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渐近得分统计过程及恒定风险率对单变点备择的检验
The problem of testing for a constant failure rate against alternatives with failure rates involving a single change-point is considered. The asymptotic significance level for tests based on maximal score statistics are shown to involve the solution to a first passage time problem for an Ornstein-Uhlenbeck process. An example illustrates the methodology.
疾病发生的 Logistic 模型与病例对照研究
The probability of disease development in a defined time period is described by a logistic regression model. A model for the regression variable, given disease status, is induced and is applied to case-control data. It is shown that the odds ratio estimators and their asymptotic variance matrices may be obtained by applying the original logistic regression model to the case-control study as if the data had been obtained in a prospective study. This result gives a flexible…
次序统计量间距
Summary The distribution theory and possible constructions for spacings (differences) between successive order statistics of a sample of independent and identically distributed random variables are reviewed. The problem of finding the limiting distribution of a function of spacings is discussed and some general limit theorems for such are presented.