Estimation of the Exponential Distribution in the Light of Future Data
Kunio Takezawa *
Agroinformatics Division, Agricultural Research Center, National Agriculture and Food Research Organization, Kannondai 3-1-1, Tsukuba, Ibaraki 305-8666, Japan.
*Author to whom correspondence should be addressed.
Abstract
The maximum likelihood estimator does not always maximize the expected log-likelihood when estimating the exponential distribution using a small data set. The maximum likelihood estimator should be multiplied by a positive constant that only depends on the amount of data.
Keywords: Expected log-likelihood, exponential distribution, maximum likelihood estimator, optimization