Mathematical Sciences: Sequential Analysis, Regression, Resampling and New Applications

调查员赫尔曼·沃尔夫将继续他的工作， 序贯分析一个问题是， m，布朗运动的漂移。假设错误的代价 决策与m无关，抽样成本为 与时间乘以漂移的平方成正比， 有限采样时间Because of the effect of normal 先验和正常和点质量先验形式的混合。 另一个需要研究的问题是序列相关性 在质量控制方面。 Escherff还将研究一种稳健的方法， 对于回归中缺失解释变量的问题 模型 在模拟领域， “bootstrap”方法的渐近有效性以及两个- 后验分布的阶段近似。 希望 这些和其他统计方法将被证明是有用的， 天文学的问题。 他还将研究 应用数据分析和模式识别技术， 识别长字符串中出现的常见连续性 在生物学问题上。

The investigator, Herman Chernoff, will continue his work in sequential analysis. One problem is that of deciding the sign of m, the drift of Brownian motion. Assuming the cost of a wrong decision to be independent of m and the sampling cost to be proportional to time multiplied by the square of the drift for bounded sampling time. Chernoff will examine the effect of normal priors and mixtures of normal and point mass priors form. Another problem to be investigated is that of serial dependence in quality control. Chernoff will also examine a robust method for the problem of missing explanatory variables in a regression model. In the area of simulation the Chernoff will study the asymptotic validity of the "bootstrap" method as well as a two- stage approximation of a posterior distribution. It is hoped that these and other statistical methods will prove useful in problems in astronomy. He will also study the possibility of applying data analytic and pattern recognition techniques to the identification of common subsequences in long strings that occur in biological problems.