Abstract
To enhance precise analysis of the relationship between GNP (gross national product) and Saving (gross national saving), a long memory relationship function 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.