Distribution of the number of nonappearing lengths of cycles in a random mapping

One-to-one random mappings of the set $\{1,2,\dots,n\}$ onto itself are considered. Limit theorems are proved for the quantities $\mu_i$, $0\le i\le n$, $\max\limits_{0\le i\le n}\mu_i$, $\min\limits_{0\le i\le n}\mu_i$, where $\mu_i$ is the number of 0leilen components of the vector ($\alpha_1,\alpha_2,\dots,\alpha_n$) which are equal to $i$, $0\le i\le n$ and $\alpha_r$ is the number of components of dimension $r$ of the random mapping.