Mathematical Sciences: Sequential Sampling Designs

该项目是对由序贯抽样方案产生的时变失效过程的一类广泛的模型的数学发展。所考虑的特定模型是对Polya-Eggenberger骨灰盒模型的修改和扩展。本项目涉及序贯抽样设计。序贯抽样设计被广泛应用于按顺序进行观察的情况，例如到达传送带上的物体，或出现在临床实验中的物体。

This project is a mathematical development of a broad class of models of time dependent failure processes arising from sequential sampling schemes. The particular models considered are modifications and extensions of Polya-Eggenberger urn models. This project is concerned with sequential sampling designs. Sequential sampling designs are widely used in situations where observations are made in sequence, such as objects arriving on conveyor belts, or objects appearing in clinical experiments.