论文信息 - A Bayesian Analysis of the Linear Calibration

A Bayesian Analysis of the Linear Calibration

As part of a Bayesian analysis of the linear calibration problem, a posterior distribution is derived that is mathematically identical to the structural distribution obtained by Kalotay (1971), but different from the Bayesian distribution obtained by Hoadley (1970). Useful approximations are given. Although this posterior distribution has infinite variance, no practical problems arise in using it. The controversy concerning infinite variances and the use of inverse regression is discussed.

W. Lamboy | Warren F. Lamboy

[1] E. J. Williams. A Note on Regression Methods in Calibration , 1969 .

[2] On the Choice of Regression in Linear Calibration. Comments on a paper by R. G. Krutchkoff , 1970 .

[3] G. K. Shukla. On the Problem of Calibration , 1972 .

[4] E. C. Fieller. SOME PROBLEMS IN INTERVAL ESTIMATION , 1954 .

[5] R. G. Krutchkoff,et al. Classical and Inverse Regression Methods of Calibration , 1967 .

[6] H. Scheffé. A Statistical Theory of Calibration , 1973 .

[7] B. Hoadley. A Bayesian Look at Inverse Linear Regression , 1970 .

[8] Joseph Berkson,et al. Estimation of a Linear Function for a Calibration Line; Consideration of a Recent Proposal , 1969 .

[9] Max Halperin,et al. On Inverse Estimation in Linear Regression , 1970 .