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The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

Methodology · Statistics 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

Autoregressive generative models are commonly used, especially for those tasks involving sequential data. They have, however, been plagued by a slew of inherent flaws due to the intrinsic characteristics of chain-style conditional modeling…

Machine Learning · Computer Science 2022-06-28 Yezhen Wang , Tong Che , Bo Li , Kaitao Song , Hengzhi Pei , Yoshua Bengio , Dongsheng Li

The paper considers high frequency sampled multivariate continuous-time ARMA (MCARMA) models, and derives the asymptotic behavior of the sample autocovariance function to a normal random matrix. Moreover, we obtain the asymptotic behavior…

Statistics Theory · Mathematics 2015-08-10 Vicky Fasen

In this paper we present a parametric estimation method for certain multi-parameter heavy-tailed L\'evy-driven moving averages. The theory relies on recent multivariate central limit theorems obtained in [3] via Malliavin calculus on…

Statistics Theory · Mathematics 2021-04-20 Mathias Mørck Ljungdahl , Mark Podolskij

Sampling based probabilistic roadmap planners (PRM) have been successful in motion planning of robots with higher degrees of freedom, but may fail to capture the connectivity of the configuration space in scenarios with a critical narrow…

Robotics · Computer Science 2021-07-05 Shubham Shukla , Lokesh Kumar , Titas Bera , Ranjan Dasgupta

The simulation of the continuation of a given time series is useful for many practical applications. But no standard procedure for this task is suggested in the literature. It is therefore demonstrated how to use the seasonal ARIMA process…

Computation · Statistics 2012-12-12 Halis Sak , Wolfgang Hörmann

This article introduces the R package csranks for estimation and inference involving ranks. First, we review methods for the construction of confidence sets for ranks, namely marginal and simultaneous confidence sets as well as confidence…

Econometrics · Economics 2024-01-30 Denis Chetverikov , Magne Mogstad , Pawel Morgen , Joseph Romano , Azeem Shaikh , Daniel Wilhelm

Time-series forecasting underpins critical decisions across aviation, energy, retail and health. Classical autoregressive integrated moving average (ARIMA) models offer interpretability via coefficients but struggle with nonlinearities,…

Machine Learning · Computer Science 2025-08-25 Manish Shukla

We propose a parametrization of autoregressive unit roots ARMA models (ARUMA) with partial autocorrelation coefficients to specify the autoregressive and integrated part of the model. We obtain the algebraic properties of the partial…

Methodology · Statistics 2022-08-11 Jamie Halliday , Georgi N. Boshnakov

We present a comprehensive R software ivmodel for analyzing instrumental variables with one endogenous variable. The package implements a general class of estimators called k- class estimators and two confidence intervals that are fully…

Applications · Statistics 2020-07-09 Hyunseung Kang , Yang Jiang , Qingyuan Zhao , Dylan S. Small

The Macaulay2 package Cremona performs some computations on rational and birational maps between irreducible projective varieties. For instance, it provides methods to compute degrees and projective degrees of rational maps without any…

Algebraic Geometry · Mathematics 2018-08-28 Giovanni Staglianò

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

Based on the concept of a L\'evy copula to describe the dependence structure of a multivariate L\'evy process we present a new estimation procedure. We consider a parametric model for the marginal L\'evy processes as well as for the L\'evy…

Methodology · Statistics 2013-06-10 Habib Esmaeili , Claudia Klüppelberg

The aim of this article is to show, how computer algebra can be used when applying Liu's procedure. Although Mathematica (a commercial product by Wolfram Research Inc.) is used, it is possible to use other computer algebra systems as well.

Computational Physics · Physics 2007-05-23 Heiko J. Herrmann

Generalized additive models for location, scale and shape (GAMLSS) are a flexible class of regression models that allow to model multiple parameters of a distribution function, such as the mean and the standard deviation, simultaneously.…

Computation · Statistics 2014-07-08 Benjamin Hofner , Andreas Mayr , Matthias Schmid

Different communities rely heavily on software, but use quite different software development practices. {\bf Objective}: We wanted to measure the state of the practice in the area of statistical software for psychology to understand how it…

Software Engineering · Computer Science 2018-02-22 Spencer Smith , Yue Sun , Jacques Carette

We present a Monte Carlo approach to pairs trading on mean-reverting spreads modeled by L\'evy-driven Ornstein-Uhlenbeck processes. Specifically, we focus on using a variance gamma driving process, an infinite activity pure jump process to…

Computational Finance · Quantitative Finance 2024-02-02 Tim Leung , Kevin W. Lu

Background: The use of mixed effect models with a specific functional form such as the Sigmoidal Mixed Model and the Piecewise Mixed Model (or Changepoint Mixed Model) with abrupt or smooth random change allows the interpretation of the…

Methodology · Statistics 2024-01-26 Ana W Capuano , Maude Wagner

This paper is devoted to the characterization of an extended family of CARMA (continuous-time autoregressive moving average) processes that are solutions of stochastic differential equations driven by white Levy innovations. These are…

Information Theory · Computer Science 2015-03-19 Michael Unser , Pouya D. Tafti , Arash Amini , Hagai Kirshner