In a special case of the general linear mixed model, one random component obeys a spatial autoregressive process and another a temporal autoregressive process. The population and any affiliations to subpopulations may change in time. The empirical best linear unbiased predictor is derived and...

Mark-resighting constitutes an advanced technology for estimating animal abundance. Joint hypergeometric maximum likelihood, Minta-Mangel and Bowden estimators are usually adopted with mark-resighting data. In presence of any tendency of animals to aggregate into groups, the Bowden estimator is...

The knowledge of first-order inclusion probabilities characterizing a sampling scheme is essential in design-based estimation of finite population totals. Sometimes the scheme is so complex that these probabilities cannot be computed exactly. Instead, both inclusion probabilities and...

In the Fay-Herriot model, a prior distribution for the variance component allows posterior moments to be approximated with the Laplace method, avoiding computer intensive Monte Carlo Markov chains. The extremely skewed posterior distribution of the variance component results from the asymmetry...

Nineteenth-century U.S. Black and White body mass indexes (BMIs) were distributed symmetrically; neither wasting nor obesity was common. BMI values were also greater for Blacks than for Whites. During industrialization in the nineteenth century in the United States, there was a negative...

The logistic equation with a periodic or asymptotically periodic treatment has a delay either in the per head growth rate or in the net growth rate. When the treatment is constant over time, there exists at most one supercritical Hopf bifurcation for some critical value of the delay. We provide...

Age at first marriage, after controlling for socio-economic and demographic variables, varies across regions and districts. A geo-additive hazard model allows for measuring spatial effects. The nonlinear and baseline effects are modeled by Bayesian penalized splines; spatial components are...

A generic globally applicable integral equation allows the estimation of hidden drug use. Formulas for estimating the prevalence of drug use are provided for both the assumed and known latency period. Estimates of prevalence of opiate use in Ireland ranging from 7,955 [5,789, 10,122] to 11,986...

The model of an immune system reaction against malignant gliomas proposed by Kronik and co-workers is simplified to the main components of the immune reaction, which are tumor cells and cytotoxic T-lymphocytes. The system has nonlinear terms with three delays, but remains tractable. For...