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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

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

统计方法学 · 统计学 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

Comparison of two univariate distributions based on independent samples from them is a fundamental problem in statistics, with applications in a wide variety of scientific disciplines. In many situations, we might hypothesize that the two…

统计方法学 · 统计学 2021-07-08 Ted Westling , Kevin J. Downes , Dylan S. Small

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

统计理论 · 数学 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

统计方法学 · 统计学 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

Isotonic distributional regression (IDR) is a powerful nonparametric technique for the estimation of conditional distributions under order restrictions. In a nutshell, IDR learns conditional distributions that are calibrated, and…

统计方法学 · 统计学 2021-09-29 Alexander Henzi , Johanna F. Ziegel , Tilmann Gneiting

Out-of-distribution (OOD) detection is crucial for the deployment of machine learning models in the open world. While existing OOD detectors are effective in identifying OOD samples that deviate significantly from in-distribution (ID) data,…

机器学习 · 计算机科学 2024-12-10 Hao Fu , Prashanth Krishnamurthy , Siddharth Garg , Farshad Khorrami

In this paper we propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode…

统计理论 · 数学 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

统计方法学 · 统计学 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

统计方法学 · 统计学 2022-02-22 Edwin Fong , Brieuc Lehmann

A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its…

统计理论 · 数学 2019-04-23 Lazhar Benkhelifa

In this paper, we introduce a new extension of the generalized linear failure rate distributions. It includes some well-known lifetime distributions such as extension of generalized exponential and generalized linear failure rate…

统计理论 · 数学 2016-03-10 Mohammad Reza Kazemi , Ali Akbar Jafari , Saeid Tahmasebi

In contingency table analysis, the odds ratio is a commonly applied measure used to summarize the degree of association between two categorical variables, say R and S. Suppose now that for each individual in the table, a vector of…

统计方法学 · 统计学 2012-11-16 Francis K. C. Hui , Gery Geenens

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions are provided. We explore the asymptotic behaviors of the…

统计方法学 · 统计学 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

The proportional odds model gives a method of generating new family of distributions by adding a parameter, called tilt parameter, to expand an existing family of distributions. The new family of distributions so obtained is known as…

统计理论 · 数学 2020-07-28 Pradip Kundu , Asok K. Nanda

The empirical distribution function assigns mass $1/n$ to each of the $n$ observations in a sample. As these are highly variable, estimation error may be reduced by replacing them with estimated observations that are asymptotically less…

统计方法学 · 统计学 2026-05-26 Tommaso Lando , Lorenzo Tedesco

We study the problem of distributional approximations to high-dimensional non-degenerate $U$-statistics with random kernels of diverging orders. Infinite-order $U$-statistics (IOUS) are a useful tool for constructing simultaneous prediction…

统计理论 · 数学 2019-12-11 Yanglei Song , Xiaohui Chen , Kengo Kato

We introduce a new method of estimation of parameters in semiparametric and nonparametric models. The method is based on estimating equations that are $U$-statistics in the observations. The $U$-statistics are based on higher order…

统计方法学 · 统计学 2023-07-14 James Robins , Lingling Li , Rajarshi Mukherjee , Eric Tchetgen Tchetgen , Aad van der Vaart

This article introduces a new nonparametric method for estimating a univariate regression function of bounded variation. The method exploits the Jordan decomposition which states that a function of bounded variation can be decomposed as the…

统计理论 · 数学 2016-08-11 Arnaud Guyader , Nick Hengartner , Nicolas Jégou , Eric Matzner-Løber

Univariate or multivariate ordinal responses are often assumed to arise from a latent continuous parametric distribution, with covariate effects which enter linearly. We introduce a Bayesian nonparametric modeling approach for univariate…

统计方法学 · 统计学 2016-09-21 Maria DeYoreo , Athanasios Kottas
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