Fibre orientation in machine-made paper

Application of theories of the mechanical behaviour of machine-made paper requires statistical knowledge of the fibre orientation, Efficient experimental techniques are now available for obtaining the necessary data. These data are best represented in the form of a one-parameter distribution function. Several such distributions are offered in the literature to represent angular data. Some of the more common distributions are examined and it is shown that the wrapped Cauchy distribution is best able to predict the observed mechanical properties of a typical machine-made paper sheet.