  A method of quantum tomography of arbitrary spin particle states is developed
on the basis of the root approach. It is shown that the set of mutually
complementary distributions of angular momentum projections can be naturally
described by a set of basis functions based on the Kravchuk polynomials. The
set of Kravchuk basis functions leads to a multi-parametric statistical
distribution that generalizes the binomial distribution. In order to analyze a
statistical inverse problem of quantum mechanics, we investigated the
likelihood equation and the statistical properties of the obtained estimates.
The conclusions of the analytical researches are approved by the results of
numerical calculations.
