The process of nonindigenous species (NIS) arrival has received limited theoretical consideration despite importance in predicting and preventing the establishment of NIS. We formulate a mechanistically based hierarchical model of NIS arrival and demonstrate simplifications leading to a marginal distribution of the number of surviving introduced individuals from parameters of survival probabili...

We study the distribution of residence time or equivalently that of "mean magnetization" for a family of Gaussian Markov processes indexed by a positive parameter alpha. The persistence exponent for these processes is simply given by theta=alpha but the residence time distribution is nontrivial. The shape of this distribution undergoes a qualitative change as theta increases, indicating a sharp...

Leaf area index, defined as one half the total (all sided) leaf area per unit ground surface area [1], is a key vegetation structural parameter used in most ecological, hydrological and meteorological models to describe physical and biological processes associated with vegetated surfaces and their interaction with the atmosphere. The accuracy of existing global LAI parameters is not yet satisfa...

In this article we emphasize the manner in which this statistical indicator the variation coefficient (v) could help the inference on measurable characteristics generated by technological processes. Our interest lies upon the so-called SPCStatistical Process Control; the main result obtained is the following: if the coefficient of variation is known, then the statistical distribution of capabil...

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator MLE of ...

A process is a unique combination of manpower, machines, methods and materials in providing a product or service. Process capability indices have been used in the manufacturing industry to provide quantitative measures of process potential and performance. High quality production provides advantages such as cost saving, reduced scrap or remanufacturing, higher yield and increased customer satis...