A test for normality based on the empirical characteristic function
which is the characteristic function
of a random variable with distribution function
Earlier it was shown (Krylovas, Kosareva 2008a, b) how segments of linear functions could be used as an item characteristic function
and also as a probability density function of the population knowledge level.
Then the approximate expression of characteristic function
, describing the intensity distribution in the reconstructed interferogram will be conditioned only by the vibration component [A.
To fit the stable distribution to a time series, one needs the initial values of the four parameters of the characteristic function
apply the concept of characteristic function
to non-stationary processes, in particular in the presence of stochastic volatility and more generally time change techniques
ii)  The characteristic functions
of a regular open set is CLSC.
In order to prove the Gaussian limits we consider the characteristic functions
The geometrical--constructive configuration of the generalized item is obtained from the logical characteristic function
by using the database.
They invert the characteristic function
of the total claims distribution and compare those approximations to the tail of the loss distribution with the Normal Power method.
E] denotes the characteristic function
of E and we denote (H) [[integral].
With a suitable normalization, namely, [tau] = t/[square root of N] with t fixed, one gains access in this way to the characteristic function
of the (properly scaled) A-extinction time T.