Abstract

This paper studies the inference problems of an extension of Fisher's bivariate exponential model, using his method of conditional inference based on the observed value of ancillary statistics. In the process we discover a simple method of obtaining the values of maximum likelihood estimates and their distributions conditional on the ancillary statistics. An application in reliability estimation is given. An error in Fisher's derivation of conditional information related to his bivariate model is also indicated and corrected.

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