What would be the variance for complex number?

1. What is the variance of Z?
2. Can standard deviation be complex?
3. Can probability density be complex?
4. Can probabilities be complex numbers?

What is the variance of Z?

As such, the variance of Z is equal to the variance of X plus the variance of Y. The standard deviation of Z is equal to the square root of the variance.

Can standard deviation be complex?

However, they do not give much indication of the spread of observations about the mean. This is where the standard deviation (SD) comes in. The theoretical basis of the standard deviation is complex and need not trouble the ordinary user.

Can probability density be complex?

probability density functions for both real and imaginary components. variable is also complex.

Can probabilities be complex numbers?

In probability theory and statistics, complex random variables are a generalization of real-valued random variables to complex numbers, i.e. the possible values a complex random variable may take are complex numbers.