A Multivariate Weibull Disitribution

随机序与统计相依在多组件系统误差分析中的应用

Use of stochastic orders and statistical dependence in error analysis for multi-component system

本文分析多组件系统中因错误假设组件独立而产生的可靠性度量误差，并揭示其与随机序和统计相依的关联。

基于Copula的分数不准确性建模：一个统一框架

Copula-Based Modeling of Fractional Inaccuracy: A Unified Framework

本文提出基于copula的多元分数不准确性度量统一框架，利用copula纳入依赖结构，建立界限并研究随机序性质，扩展了分数不准确性概念。

Weibull分布系数变异估计在I型逐步区间删失下的估计：基于模拟的方法

Estimation of the Coefficient of Variation of Weibull Distribution under Type-I Progressively Interval Censoring: A Simulation-based Approach

本文提出基于模拟的方法，在I型逐步区间删失下估计Weibull分布的系数变异及其二阶替代量，通过多种统计方法比较了估计器的性能。

多项随机向量分量累积和的联合生存函数的正态积分表示

Normal integral representation for the joint survival function of the cumulative sums of the components of multinomial random vectors

本文通过将多项随机向量分量累积和的联合生存函数与Dirichlet概率联系起来，推导出其正态积分表示，为多元KMT逼近提供潜在工具。

Consistent single- and multi-step sampling of multivariate arrival times: A characterization of self-chaining copulas

This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the relationship between dependence and the possibility to sample final multivariate survival in a long time-interval as a sequence of iterations of local multivariate survivals along a partition of the total time interval. We find that this is possible under a form of multivariate lack of memory that is linked to a property of the survival times copula. This property defines a "self-chaining-copula", an…

含竞争风险的双变量失效时间数据的模型可识别性：参数化原因别风险与非参数脆弱性

Model Identifiability for Bivariate Failure Time Data with Competing Risks: Parametric Cause-specific Hazards and Non-parametric Frailty

本文针对含竞争风险的双变量生存数据，结合四类非参数脆弱性与参数化基线原因别风险函数，研究模型可识别性，并假设脆弱性均值为1。

推进连续分布生成：一种指数化优势比生成器方法

Advancing Continuous Distribution Generation: An Exponentiated Odds Ratio Generator Approach

本文在生存分析框架下提出指数化优势比生成器，构建Type-2 Gumbel Weibull-G分布族，分析其统计性质并用五种估计方法和三个真实数据集验证其优越拟合效果。

Diagonal sections of copulas, multivariate conditional hazard rates and distributions of order statistics for minimally stable lifetimes

As a motivating problem, we aim to study some special aspects of the marginal distributions of the order statistics for exchangeable and (more generally) for minimally stable non-negative random variables $T_{1},...,T_{r}$. In any case, we assume that $T_{1},...,T_{r}$ are identically distributed, with a common survival function $\overline{G}$ and their survival copula is denoted by $K$. The diagonal's and subdiagonals' sections of $K$, along with $\overline{G}$, are possible tools to describe the information needed to recover the laws of order statistics. When attention is restricted to the a…

将加速失败条件模型扩展至位置-尺度族

Extending the Accelerated Failure Conditionals Model to Location-Scale Families

本文提出了一种基于位置-尺度分布族的条件生存模型，通过加速函数和位置函数建立X与Y的依赖关系，并展示了其在实数轴上处理Y边缘分布的能力。