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We develop a new approximative estimation method for conditional Shapley values obtained using a linear regression model. We develop a new estimation method and outperform existing methodology and implementations. Compared to the sequential…

统计方法学 · 统计学 2025-04-28 Fredrik Lohne Aanes

For statistics of rare events in systems obeying a large-deviation principle, the rate function is a key quantity. When numerically estimating the rate function one is always restricted to finite system sizes. Thus, if the interest is in…

数据分析、统计与概率 · 物理学 2024-12-06 Peter Werner , Alexander K. Hartmann

A variety of estimators for the parameters of the Generalized Pareto distribution, the approximating distribution for excesses over a high threshold, have been proposed, always assuming the underlying data to be independent. We recently…

应用统计 · 统计学 2016-05-26 Lukas Martig , Jürg Hüsler

Given an interval $[a,b]$ the associated $X\,Y$ model is the space $\Omega=[a,b]^\mathbb{N}$ with an a priori probability $\nu $ on the state space $[a,b]$. We will present here the case of the product type potential on the $X\,Y$ model and…

动力系统 · 数学 2018-10-26 Joana Mohr

Significant wave height forecasting is a key problem in ocean data analytics. This task affects several maritime operations, such as managing the passage of vessels or estimating the energy production from waves. In this work, we focus on…

机器学习 · 统计学 2024-05-07 Vitor Cerqueira , Luis Torgo

In this paper, we modify the Bayes risk for the expectile, the so-called variantile risk measure, to better capture extreme risks. The modified risk measure is called the adjusted standard-deviatile. First, we derive the asymptotic…

统计理论 · 数学 2024-11-12 Haoyu Chen , Tiantian Mao , Fan Yang

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

统计理论 · 数学 2008-05-27 Jiahua Chen , Xianming Tan

Suppose Xt is either a regular exponential type Levy process or a Levy process with a bounded variation jumps measure. The distribution of the extrema of Xt play a crucial role in many financial and actuarial problems. This article employs…

概率论 · 数学 2017-01-23 Amir T. Payandeh Najafabadi , Dan Kucerovsky

A well-known conjecture in analytic number theory states that for every pair of sets $X,Y\subset\mathbb{Z}/p\mathbb{Z}$, each of size at least $\log ^C p$ (for some constant $C$) we have that the number of pairs $(x,y)\in X\times Y$ such…

组合数学 · 数学 2015-12-18 Rudi Mrazović

We investigate conditions for the existence of the limiting conditional distribution of a bivariate random vector when one component becomes large. We revisit the existing literature on the topic, and present some new sufficient conditions.…

概率论 · 数学 2010-02-21 Anne-Laure Fougères , Philippe Soulier

Estimating causal effects with propensity scores relies upon the availability of treated and untreated units observed at each value of the estimated propensity score. In settings with strong confounding, limited so-called "overlap" in…

统计方法学 · 统计学 2017-10-25 Corwin M Zigler , Matthew Cefalu

We present a symbolic machinery that admits both probabilistic and causal information about a given domain and produces probabilistic statements about the effect of actions and the impact of observations. The calculus admits two types of…

人工智能 · 计算机科学 2013-02-28 Judea Pearl

Conditional density estimation (CDE) models can be useful for many statistical applications, especially because the full conditional density is estimated instead of traditional regression point estimates, revealing more information about…

统计方法学 · 统计学 2021-07-12 Alex Akira Okuno , Felipe Maia Polo

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

统计理论 · 数学 2018-04-17 Antonio Forcina

We consider the problem of estimating the conditional distribution of a post-model-selection estimator where the conditioning is on the selected model. The notion of a post-model-selection estimator here refers to the combined procedure…

统计理论 · 数学 2007-11-06 Hannes Leeb , Benedikt M. Pötscher

Iterative imputation, in which variables are imputed one at a time each given a model predicting from all the others, is a popular technique that can be convenient and flexible, as it replaces a potentially difficult multivariate modeling…

统计理论 · 数学 2012-04-04 Jingchen Liu , Andrew Gelman , Jennifer Hill , Yu-Sung Su

The method of extended maximum likelihood is a well known concept of parameter estimation. One can implement external knowledge on the unknown parameters by multiplying the likelihood by constraint terms. In this note, we emphasize that…

数据分析、统计与概率 · 物理学 2012-10-29 Till Moritz Karbach , Maximilian Schlupp

This paper considers a distributionally robust chance constraint model with a general ambiguity set. We show that a sample based approximation of this model converges under suitable sufficient conditions. We also show that upper and lower…

最优化与控制 · 数学 2025-01-17 Jiaqi Lei , Sanjay Mehrotra

This paper extends quantile factor analysis to a probabilistic variant that incorporates regularization and computationally efficient variational approximations. We establish through synthetic and real data experiments that the proposed…

计量经济学 · 经济学 2024-08-16 Dimitris Korobilis , Maximilian Schröder

Extended cure survival models enable to separate covariates that affect the probability of an event (or `long-term' survival) from those only affecting the event timing (or `short-term' survival). We propose to generalize the bounded…

统计方法学 · 统计学 2023-02-03 Lambert Philippe , Kreyenfeld Michaela