Abstract
In the actual sound environment, the objective system often exhibits the non-Gaussian property, owing to physical, social and psychological factors. Many kinds of probability distributions have been proposed from various viewpoints to describe the probabilistic property of complicated random phenomena. Sometimes, a probability distribution of orthogonal series expansion type, which takes the well-known probability distribution (e.g., Gaussian, binomial distributions, etc.) as the first term and reflects the lower and higher order statistics in the expansion terms is also utilized. This paper describes a practical trial to choose the permissible order of series expansion, especially by introducing a pre-established tolerance range for the deviation of the theoretical cumulative probability from the experimental one. The minimal number of expansion terms can be rationally determined so as to satisfy the tolerance range. Finally, the effectiveness of this method is experimentally confirmed by applying it to the environmental noise.
