google badly underestimated either customer demand or the required infrastructure needed to support its service. Soon after the launch, ten days to be exact, new sign ups were suspended after reports of logging into reports that contained stale data from disgruntled users of the service.

At the time Google cited extraordinarily high demand for the problems saying that it had decided to freeze new sign ups to ensure the best possible user experience.

Now, six weeks, later, Google is confident that the problems have been ironed out. But the hiccup, while not as highly publicized as salesforce.com Inc’s recent service outages, could make customers think twice about partnering with Google for web analytics and push them towards vendors that charge for their solutions and offer more concrete service level agreements.