POINT ESTIMATES OF ORDINATES OF CONCAVE FUNCTIONS
成果类型：
Article
署名作者：
HILDRETH, C
刊物名称：
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN/ISSBN：
0162-1459
DOI：
10.2307/2281132
发表日期：
1954
页码：
598-619
关键词：
摘要：
A method is developed for obtaining maximum likelihood estimates of points on a surface of unspecified algebraic form when ordinates of the points are required to satisfy a set of linear inequalities. A production function with one variable input is considered in some detail. In this case the restrictions follow from the assumption of non-increasing returns. An illustrative computation is worked out using a procedure based on equivalence between the estimation problem and a certain saddle problem. Alternative procedures for production functions with two variable inputs are sketched.