How to check whether $\sin(t)\over t$ is a characteristic function or not?
If $\sin(t)\over t$ is a distribution function.
Asked
Active
Viewed 78 times
-1
-
You could recognise which distribution that it's a characteristic function of. – Angina Seng Sep 18 '18 at 20:42
1 Answers
0
It is not a distribution function because it takes negative values. It is the characteristic function of uniform distribution on $(-1,1)$. Unfortunately, there is no practical way of determining whether a given function is a characteristic function.
Kavi Rama Murthy
- 311,013