To treat with social phenomena, statistical and mathematical physics provides a powerful and rigorous method [1], and several papers have studied the models of social phenomena based on stochastic processes. Many researchers in econometrics or biometrics have proposed that the discrete choice including binary analysis may be formulated as the AR (autoregressive), logit, and probit models [2]. I...

Innovation strategies of entrepreneurs are mapped with growth and performance of their firms in this study. Findings of the study are based on the data collected from 1238 small ICT firms located in 25 member states of European Union. The survey was conducted during October 2006 and March 2007. Results of Logit analysis suggest that firms that pursued continuous innovation strategies experience...

This paper investigates single-family residential development for housing market equilibria using microeconomic theory and disaggregate spatial data. Mixed logit models and notions of price competition are used to simulate household location choices for three different household segments, assuming job sites of household members are known. Consistent with bid-rent theory, housing market equilibr...

This paper discusses the representability of discrete logit-type models including multinomial logit and nested logit model from a mathematical approach. It is shown that the logit-type models can be reconstructed from mathematical approximation theory with sigmoidal functions widely used in Neural Network modeling without the basic assumptions such as IIA and iid, and the distribution (or densi...

Among different stochastic user equilibrium (SUE) traffic assignment models, the Logit-based stochastic user equilibrium (SUE) is extensively investigated by researchers. It is constantly formulated as the low-level problem to describe the drivers' route choice behavior in bi-level problems such as network design, toll optimization et al. The Probit-based SUE model receives far less attention c...

This paper studies the effects of English proficiency on employment of U.S. foreign-born immigrants, using data from the 2001 American Community Survey (ACS). It shows that English proficiency plays an important role in immigrants’ employment and its effects on employment patterns across genders are different. Probit regressions show that immigrants with a higher level of English proficiency ar...

Overview: Categorical Data and Graphics Methods for discrete distributions – testing goodness of fit Hanging rootograms Robust distribution plots Methods for two-way frequency tables – understanding association Fourfold displays Sieve diagrams Mosaic displays and loglinear models for n-way tables Mosaic displays Mosaic matrices Correspondence analysis and MCA Logistic and logit regression Logit...

While there is growing application of generalized ordered outcome model variants (widely known as Generalized Ordered Logit (GOL) model and Partial Proportional Odds Logit (PPO) model) in crash injury severity analysis, there are several aspects of these approaches that are not well documented in extant safety literature. The current research note presents the relationship between these two var...