抄録
This paper is related to represent the probability density function of the population effectively from the large sample by variation diminishing spline function which have "shape-preserving properties", and to show its characteristic function. Variation diminishing spline functions have the advantage of "shape-preserving properties", and they are represented by a few knots and nodes moreover. Variation diminishing spline function is obtained to approximate the polygonal function which is a solution of a system of linear equations by using the theory of the generalized inverse matrices. In numerical examples, the figures will show that the probability density function represented by variation diminishing spline function how faithfully reproduce the probability density function of the population.
