In the absolutely continuous case, order statistics, record values and several other models of ordered random variables can be viewed as special cases of generalized order statistics, which enables a unified treatment of their theory. This paper deals with discontinuous generalized order statistics, continuing on the recent work of Tran (2006). Specifically, we show that in general neither re...

This paper considers the censored regression model under the assumption that the regressors are integrated. We show that Maximum Likelihood estimation is superconsistent and asymptotically mixed normal, implying that standard inference techniques remain valid, and that in general least squares estimation based on the positive observations only is superconsistent, but not mixed normal. An except...

The Tobit model (censored regression model) is an important basic model appearing in many applications in economics. In this paper we consider a duration Tobit model in which a duration variable which counts the number of times the data is being censored is included as a covariate. We show that in this case, the dependent variable eventually becomes degenerate, which makes the asymptotic Fisher...

This paper considers efficient estimation of structural parameters in a class of semiparametric models where these parameters are irregularly identified. For such models conventional semiparametric efficiency bound calculations of Stein(1956) are of little use as they do not result in finite bounds. Thus the notion of efficiency has to be reconsidered for this class of models and we attempt to ...

fitting of regression models to life data, where the life distribution location parameter is a linear function of covariates. The fitting yields maximum likelihood estimates of parameters of a regression model with a Weibull, exponential, extreme value, normal, lognormal, logistic, loglogistic, or generalized gamma distribution. The data can be complete, right censored, left censored, or interv...

We fit a Cox proportional hazards (PH) model to interval-censored survival data by first subdividing each individual's failure interval into nonoverlapping sub-intervals. Using the set of all endpoints in set, those that fall are then used as cut points for Each sub-interval has an accompanying weight calculated from parametric Weibull based on current parameter estimates. A weighted PH is with...

Contributions to public goods simulated in economists' laboratory experiments have two peculiarities from the perspective of statistical modelling. There is a variety of contributor behaviours (Ledyard, 1995), suggestive perhaps of separate classes of individuals, and contributions are doubly censored. We present an econometric model of contributions in sequential play, which takes into account...