  In this paper, we calculate the Mandel parameter $Q_M$ for an oscillator-like
system generated by generalized Chebyshev polynomials \cite{01}, \cite{02},
\cite{03}. The sign of the Mandel parameter $Q_M$ characterizes the deviation
of the excitation statistics from the Poisson one. This work is a continuation
of our works \cite{04}, \cite{05}.
