I have not always had an emergency fund. When I first had a mortgage in 1989, interest rates were so high that I struggled to meet payments. I did and survived. I survived because I did not buy any luxeries. No CD's or videos. In those days my career was just starting out so my salary quickly increased and I did not have to watch the finances as closely.
For about the last 10 years I have had an emergency fund which is about 10% of my annual salary. This is sat in an instant access account with one of the highest savings rates around of 5% AER with Ing Direct.
When we have to dip into this fund the priority is then to replenish it by diverting funds from regular savings plans to this account.
I would thoroughly recommend everyone has an emergency fund.