Redesigning of Lotka’s Law with Simpson’s 3/8 Rule

Abstract

The paper examines the possibility of applying higher degree numerical integration method upon Lotka’s distribution data. The widely used method applied here is Pao method which precisely calculate the value of the constant C and this is a very crucial and deterministic controlling factor to define the behaviour of the authors’ productivity distribution fitted to Lotka’s equation. Simpson’s 3/8 rule has been used to derive a new equation for the calculation of a much refined constant C and fitted to original Chemical Abstract and Auerbach data.

Keywords: Lotka’s Law; Empirical Law; Numerical Integration; Simpson’s 3/8 Rule