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Under adaptive progressive Type-II censoring schemes, order restricted inference based on competing risks data is discussed in this article. The latent failure lifetimes for the competing causes are assumed to follow Weibull distributions,…

统计方法学 · 统计学 2022-05-10 Ayon Ganguly , Debanjan Mitra , Debasis Kundu

In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time $t$ is the probability of failure by time $t$ from a particular type of failure in the presence of other risks. In…

统计理论 · 数学 2007-06-13 Hammou El Barmi , Hari Mukerjee

In the context of the widely used competing risks set-up we discuss different inference procedures for testing equality of two cumulative incidence functions, where the data may be subject to independent right-censoring or left-truncation.…

统计理论 · 数学 2015-10-13 Dennis Dobler , Markus Pauly

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

统计理论 · 数学 2017-07-25 Abhik Ghosh , Ayanendranath Basu

In this paper the asymptotic distribution of estimators is derived in a general regression setting where rank restrictions on a submatrix of the coefficient matrix are imposed and the regressors can include stationary or I(1) processes.…

统计理论 · 数学 2012-11-08 Dietmar Bauer

A concentration index, a standardized covariance between a health variable and relative income ranks, is often used to quantify income-related health inequalities. There is a lack of formal approach to study the effect of an exposure, e.g.,…

统计方法学 · 统计学 2025-01-14 Mohammad Ghasempour , Xavier de Luna , Per E. Gustafsson

Causal inference with observational studies often relies on the assumptions of unconfoundedness and overlap of covariate distributions in different treatment groups. The overlap assumption is violated when some units have propensity scores…

统计方法学 · 统计学 2022-07-19 Shu Yang , Peng Ding

In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address…

统计方法学 · 统计学 2026-01-26 Simon Mack , Marc Ditzhaus , Merle Munko , Markus Pauly

In the classical two-sample problem, the conventional approach for testing distributions equality is based on the difference between the two marginal empirical distribution functions, whereas a test for independence is based on the contrast…

统计理论 · 数学 2018-06-14 Laura Dumitrescu , Estate V. Khmaladze

We consider goodness-of-fit tests for uniformity of a multinomial distribution by means of tests based on a class of symmetric statistics, defined as the sum of some function of cell-frequencies. We are dealing with an asymptotic regime,…

统计理论 · 数学 2022-11-03 Sherzod M Mirakhmedov

Recently Liu and Wang derived the likelihood ratio test (LRT) statistic and its asymptotic distribution for testing equality of two multinomial distributions vs. the alternative that the second distribution is larger in terms of increasing…

统计理论 · 数学 2007-06-13 Arthur Cohen , John Kolassa , Harold Sackrowitz

New methods and theory have recently been developed to nonparametrically estimate cumulative incidence functions for competing risks survival data subject to current status censoring. In particular, the limiting distribution of the…

统计方法学 · 统计学 2012-01-12 Marloes H. Maathuis , Michael G. Hudgens

We consider the \mnk{classical} problem of a controller activating (or sampling) sequentially from a finite number of $N \geq 2$ populations, specified by unknown distributions. Over some time horizon, at each time $n = 1, 2, \ldots$, the…

机器学习 · 统计学 2015-12-18 Wesley Cowan , Michael N. Katehakis

Easy-to-interpret effect estimands are highly desirable in survival analysis. In the competing risks framework, one good candidate is the restricted mean time lost (RMTL). It is defined as the area under the cumulative incidence function up…

统计方法学 · 统计学 2024-09-13 Merle Munko , Dennis Dobler , Marc Ditzhaus

Consider a nonparametric regression model with one-sided errors and regression function in a general H\"older class. We estimate the regression function via minimization of the local integral of a polynomial approximation. We show uniform…

统计方法学 · 统计学 2016-10-12 Holger Drees , Natalie Neumeyer , Leonie Selk

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

统计方法学 · 统计学 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

In settings where interference between units is possible, we define the prevalence of indirect effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify an indirect effect, but may…

统计方法学 · 统计学 2024-01-18 David Choi

Quantile and quantile effect functions are important tools for descriptive and causal analyses due to their natural and intuitive interpretation. Existing inference methods for these functions do not apply to discrete random variables. This…

统计方法学 · 统计学 2018-09-03 Victor Chernozhukov , Iván Fernández-Val , Blaise Melly , Kaspar Wüthrich

This paper aims to address the issue of semiparametric efficiency for cointegration rank testing in finite-order vector autoregressive models, where the innovation distribution is considered an infinite-dimensional nuisance parameter. Our…

计量经济学 · 经济学 2023-05-17 Bo Zhou

Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are empirical L_1-type distances between the isotonic estimates,…

统计理论 · 数学 2015-03-17 Piet Groeneboom , Geurt Jongbloed
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