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The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus approximation of a continuous probability…

概率论 · 数学 2021-01-27 Mrinal Kanti Roychowdhury

Forecasts of multivariate probability distributions are required for a variety of applications. Scoring rules enable the evaluation of forecast accuracy, and comparison between forecasting methods. We propose a theoretical framework for…

统计理论 · 数学 2026-01-30 Xiaochun Meng , James W. Taylor , Souhaib Ben Taieb , Siran Li

Quantile regression models provide a wide picture of the conditional distributions of the response variable by capturing the effect of the covariates at different quantile levels. In most applications, the parametric form of those…

统计方法学 · 统计学 2017-11-03 T. Rodrigues , J. -L. Dortet-Bernadet , Y. Fan

Triangular distributions are a well-known class of distributions that are often used as an elementary example of a probability model. Maximum likelihood estimation of the mode parameter of the triangular distribution over the unit interval…

其他统计学 · 统计学 2016-11-08 Hien D Nguyen , Geoffrey J McLachlan

Combining forecast from different models has shown to perform better than single forecast in most time series. To improve the quality of forecast we can go for combining forecast. We study the effect of decomposing a series into multiple…

应用统计 · 统计学 2013-03-04 Manisha Gahirwal

Linearly constrained multiple time series may be encountered in many practical contexts, such as the National Accounts (e.g., GDP disaggregated by Income, Expenditure and Output), and multilevel frameworks where the variables are organized…

统计方法学 · 统计学 2024-12-05 Daniele Girolimetto , Tommaso Di Fonzo

A fundamental problem arising in many areas of machine learning is the evaluation of the likelihood of a given observation under different nominal distributions. Frequently, these nominal distributions are themselves estimated from data,…

We propose a novel machine learning approach for forecasting the distribution of stock returns using a rich set of firm-level and market predictors. Our method combines a two-stage quantile neural network with spline interpolation to…

综合金融 · 定量金融 2025-08-05 Jozef Barunik , Martin Hronec , Ondrej Tobek

Compact and discriminative visual codebooks are preferred in many visual recognition tasks. In the literature, a number of works have taken the approach of hierarchically merging visual words of an initial large-sized codebook, but…

计算机视觉与模式识别 · 计算机科学 2014-01-31 Lingqiao Liu , Lei Wang , Chunhua Shen

Exponential distributions appear in a wide range of applications including chemistry, nuclear physics, time series analyses, and stock market trends. There are conceivable circumstances in which one would be interested in the cumulative…

历史与综述 · 数学 2018-03-23 Cecilia Chirenti , M. Coleman Miller

Bivariate normal distributions are often used to describe the joint probability density of a pair of random variables. These distributions arise across many domains, from telecommunications, to meteorology, ballistics, and computational…

统计方法学 · 统计学 2022-03-08 Emily A. Cooper , Hany Farid

New methods are proposed for adjusting probabilistic forecasts to ensure coherence with the aggregation constraints inherent in temporal hierarchies. The different approaches nested within this framework include methods that exploit…

统计方法学 · 统计学 2020-08-18 Jooyoung Jeon , Anastasios Panagiotelis , Fotios Petropoulos

Symbolic data analysis has been proposed as a technique for summarising large and complex datasets into a much smaller and tractable number of distributions -- such as random rectangles or histograms -- each describing a portion of the…

统计计算 · 统计学 2020-03-23 Thomas Whitaker , Boris Beranger , Scott A. Sisson

Conventional statistics begins with a model, and assigns a likelihood of obtaining any particular set of data. The opposite approach, beginning with the data and assigning a likelihood to any particular model, is explored here for the case…

数据分析、统计与概率 · 物理学 2009-10-30 Timothy E. Holy

The paper presents numerical experiments and some theoretical developments in prediction with expert advice (PEA). One experiment deals with predicting electricity consumption depending on temperature and uses real data. As the pattern of…

人工智能 · 计算机科学 2021-09-30 Vladimir V'yugin , Vladimir Trunov

We compare two approaches to embedding joint distributions of random variables recorded under different conditions (such as spins of entangled particles for different settings) into the framework of classical, Kolmogorovian probability…

概率论 · 数学 2015-06-18 Ehtibar N. Dzhafarov , Janne V. Kujala

Hierarchical time series are common in several applied fields. The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy. The most popular technique to enforce coherence is…

机器学习 · 统计学 2023-10-13 Lorenzo Zambon , Dario Azzimonti , Giorgio Corani

The simplest, most common paired samples consist of observations from two populations, with each observed response from one population corresponding to an observed response from the other population at the same value of an ordinal…

统计方法学 · 统计学 2024-04-09 Isabel Kloumann , Hannah Korevaar , Chris McConnell , Mark Tygert , Jessica Zhao

Forecast combination methods have traditionally emphasized symmetric loss functions, particularly squared error loss, with equally weighted combinations often justified as a robust approach under such criteria. However, these justifications…

统计方法学 · 统计学 2025-04-08 Henry D. van Eijk , Sujit K. Ghosh

In this paper we propose a new method for probabilistic forecasting of electricity prices. It is based on averaging point forecasts from different models combined with expectile regression. We show that deriving the predicted distribution…

应用统计 · 统计学 2024-02-13 Joanna Janczura