Extremal Behaviour, Weak Convergence and Argmax Theory for a Class of Non-Stationary Marked Point Processes
(English)Manuscript (preprint) (Other academic)
We formulate a random utility model where we choose from n options1; ; n. The options have associated independent and identicallydistributed (i.i.d) random variables fXi;Uigni=1, where Xi arethe characteristics of option i and Ui is its associated utility.We use the connection between point processes and extreme valuetheory to analyze the statistical properties of choice characteristics Xof the object with the highest utility as n ! 1. We derive analyticexpressions of the asymptotic distribution of choice characteristics fora range of distributional assumptions on the utilities Ui.In our discussion section, we suggest an extension of our method toallow us to further relax our distributional assumptions. We also showhow our theoretical model can be used to explain empirical patternsrelating to commuting time distributions.
Probability Theory and Statistics
IdentifiersURN: urn:nbn:se:su:diva-90159OAI: oai:DiVA.org:su-90159DiVA: diva2:623285