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The Use of a Symbol Processing Computer Language in Point Estimation of Parameters and in Construction of Confidence Intervals
Author(s) -
Quednau H. D.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240206
Subject(s) - lisp , symbol (formal) , logarithm , confidence interval , computer science , algorithm , point (geometry) , point estimation , estimation , computer program , mathematics , function (biology) , statistics , programming language , mathematical analysis , geometry , management , evolutionary biology , economics , biology
This paper presents a method to generate automatically computer programs which are necessary for parameter estimation, hypothesis tests and construction of confidence intervals by the maximum likelihood method. The spectral or density function of the random variable is arbitrary, but must be known and given in closed form. The programming language used is the symbol processing language LIBAFORM, whose statements are interpreted by a package of LISP‐routines. The application of the method is illustrated by the analysis of a linear model whose residuals follow a logarithmic F ‐distribution, and the analysis of a dose‐response curve.