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Estimation of the Rate of Diagnosis of HIV Infection in HIV Infected Individuals

HIV 感染者中感染诊断率的估计

Estimation of the rate of diagnosis of HIV infection in a population of HIV infected persons is considered based on AIDS case reports and associated times of first diagnosis of HIV infection. The incorporation of a model for HIV infection diagnosis into the usual backcalculation framework is described. The methods are illustrated for AIDS reports on homosexual men in England and Wales.

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Estimation of the rate of diagnosis of HIV infection in HIV infected individuals

HIV 感染者中感染诊断率的估计

Estimation of the rate of diagnosis of HIV infection in a population of HIV infected persons is considered based on AIDS case reports and associated times of first diagnosis of HIV infection. The incorporation of a model for HIV infection diagnosis into the usual backcalculation framework is described. The methods are illustrated for AIDS reports on homosexual men in England and Wales.

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A Mixture Model for Time to AIDS Data with Left Truncation and an Uncertain Origin

考虑左截断与感染时点不确定性的艾滋病发病时间混合模型

The use of a mixture model to estimate the probability of developing AIDS after HIV infection and the distribution of incubation time is investigated. The possibility of left truncation and an uncertain time of infection is incorporated into the analysis. The efficiency losses associated with uncertain infection times are investigated. An example is given.

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A mixture model for time to AIDS data with left truncation and an uncertain origin

存在左截断和不确定起点的艾滋病发病时间混合模型

The use of a mixture model to estimate the probability of developing AIDS after HIV infection and the distribution of incubation time is investigated. The possibility of left truncation and an uncertain time of infection is incorporated into the analysis. The efficiency losses associated with uncertain infection times are investigated. An example is given.

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On a Singularity in the Likelihood for a Change-Point Hazard Rate Model

变点风险率模型似然中的一个奇异性问题

A singularity identified by Nguyen, Rogers & Walker (1984) in the log likelihood function for a change-point hazard rate model is eliminated if the likelihood function is appropriately defined.

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Asymptotic Score-Statistic Processes and Tests for Constant Hazard Against a Change-Point Alternative

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.

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On a singularity in the likelihood for a change-point hazard rate model

变点风险率模型似然中的一个奇异性

A singularity identified by Nguyen, Rogers & Walker (1984) in the log likelihood function for a change-point hazard rate model is eliminated if the likelihood function is appropriately defined.

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A Note on Regression Analysis of Ordinal Data with Variability of Classification

分类变动下有序数据回归分析的一则札记

The effect of observation variability in the classification of an ordinal response is examined within the framework of the proportional hazards regression model for ordinal data. A model is proposed which incorporates this type of variability and the behaviour of the proportional hazards model when this new model is appropriate is examined. Four data sets are used to illustrate the practical application of the model.

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A note on regression analysis of ordinal data with variability of classification

分类变异下有序数据回归分析的一则札记

The effect of observation variability in the classification of an ordinal response is examined within the framework of the proportional hazards regression model for ordinal data. A model is proposed which incorporates this type of variability and the behaviour of the proportional hazards model when this new model is appropriate is examined. Four data sets are used to illustrate the practical application of the model.

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Some Results on the Estimation of Logistic Models Based on Retrospective Data

基于回顾性数据的 Logistic 模型估计结果

The logistic model (Cox, 1970, Chapter 2) has been widely used in the analysis of retrospective studies. This paper discusses two methods of analysis, one based on work by Mantel (1973) and Anderson (1972) and a second based on a conditional likelihood. The motivation for the first method is clarified and some efficiency calculations are presented.

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Some results on the estimation of logistic models based on retrospective data

基于回顾性数据估计 Logistic 模型的若干结果

The logistic model (Cox, 1970, Chapter 2) has been widely used in the analysis of retrospective studies. This paper discusses two methods of analysis, one based on work by Mantel (1973) and Anderson (1972) and a second based on a conditional likelihood. The motivation for the first method is clarified and some efficiency calculations are presented.

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Jackknife estimation with structured data

结构化数据的Jackknife估计

Bias reduction using jackknife estimation is shown to be improved if any pattern or special structure in the data is reflected in the jackknife calculations. The improvement is illustrated using two– and three–sample problems and simulation results are given based on a logistic model. Variance estimation is considered

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Jackknife Estimation with Structured Data

结构化数据的刀切法估计

Bias reduction using jackknife estimation is shown to be improved if any pattern or special structure in the data is reflected in the jackknife calculations. The improvement is illustrated using two– and three–sample problems and simulation results are given based on a logistic model. Variance estimation is considered

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