ON THE RANGE OF CORRELATION COEFFICIENTS OF BIVARIATE ORDERED DISCRETE RANDOM VARIABLES
推导了有限或可数无限取值二元离散随机向量相关系数的取值范围，并证明Van Ophem（1999）提出的正态变换离散二元概率系统的相关系数具有灵活性，且与二元正态相关系数参数呈严格单调关系。
The range of correlation coefficient of any bivariate discrete random vector with finite or countably infinite values is derived. We show analytically that the normal-transformed discrete bivariate probability system of Van Ophem (1999, Econometric Theory 15, 228–237) has a flexible correlation coefficient. We establish the strictly monotonic relation of its correlation coefficient with the bivariate normal correlation-coefficient parameter in the system.