Correlation in a singly truncated bivariate normal distribution

The correlation in a singly truncated binormal distribution is obtained in terms of Mills' ratio using the Mehler identity. A table of the correlation in the underlying distribution as a function of the correlation in the truncated distribution is presented, together with a diagram summarizing this relationship.I wish to express my appreciation to Professor H. O. Lancaster of the Department of Mathematical Statistics, Sydney University, for the suggestion of this problem.