Can someone please confirm if I have got the right idea of these two methods of calculating survival functions. The only difference in the calculation is that in Nelson-Aalen we calulate the cumulative hazard function by addition hazard rates. And in Kaplan-Meier we multiply the survival rates to calculate the survival function. If I am wrong can you please explain the difference. Thanks
You are right. To be specific, you take 1 less the product of the survival probabilities for Kaplan-Meier. If you use the approximation of exp(x) = 1+x, you can show that F<KM> is equal to the F<NA>. Have fun!