抄録
Directional statistics have received a great deal of interest in recent years,
and a variety of distributions on the circle have been proposed. In this paper, we
propose circular distributions of a moving average model of order p type which includes
the cardioid distribution, and discuss estimation of trigonometric moments based on
binary series. We give an explicit form of the root n consistent estimator based on
clipped series, which enables us to construct an efficient estimator by the Newton–
Raphson iterative method. We also show a robustness of the proposed estimator when
the probability density function is contaminated with a noise term.
