COMPARISON BETWEEN A MODIFIED BETA-FUNCTION AND A MODIFIED NORMAL-DISTRIBUTION FUNCTION FOR THE DESCRIPTION OF POPULATIONS WITH A FINITE SIZE RANGE

It has been demonstrated in a recent communication that the particle size distribution of particle populations having finite size range and a mode that is independent of the spread can be described by a given function. A more shortcoming of this distribution function is the presence of the arbitrary constant B. A way to avoid any arbitrary parameter but to maintain the independence of the mode and spread is to use a modified version of the beta function. The existence of two different mathematical expressions for the description of different kinds of size distributions raises the question of whether they can be used interchangeably. Testing this possibility by generating data with one function and fitting them with the other distribution equation is the objective of this communication.