Self-hosted only gives basic analytics.
Not included with self-hosted community edition:
User profiles, Cohorts, Drill & Segmentation, Retention, Funnels, Flows, Revenue analytics, Dashboards, Attribution analytics, Automated push notifications.
As well as metadata providing context of the state of the device when it crashed, Crittercism will give you the steps users took up until the time of the crash to provide even more context.
Crittercism allows you to communicate directly to the end-user via features such telling users who experienced a crash that it has been fixed by an update.
They also have a easily implemented user feedback forum to receive bugs, feature requests or just general feedback from your users without having to leave the application.
The ability to enable users to communicate crashes or bugs directly to the development team will reduce the number of poor app store reviews.