I am doing some analysis and I have come up with the following integral:
where a>0, b>0 and c>0.
I have found out this integral has a solution in terms of the Gaussian hypergeometric function http://en.wikipedia.org/wiki/Hypergeometric_function but it...
Is it possible to express the kurtosis \kappa, or the 4th central moment \mu_4, of a random variable X in terms of its mean \mu = E(X) and variance \sigma^2 = Var(X) only, without having to particularize to any distribution?
I mean, an expression like \kappa = f(\mu, \sigma^2) or \mu_4...
I'm trying to solve the following problem.
The number of successes in a sequence of N yes/no experiments (i.e., N Bernoulli trials), each of which yields success with probability p, is given by the well-known binomial distribution. This is true if the success probability p is...
I'm trying to solve the definite integral between 0 and inf of:
exp(a*x^2 + b*x + c)
1 + exp(m*x + n)
with a,b,c,m,n real numbers and a < 0 (negative number so it converges).
I've read in the forum's rules that I have to post the work that I have...