论文检索

变换后 Fay–Herriot 模型中的均方误差估计AI 解读

Summary The problem of accurately estimating the mean-squared error of small area estimators within a Fay–Herriot normal error model is studied theoretically in the common setting where the model is fitted to a logarithmically transformed response variable. For bias-corrected empirical best linear unbiased predictor small area point estimators, mean-squared error formulae and estimators are provided, with biases of smaller order than the reciprocal of the number of small…

两样本删失生存数据的序贯线性秩检验AI 解读

Under extremely general patterns of patient-arrival, allocation to treatment and loss to follow-up in (randomized) clinical trial settings, the sequentially computed logrank statistic (Mantel, 1966) is shown (under the null hypothesis of identically distributed lifetimes) to have exactly uncorrelated increments, and is shown via Rebolledo's (1980) martingale invariance principle to satisfy a functional central limit theorem, justifying sequential logrank tests of Jones and…

相依竞争风险与汇总生存曲线AI 解读

In many contexts where there is interest in inferring the marginal distribution of a survival time T subject to censoring embodied in a latent waiting time C, the times T and C may not be independent. This paper presents a new class of nonparametric assumptions on the conditional distribution of T given C and shows how they lead to consistent generalizations of the Kaplan & Meier (1958) survival curve estimator. The new survival curve estimators are used under weak…

相依竞争风险与汇总生存曲线AI 解读

In many contexts where there is interest in inferring the marginal distribution of a survival time T subject to censoring embodied in a latent waiting time C, the times T and C may not be independent. This paper presents a new class of nonparametric assumptions on the conditional distribution of T given C and shows how they lead to consistent generalizations of the Kaplan & Meier (1958) survival curve estimator. The new survival curve estimators are used under weak…

部分似然推断的一致性与效率AI 解读

Under various parameterizations of the two-sample survival problem with nuisance hazards and fixed or independent right-censoring, the consistency and efficiency of maximum partial likelihood estimators and partial likelihood score tests are investigated rigorously. Consistency of estimation is shown to be typical but full efficiency of tests seems to hold generally only when regression parameters and nuisance parameters enter the hazard function symmetrically.

平稳时间序列的一个刻画问题AI 解读

If a strictly stationary process $\{Z_k\}$ has residuals $Z_{k+1} - \sum^k_{j=1} a_{k,j}Z_j$ independent of $(Z_1, \cdots, Z_k)$ for all $k \geq m$, it is shown that the process is Gaussian or degenerate or $m$-step Markovian. Generalized (nonlinear) autoregressive stationary processes are defined and partially characterized.

部分似然推断的一致性与效率AI 解读

Under various parameterizations of the two-sample survival problem with nuisance hazards and fixed or independent right-censoring, the consistency and efficiency of maximum partial likelihood estimators and partial likelihood score tests are investigated rigorously. Consistency of estimation is shown to be typical but full efficiency of tests seems to hold generally only when regression parameters and nuisance parameters enter the hazard function symmetrically.