Technical Note—Two Properties of the Nested Logit Model
Author(s) -
Carlos F. Daganzo,
M Kusnic
Publication year - 1993
Publication title -
transportation science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.965
H-Index - 115
eISSN - 1526-5447
pISSN - 0041-1655
DOI - 10.1287/trsc.27.4.395
Subject(s) - nested logit , mixed logit , scaling , logit , mathematics , likelihood function , maxima , maximum likelihood , function (biology) , logistic regression , simple (philosophy) , interpretation (philosophy) , statistics , econometrics , nested set model , log linear model , mathematical optimization , computer science , linear model , data mining , geometry , art , philosophy , epistemology , evolutionary biology , performance art , programming language , biology , art history , relational database
This paper presents simple formulae for the utility covariances of the nested logit (NL) model, and based on these defines a “scaled tree” that can be used as an aid for the interpretation of estimation results. The paper also shows that the full information log-likelihood function of linear-in-the-parameters NL models is concave in the utility parameters. Thus, conditional on the scaling parameters, full information maximum likelihood (FIML) searches cannot get trapped in local maxima.
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