Don't try more than a couple of times to pull the ring off your finger. If you inflame the knuckle it will swell and make the ring more difficult to remove. Simply moistening your finger in your mouth should do the trick.
Drip some olive oil around the ring, massage some petroleum jelly into your skin, or rub soap around the ring and wet it slightly. Then try to ease it off.
If your finger or knuckle has swollen, soak it in iced water to reduce the swelling, or put an ice pack around it.