Discrete choice models are usually derived from the assumption of random utility maximization. We consider the reverse problem, whether choice probabilities are consistent with maximization of random utilities. This leads to tests that consider the variation in these choice probabilities with the average utilities of the alternatives. By restricting the range of the average utilities we obtain ...

Models based on a power law are prevalent in many areas of study. When regression analysis is performed on data sets modeled by a power law, the traditional model uses a lead coefficient. However, the proposed model replaces the lead coefficient with a scaling parameter and reduces uncertainties in best-fit parameters for data sets with exponents close to 3. This study extends previous work by ...

In this article, we develop a statistical inference technique for the unknown coefficient functions in the varying coefficient model with random effect. A residual-adjusted block empirical likelihood (RABEL) method is suggested to investigate the model by taking the within-subject correlation into account. Due to the residual adjustment, the proposed RABEL is asymptotically chi-squared distribu...

Abstract This article considers the application of Langevin dynamics to sampling and investigates how choose damping parameter in for purpose maximizing thoroughness sampling. Also, it computation measures thoroughness. Graphic abstract

Inspired by the interactive discrete choice logit models [Aggarwal, 2019], this paper presents the advanced families of discrete choice models, such as nested logit, mixed logit, and probit models to consider the interaction among the attributes. Besides the DM's attitudinal character is also taken into consideration in the computation of choice probabilities. The proposed choice models make us...

We provide a theory of random intertemporal choice. Choice is random due to unobserved heterogeneity in discounting from the perspective of a modeler. First, we show that the modeler can identify the distribution of discount rates uniquely from random choice. We then provide axiomatic characterizations of random discounting utility models, including exponential and quasi-hyperbolic discounting ...

In this report new unranking algorithms are developed for a large class of choice functions representing various classes of combinatorial objects: combinations, complementary combinations, conjugative nondecreasing choice functions, ordered partitions. Presented algorithms differ with the type of lexicographical order they deal with and the method of binomial coefficient evaluation. The proofs ...

This article discusses estimation of multilevel/hierarchical linear models that include cluster-level random intercepts and random slopes. Viewing the models as structural, the random intercepts and slopes represent the effects of omitted cluster-level covariates that may be correlated with included covariates. The resulting correlations between random effects (intercepts and slopes) and includ...