It is well known that the Multinomial Logit model for the choice probability can be obtained by considering a random utility model where the choice variables are independent and identically distributed with a Gumbel distribution. In this paper we organize and summarize existing results of the literature which show that using some results of the extreme values theory for i.i.d. random variables, the Gumbel distribution for the choice variables is not necessary anymore and any distribution which is asymptotically exponential in its tail is sufficient to obtain the Multinomial Logit model for the choice probability.
A Recent Approach to Derive the Multinomial Logit Model for Choice Probability / Tadei, Roberto; Perboli, Guido; Manerba, Daniele. - STAMPA. - 1(2018), pp. 473-481.
Titolo: | A Recent Approach to Derive the Multinomial Logit Model for Choice Probability |
Autori: | |
Data di pubblicazione: | 2018 |
Titolo del libro: | New Trends in Emerging Complex Real Life Problems |
Abstract: | It is well known that the Multinomial Logit model for the choice probability can be obtained by c...onsidering a random utility model where the choice variables are independent and identically distributed with a Gumbel distribution. In this paper we organize and summarize existing results of the literature which show that using some results of the extreme values theory for i.i.d. random variables, the Gumbel distribution for the choice variables is not necessary anymore and any distribution which is asymptotically exponential in its tail is sufficient to obtain the Multinomial Logit model for the choice probability. |
ISBN: | 978-3-030-00472-9 978-3-030-00473-6 |
Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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chapter.pdf | Post-print | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
logit model_2.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2725056