The resemblances and parallels between these three characters are uncanny. They go beyond mere coincidences, and definitely connect them in a way that makes them the key component of the entire A Song of Ice and Fire/Game Of Thrones story.
Obviously, this into account the R+L=J theory which is only a few episodes/chapters away from being confirmed once and for all about Jon Snow’s parentage and the events that occurred at the Tower of Joy at the end of Robert’s Rebellion, 20 years before the current events of the story.
Parallels between Tyrion, Jon and Daenerys go as follows, and they are plenty:
They Are Outcasts In Their Own Way:
– Tyrion is a Dwarf
– Jon is a Bastard
– Daenerys is a Female Exile
They Each Descend From A Different Lineage Of Humans
– Tyrion descends from the Andals
– Jon descends from the First Men
– Daenerys descends from Old Valyrian