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We begin by introducing a class of conditional density estimators based on local polynomial techniques. The estimators are boundary adaptive and easy to implement. We then study the (pointwise and) uniform statistical properties of the…

Statistics Theory · Mathematics 2023-12-19 Matias D. Cattaneo , Rajita Chandak , Michael Jansson , Xinwei Ma

Low-frequency time-series (e.g., quarterly data) are often treated as benchmarks for interpolating to higher frequencies, since they generally exhibit greater precision and accuracy in contrast to their high-frequency counterparts (e.g.,…

Methodology · Statistics 2026-04-14 Luke Mosley , Kaveh Salehzadeh Nobari , Giuseppe Brandi , Alex Gibberd

Probabilistic graphical models are widely used to model complex systems under uncertainty. Traditionally, Gaussian directed graphical models are applied for analysis of large networks with continuous variables as they can provide…

Methodology · Statistics 2024-05-27 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

In this paper we discuss dynamic ARMA-type regression models for time series taking values in $(0,\infty)$. In the proposed model, the conditional mean is modeled by a dynamic structure containing autoregressive and moving average terms,…

Many applications of Gaussian random fields and Gaussian random processes are limited by the computational complexity of evaluating the probability density function, which involves inverting the relevant covariance matrix. In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-26 Theodor Bjorkmo , M. C. David Marsh

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

Methodology · Statistics 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau

CensSpatial is an R package for analyzing spatial censored data through linear models. It offers a set of tools for simulating, estimating, making predictions, and performing local influence diagnostics for outlier detection. The package…

Methodology · Statistics 2021-10-13 Jose A. Ordonez , Christian E. Galarza , Victor H. Lachos

This article explains the usage of R package CausalModels, which is publicly available on the Comprehensive R Archive Network. While packages are available for sufficiently estimating causal effects, there lacks a package that provides a…

Methodology · Statistics 2023-07-19 Joshua Wolff Anderson , Cyril Rakovski

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

Computation · Statistics 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

Complex systems are often non-stationary, typical indicators are continuously changing statistical properties of time series. In particular, the correlations between different time series fluctuate. Models that describe the multivariate…

Disordered Systems and Neural Networks · Physics 2021-05-26 Thomas Guhr , Andreas Schell

This article introduces the R package evgam. The package provides functions for fitting extreme value distributions. These include the generalized extreme value and generalized Pareto distributions. The former can also be fitted through a…

Computation · Statistics 2020-11-10 Benjamin D. Youngman

The probability density function for the visible sector of a Riemann-Theta Boltzmann machine can be taken conditional on a subset of the visible units. We derive that the corresponding conditional density function is given by a…

Machine Learning · Statistics 2020-08-26 Stefano Carrazza , Daniel Krefl , Andrea Papaluca

This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample…

Econometrics · Economics 2021-01-29 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

In this paper we present a robust estimator for the parameters of a continuous-time ARMA(p,q) (CARMA(p,q)) process sampled equidistantly which is not necessarily Gaussian. Therefore, an indirect estimation procedure is used. It is an…

Statistics Theory · Mathematics 2019-11-11 Vicky Fasen-Hartmann , Sebastian Kimmig

Non-Gaussian spatial and spatio-temporal data are becoming increasingly prevalent, and their analysis is needed in a variety of disciplines. FRK is an R package for spatial/spatio-temporal modelling and prediction with very large data sets…

Computation · Statistics 2022-11-22 Matthew Sainsbury-Dale , Andrew Zammit-Mangion , Noel Cressie

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

Methodology · Statistics 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

In this paper we propose a novel R package, called rsurv, developed for general survival data simulation purposes. The package is built under a new approach to simulate survival data that depends heavily on the use of dplyr verbs. The…

Computation · Statistics 2024-06-05 Fábio N. Demarqui

We present and describe the GPFDA package for R. The package provides flexible functionalities for dealing with Gaussian process regression (GPR) models for functional data. Multivariate functional data, functional data with…

Computation · Statistics 2021-02-02 Evandro Konzen , Yafeng Cheng , Jian Qing Shi

The essentials of fractional calculus according to different approaches that can be useful for our applications in the theory of probability and stochastic processes are established. In addition to this, from this fractional integral one…

Mathematical Physics · Physics 2013-07-31 Nicy Sebastian