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Biometrika 1990 77(1):219-221;
© 1990 by Biometrika Trust
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MISCELLANEA

Bartlett's bias correction to the profile score function is a saddlepoint correction

BRUCE LEVIN and FANHUI KONG

Division of Biostatistics, Columbia University School of Public Health New York City, New York 10032, U.S.A.

Received for publication 1 March 1989. Revision received 1 September 1989.
  Abstract

Bartlett's bias correction to the profile score function is proved equal, to first order, to the leading correction term of the double saddlepoint approximation to the conditional score function in canonical exponential families.

Key Words: Bias correction • Conditional score function • Exponential family • Profile likelihood • Saddle-point approximation


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