This paper concentrates on the study of a stochastic system involving stationary point processes. The system that is called muscle spindle, is a component of the neuromuscular system and plays a critical role in the initiationof movement and in the maintenanceof posture.Theincoming information to the system is a stimulus from an alpha or a gamma motoneuron whereas the outgoing information is the response of the muscle spindle transmitted by a sensory afferent neuron to the spinal cord. It is proved that the asymptotic distribution of certain modified parameters describing the interconnections of the input and output processes are Normally distributed. This permits the construction of pointwise confidence intervals in order to measure the degree of association between the two processes in a more meaningful way and to examine the overall sampling behavior of the system under different stimuli, as well.

product density, conditional intensity function, asymptotic normality, variance-stabilizing transformations, muscle spindle.