I posted this before a long time ago but this is my theory on the Starks - I don't think ANY of them will be alive by the time this entire series ends in Season 7 or 8. Here's why:
http://gameofthrones.wikia.com/wiki/Faith_of_the_Seven
The 7 gods or the Faith of Seven are seven gods that make up for each fundamental law of nature, the father, mother, maiden, Crone, the warrior, the smith, the stranger:
The Father: represents divine justice, and judges the souls of the dead. Just as Ned Stark represented honour and justice. He died defending those things trying to do right always with no compromise.
The Mother: represents mercy, peace, fertility, and childbirth. She is sometimes referred to as "the strength of women". This is Catelyn Stark to a T. She wanted her daughters, peace for Robb and even begged for mercy before she was killed.
The Maiden: represents purity, innocence, love, and beauty. This would be Sansa. I've noticed that with the Starks when they go against what they are they die and embody each of the 7.
The Crone: represents wisdom and foresight. Is represented carrying a lantern. This would be Bran because he can see the past, present, future (remember when he first had his vision and we saw the dragon fly over King's Landing and snow within the city). He has tremendous wisdom of the past. Peep the foreshadow with Benjen's lantern killing a white walker in tonight's episode.
The Warrior: represents strength and courage in battle. Robb Stark most definitely fit this, and how interesting he NEVER lost a battle (which is fuckin unheard of) and with his courage became the Last King of the North, but died for love.
The Smith: represents creation and craftsmanship. This is Rickon Stark, there's not much to go on in the show but in the books there's more to him. He indicates the prospect of creation - aka another dynasty of Starks that can carry the Stark name and unify the North. In the books he carries around arrows and items for Robb, Jon and Arya.
The Stranger: The Stranger represents death and the unknown. It is rarely prayed to. Arya Stark. Her fate is now unknown, how will she battle against the Faceless Man ? She saved the actress tonight giving her dominion over her life and even Jacqen's when she saved him in season 2 at Harrenhal. Her story is entirely fuelled by revenge and death.
^^^ In the end, I think each Stark must die to represent each one, the purpose is to be the guardians of the faith to rule the facets of the 7 kingdoms spiritually as entities not really as individuals. Jon Snow IMO is a Targaryen so he doesn't count on here, neither does Benjen, Ned and Catelyn ironically had 5 children, each with a direwolf they can warg into, each representing very strong personality traits.... That's no coincidence.