Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi, I have a random variable V with probability density g(V) and a sigmoid, or logistic, function Y=S(V). I'd like to calculate a closed-form expression for the expected value of the sigmoid function transformation, i.e., a closed-form expression for E[Y]. My question is, for which standard probability density function can we write a closed-form expression for the expected value of the sigmoid function transformed r.v. Y? For example, uniform distribution is an obvious example of a density function that satisfies the requirement. I'd be very grateful for points anything whatsoever. Thank you!

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.