characteristic function in a sentence

Examples

1. The geometric stable characteristic function can be expressed in terms of a stable characteristic function as:
2. Specifically, a game is " convex " if its characteristic function v is supermodular:
3. :Even better is to have a look at the article Characteristic function ( probability theory ).
4. Using the characteristic function representation for the wrapped normal distribution in the left side of the integral:
5. The characteristic function representation for the wrapped Cauchy distribution in the left side of the integral is:
6. But a geometric stable distribution can be defined by its characteristic function, which has the form:
7. In other words, the probability is obtained by integrating the characteristic function of against the countably additive measure
8. The right hand side equals the characteristic function of a standard normal distribution, which implies through sample average
9. A random variable " X " is called stable if its characteristic function can be written as
10. There is also a relationship between the stable distribution characteristic function and the geometric stable distribution characteristic function.