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Biometrika 1969 56(3):505-508; doi:10.1093/biomet/56.3.505
© 1969 by Biometrika Trust
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Note on a calibration problem

G. M. TALLIS

C.S.I.R.O., Newtown, New South Wales

The problem of obtaining a satisfactory estimate of a variable X from another variable Y, where X and Y have joint frequency function {varphi}(x, y; {theta}), is considered under the restriction that only Y and Y|X = x can be observed. This raises the question as to whether or not {varphi} can be determined from the frequency functions of Y and Y|X = x. It is found that the latter problem is related to the theory of the identifiability of mixtures of distributions. The information associated with Y and the bivariate viewpoint are used for a fresh approach to a problem of calibration. The standard technique is examined in the light of the new approach.


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