A model for the spread and control of citrus tristeza virus disease

Citrus Tristeza Virus (CTV) causes a most destructive citrus disease in many parts of the world. The strategy for controlling the disease in Israel is based on the eradication of virus-infected trees, detected by an immunological method. A model for the spread and control of CTV is described. The disease spread depends on an infection rate parameter and on a detection coefficient. Both parameters vary with time. Simulation of the model under different conditions assists us to make decisions regarding the control of CTV disease.     

On testing homogeneity of t normal means against ordered alternatives in r groups

Given k=rt normal populations with a common but unknown variance consisting of t treatments applied to r different groups of units, and supposing that in each group the means are monoto-nically non-decreasing (or non-increasing), then the likelihood ratio test of homogeneity of the means in each group against the simple order alternative is considered. Critical values are provided when one observation is drawn from each of the k populations.     

A Bayesian procedure for the sequential estimation of the mean of a negative-binomial distribution

A Bayesian procedure for the sequential estimation of the mean of a negative-binomial distribution is considered. A reasonable sequential stopping rule, based on a one-step look-ahead procedure is derived. The procedure can be applied to estimate the infestation level of insects in a given field crop area.