Transactions of KarRC RAS :: Scientific publications

М.В. Солдаткина.

Оценивание параметров в одной модели случайных подстановок

// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии. Вып. 3. 2012. C. 106-109

M.V. Soldatkina. Parameter estimation for a random permutations model // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. Vol. 3. 2012. Pp. 106-109

Keywords: random permutations, congruent cycles, parametric model, asymptotic parameter estimation

In the context of a d-dimensional parametric model of random n-permutations, as n → ∞, we established the joint asymptotic normality of the numbers of congruent cycles in a random permutation. We study the issues of estimating the parameters θ =(θ₁, ... ,θ_d) of the model for observation of the cycle structure vector.