More about Geary and the "Taxi" problem
Geary, R. C.
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Citation:Conniffe, Denis. 'More about Geary and the "Taxi" problem'. - Economic & Social Review, Vol. 27, No. 2, January, 1996, pp. 137-143, Dublin: Economic & Social Research Institute
Geary's treatment of the "taxi" problem was recently re-examined by Spencer and Largey (1993). This paper investigates the topic further, partly to place Geary's estimator in the context of more general methods and also because non-regular estimation situations are still of considerable theoretical interest. It is shown that Geary's estimator can be considered a case of an approach that equates a sufficient estimator to the median of its own distribution or of a modern method called the "Maximum Product of Spacings". Another approach of equating a sufficient estimator to its own expectation is considered and compared. Much of the interest in estimators for non-regular situations stems from the deficiencies of the maximum likelihood method in these cases. The discussion of Geary's estimator and alternatives is used to explain the problem and suggest solutions.
Publisher:Economic & Social Research Institute