Choice probability generating functions
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Choice probability generating functions. / Fosgerau, Mogens; McFadden, Daniel; Bierlaire, Michel.
I: Journal of Choice Modelling, Bind 8, 2013, s. 1-18.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Choice probability generating functions
AU - Fosgerau, Mogens
AU - McFadden, Daniel
AU - Bierlaire, Michel
PY - 2013
Y1 - 2013
N2 - This paper considers discrete choice, with choice probabilities coming from maximization of preferences from a random utility field perturbed by additive location shifters (ARUM). Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice probabilities, and every CPGF is consistent with an ARUM. We relate CPGF to multivariate extreme value distributions, and review and extend methods for constructing CPGF for applications. The choice probabilities of any ARUM may be approximated by a cross-nested logit model. The results for ARUM are extended to competing risk survival models.
AB - This paper considers discrete choice, with choice probabilities coming from maximization of preferences from a random utility field perturbed by additive location shifters (ARUM). Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice probabilities, and every CPGF is consistent with an ARUM. We relate CPGF to multivariate extreme value distributions, and review and extend methods for constructing CPGF for applications. The choice probabilities of any ARUM may be approximated by a cross-nested logit model. The results for ARUM are extended to competing risk survival models.
KW - Additive random utility
KW - Choice probability generating functions
KW - Discrete choice
UR - http://www.scopus.com/inward/record.url?scp=84881170683&partnerID=8YFLogxK
U2 - 10.1016/j.jocm.2013.05.002
DO - 10.1016/j.jocm.2013.05.002
M3 - Journal article
AN - SCOPUS:84881170683
VL - 8
SP - 1
EP - 18
JO - Journal of Choice Modelling
JF - Journal of Choice Modelling
SN - 1755-5345
ER -
ID: 181872088