Meta-Gaussian distributions for mixed discrete and continuous variablesLeon, A R DeWu, BWithanage, N
Random effects, by comparison, are sample-dependent random variables. In modeling, random effects act like additional error terms, and their distributions and covariances must be specified. For example, consider a model of the elimination of a drug from the bloodstream. The model uses time t as...
distributions of products of two random variables. The Beta distribution and the t distribution are typical examples. Definition 2. Consider a randomvariable S that can be represented as S X X X N where N X X are mutually independent, non-negative, integer valued randomvariables with ...
The paper deals with construction of confidence intervals for the variance component in the family of distributions using generalized p-values. Unfortunately, when W has more than two different eigen values, the nonuniqueness of the appropriate test variable occurs. This was illustrated by Zhou and ...
There are many other link functions and corresponding distributions used in the case of generalized linear models, including generalized linear mixed models. Again, the addition of the random effect term in this setting allows for clustered or repeated data. For instance, one may be interested in ...
Select from many prior distributions or use default priors Adaptive MH sampling or Gibbs sampling with linear regression Postestimation tools for checking convergence, estimating functions of model parameters, computing Bayes factors, and performing interval hypotheses testing Quantile regression New Nonlinear...
To begin, distributions are never normal. For some this seems obvious, hardly worth mentioning, but an aphorism given by Cramér (1946) and attributed to the mathematician Poincaré remains relevant: “Everyone believes in the [normal] law of errors, the experimenters because they think it is a...
(output omitted) Mixed logit choice model Number of obs = 1,250 Case ID variable: id Number of cases = 250 Alternatives variable: plan Alts per case: min = 5 avg = 5.0 max = 5 Integration sequence: Hammersley Integration points: 567 Wald chi2(6) = 99.92 Log simulated-likelihood = -...
There have been limited efforts at statistically modeling such mixed data jointly, in part because of the lack of computationally amenable multivariate distributions that can capture direct dependencies between such mixed variables of different types. In this paper, we address this by introducing a ...
The space of possible words, and the space of possible sentences, is simply too large to be modeled by any other means. Just as we model human participants as random variables, we have to model factors characterizing their speech as random variables as well. Clark (1973) illuminated this ...