论文信息 - Correlation in a singly truncated bivariate normal distribution

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.

M. Aitkin | M. A. Aitkin

[1] A. Cohen. RESTRICTION AND SELECTION IN MULTINORMAL DISTRIBUTIONS , 1957 .

[2] John P. Mills. TABLE OF THE RATIO: AREA TO BOUNDING ORDINATE, FOR ANY PORTION OF NORMAL CURVE , 1926 .

[3] F. G. Mehler. Ueber die Entwicklung einer Function von beliebig vielen Variablen nach Laplaceschen Functionen höherer Ordnung. , 1866 .

[4] A. Cohen. Restriction and Selection in Samples from Bivariate Normal Distributions , 1955 .

[5] R. D. Gordon. Values of Mills' Ratio of Area to Bounding Ordinate and of the Normal Probability Integral for Large Values of the Argument , 1941 .

[6] Z. W. Birnbaum,et al. ON THE EFFECT OF TRUNCATION IN SOME OR ALL COORDINATES OF A MULTINORMAL POPULATION , 1951 .

[7] J. A. Rafferty,et al. Estimation of parameters in a truncated trivariate normal distribution , 1950, Psychometrika.

[8] M. G. Kendall,et al. iv) Proof of Relations connected with the Tetrachoric Series and its Generalization , 1941 .

[9] Z. Birnbaum. Effect of Linear Truncation on a Multinormal Population , 1950 .

[10] MEANS AND STANDARD DEVIATIONS OF A TRUNCATED NORMAL BIVARIATE DISTRIBUTION , 1959 .

[11] A. Cohen. ON THE SOLUTION OF ESTIMATING EQUATIONS FOR TRUNCATED AND CENSORED SAMPLES FROM NORMAL POPULATIONS , 1957 .

[12] Z. W. Birnbaum,et al. On the effect of selection performed on some coordinates of a multi-dimensional population , 1950, Psychometrika.