Stochastic Models for the Direction of a Silkworm Body during Cocoon Construction

抄録

We fitted a probability distribution to the directions of a silkworm body and proposed a time series model for variations of the silkworm’s position during cocoon construction. The analysis of real data showed that the directions of the body approximately followed a mixture distribution of two Fisher densities on a unit sphere except at an early stage of spinning. In addition, it revealed that the autoregressive model we proposed was appropriate to represent periodicity for the variation of positions fixed by the silkworm.