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Related papers: Non-Homogeneous Markov-Switching Generalized Addit…

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We propose a novel class of flexible latent-state time series regression models which we call Markov-switching generalized additive models for location, scale and shape. In contrast to conventional Markov-switching regression models, the…

Methodology · Statistics 2018-05-18 Timo Adam , Andreas Mayr , Thomas Kneib

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

Methodology · Statistics 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn

We consider Markov-switching regression models, i.e. models for time series regression analyses where the functional relationship between covariates and response is subject to regime switching controlled by an unobservable Markov chain.…

Methodology · Statistics 2015-05-12 Roland Langrock , Thomas Kneib , Richard Glennie , Théo Michelot

Rigby & Stasinopoulos (2005) introduced generalized additive models for location, scale and shape (GAMLSS) where the response distribution is not restricted to belong to the exponential family and its parameters can be specified as…

Methodology · Statistics 2016-05-25 Giampiero Marra , Rosalba Radice

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

Methodology · Statistics 2024-12-02 Lucas Kock , Nadja Klein

We discuss scalar-on-function regression models where all parameters of the assumed response distribution can be modeled depending on covariates. We thus combine signal regression models with generalized additive models for location, scale…

Computation · Statistics 2016-05-16 Sarah Brockhaus , Andreas Fuest , Andreas Mayr , Sonja Greven

This paper introduces distributional regression, also known as generalized additive models for location, scale and shape (GAMLSS), as a modeling framework for analyzing treatment effects beyond the mean. By relating each parameter of the…

Applications · Statistics 2019-03-29 Maike Hohberg , Peter Pütz , Thomas Kneib

We propose a hidden Markov model for univariate proportion time series taking values in (0,1), where regime switching captures latent structural changes and the emission distribution belongs to the Beta family. In each latent state, the…

Methodology · Statistics 2026-05-11 Andrea Nigri , Han Lin Shang , Marco Bonetti

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

Methodology · Statistics 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij

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

In multi-state models based on high-dimensional data, effective modeling strategies are required to determine an optimal, ideally parsimonious model. In particular, linking covariate effects across transitions is needed to conduct joint…

Methodology · Statistics 2024-11-27 Kaya Miah , Jelle J. Goeman , Hein Putter , Annette Kopp-Schneider , Axel Benner

The well-established methodology for the estimation of hidden semi-Markov models (HSMMs) as hidden Markov models (HMMs) with extended state spaces is further developed to incorporate covariate influences across all aspects of the state…

Methodology · Statistics 2024-05-24 Jan-Ole Koslik

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

Methodology · Statistics 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

We establish conditions under which Metropolis-Hastings (MH) algorithms with a position-dependent proposal covariance matrix will or will not have the geometric rate of convergence. Some of the diffusions based MH algorithms like the…

Methodology · Statistics 2022-08-23 Vivekananda Roy , Lijin Zhang

We consider two-state Non-Homogeneous Hidden Markov Models (NHHMMs) for forecasting univariate time series. Given a set of predictors, the time series are modeled via predictive regressions with state dependent coefficients and time-varying…

Methodology · Statistics 2019-07-31 Constandina Koki , Loukia Meligkotsidou , Ioannis Vrontos

We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

Methodology · Statistics 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

Methodology · Statistics 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

The standard procedures for analysing hierarquical or grouped data are by (non)linear mixed models or generalized mixed models. However, the generalized additive models for location, scale and shape (GAMLSSs) also allow different types of…

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

Methodology · Statistics 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli
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