  Some inequalities for probability vector are discussed. The probability
representation of quantum mechanics where the states are mapped onto
probability vectors (either finite or infinite dimensional) called the state
tomograms is used. Examples of inequalities for qudit tomograms and a state
extended uncertainly relation are considered. Tomographic cumulant related to
photon state tomographic probability distributions is introduced and it is used
as parameter of the state nongaussianity.
