To enhance precise analysis of the relationship between GNP (gross national
product) and Saving (gross national saving), a long memory relationship fu
nction is applied. From experience, it is known that assuring the variables
are always cointegrated or fractionally cointegrated is not easy, so this
letter develops a measure function to estimate the long memory relationship
between two variables. The empirical study shows that GNP and saving have
the long memory relationship d = 0.1449.