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A reduced-bias nonparametric estimator of the cumulative distribution function (CDF) and the survival function is proposed using infinite-order kernels. Fourier transform theory on generalized functions is utilized to obtain the improved…

统计方法学 · 统计学 2009-03-18 Arthur Berg , Dimitris N. Politis

We propose a semiparametric data fusion framework for efficient inference on survival probabilities by integrating right-censored and current status data. Existing data fusion methods focus largely on fusing right-censored data only, while…

统计方法学 · 统计学 2025-09-15 Xiudi Li , Sijia Li

The paper develops new methods of non-parametric estimation a compound Poisson distribution. Such a problem arise, in particular, in the inference of a Levy process recorded at equidistant time intervals. Our key estimator is based on…

统计理论 · 数学 2015-10-19 Alexey Lindo , Sergei Zuyev , Serik Sagitov

In this paper, we provide a multiscale perspective on the problem of maximum marginal likelihood estimation. We consider and analyse a diffusion-based maximum marginal likelihood estimation scheme using ideas from multiscale dynamics. Our…

统计计算 · 统计学 2024-06-11 O. Deniz Akyildiz , Michela Ottobre , Iain Souttar

In observational studies, propensity scores are commonly estimated by maxi- mum likelihood but may fail to balance high-dimensional pre-treatment covariates even after specification search. We introduce a general framework that unifies and…

统计方法学 · 统计学 2017-03-22 Qingyuan Zhao

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

机器学习 · 统计学 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

The ability to estimate joint, conditional and marginal probability distributions over some set of variables is of great utility for many common machine learning tasks. However, estimating these distributions can be challenging,…

机器学习 · 计算机科学 2018-09-20 Andrew Skabar

In this paper, we consider the time-inhomogeneous nonlinear time series regression for a general class of locally stationary time series. On one hand, we propose sieve nonparametric estimators for the time-varying regression functions which…

统计理论 · 数学 2021-12-17 Xiucai Ding , Zhou Zhou

Estimation of probability density function from samples is one of the central problems in statistics and machine learning. Modern neural network-based models can learn high dimensional distributions but have problems with hyperparameter…

机器学习 · 计算机科学 2022-02-28 Georgii S. Novikov , Maxim E. Panov , Ivan V. Oseledets

Models are often defined through conditional rather than joint distributions, but it can be difficult to check whether the conditional distributions are compatible, i.e. whether there exists a joint probability distribution which generates…

统计理论 · 数学 2018-12-18 Joseph Muré

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

统计方法学 · 统计学 2023-03-16 Cheng Peng , Stanislav Uryasev

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

统计方法学 · 统计学 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

In this work, we discuss a general class of the estimators for the cumulative distribution function (CDF) based on judgment post stratification (JPS) sampling scheme which includes both empirical and kernel distribution functions.…

统计方法学 · 统计学 2024-05-03 Mina Azizi Kouhanestani , Ehsan Zamanzade , Sareh Goli

In the context of a species sampling problem we discuss a non-parametric maximum likelihood estimator for the underlying probability mass function. The estimator is known in the computer science literature as the high profile estimator. We…

统计理论 · 数学 2018-01-12 Dragi Anevski , Richard D. Gill , Stefan Zohren

This article proposes a bivariate Simplex distribution for modeling continuous outcomes constrained to the interval $(0,1)$, which can represent proportions, rates, or indices. We derive analytical expressions to calculate the dependence…

统计方法学 · 统计学 2025-04-03 Emerson Amaral , Lucas S. Vieira , Lizandra C. Fabio , Vanessa Barros , Jalmar M. F. Carrasco

We consider the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution. This problem is investigated in a sequential setup under mild assumptions on the underlying random process. The…

信号处理 · 电气工程与系统科学 2021-05-07 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest: it allows for instance to derive quantiles estimators or other non linear parameters derived from the cdf. We consider the case where the…

统计方法学 · 统计学 2014-04-14 Sandrine Casanova , Eve Leconte

In this article, a discrete analogue of continuous Teissier distribution is presented. Its several important distributional characteristics have been derived. The estimation of the unknown parameter has been done using the method of maximum…

统计方法学 · 统计学 2021-10-22 Bhupendra Singh , Varun Agiwal , Ravindra Pratap Singh , Abhishek Tyagi

Elliptically symmetric distributions are widely used in portfolio modeling, as well as in signal processing applications for modeling impulsive background noises. Of particular interest are algorithms for covariance estimation and subspace…

统计理论 · 数学 2016-12-01 Christophe Culan , Claude Adnet

Conformal prediction provides distribution-free predictive intervals with finite-sample marginal coverage. However, achieving conditional validity and interval efficiency (in terms of short interval length) remains challenging, particularly…

机器学习 · 统计学 2026-05-06 Ran Zou , Wanrong Zhu , Bin Nan