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This paper is concerned with deriving the limit distributions of stopping times devised to sequentially uncover structural breaks in the parameters of an autoregressive moving average, ARMA, time series. The stopping rules are defined as…

Statistics Theory · Mathematics 2015-06-03 Alexander Aue , Christopher Dienes , Stefan Fremdt , Josef Steinebach

The positive link prediction (PLP) problem is formulated in a system identification framework: we consider dynamic graphical models for auto-regressive moving-average (ARMA) Gaussian random processes. For the identification of the…

Optimization and Control · Mathematics 2020-04-30 Daniele Alpago , Mattia Zorzi , Augusto Ferrante

As environments evolve, temporal distribution shifts can degrade time series forecasting performance. A straightforward solution is to adapt to nonstationary changes while preserving stationary dependencies. Hence, some methods disentangle…

Machine Learning · Computer Science 2025-03-11 Zijian Li , Ruichu Cai , Zhenhui Yang , Haiqin Huang , Guangyi Chen , Yifan Shen , Zhengming Chen , Xiangchen Song , Kun Zhang

This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

In the copula-based approach to univariate time series modeling, the finite dimensional temporal dependence of a stationary time series is captured by a copula. Recent studies investigate how copula-based time series models can be…

Methodology · Statistics 2026-04-03 Sven Pappert , Harry Joe

Many models such as Long Short Term Memory (LSTMs), Gated Recurrent Units (GRUs) and transformers have been developed to classify time series data with the assumption that events in a sequence are ordered. On the other hand, fewer models…

Machine Learning · Computer Science 2021-02-02 Stephanie Ger , Diego Klabjan , Jean Utke

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

Methodology · Statistics 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak

We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power transformed distribution (\textit{PL-APT}). Some tractable…

Statistics Theory · Mathematics 2022-01-20 Modou Ngom , Moumouni Diallo , Adja Mbarka Fall , Gane Samb Lo

This paper illustrates novel methods for nonstationary time series modeling along with their applications to selected problems in neuroscience. These methods are semi-parametric in that inferences are derived by combining sequential…

Applications · Statistics 2010-11-03 Fabio Rigat , Jim Q. Smith

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani

Renewable energy power is influenced by the atmospheric system, which exhibits nonlinear and time-varying features. To address this, a dynamic temporal correlation modeling framework is proposed for renewable energy scenario generation. A…

Machine Learning · Computer Science 2025-01-27 Xiaochong Dong , Yilin Liu , Xuemin Zhang , Shengwei Mei

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

Statistics Theory · Mathematics 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

Flexible distributions for modelling angular data have received considerable attention in recent years, with ongoing work extending existing circular models to provide greater flexibility in capturing diverse angular behaviours. In this…

Methodology · Statistics 2026-03-18 Johan Ferreira , Delene van Wyk-de Ridder , Janet van Niekerk

This paper describes a new method for generating stationary integer-valued time series from renewal processes. We prove that if the lifetime distribution of renewal processes is nonlattice and the probability generating function is…

Statistics Theory · Mathematics 2022-06-24 Sergiy Koshkin , Yunwei Cui

There are non-Gaussian time series that admit a causal linear autoregressive moving average (ARMA) model when regressing the future on the past, but not when regressing the past on the future. The reason is that, in the latter case, the…

Statistical Mechanics · Physics 2015-05-13 Dominik Janzing

Several probability distributions have been proposed in the literature, especially with the aim of obtaining models that are more flexible relative to the behaviors of the density and hazard rate functions. Recently, a new generalization of…

Computation · Statistics 2016-04-26 K. V. P. Barco , J. Mazucheli , V. Janeiro

Regression models for limited continuous dependent variables having a non-negligible probability of attaining exactly their limits are presented. The models differ in the number of parameters and in their flexibility. Fractional data being…

Applications · Statistics 2012-05-31 Fabio Sigrist , Werner A. Stahel

Recently, Verma et al. (2025) introduced a novel generalized class of Kavya-Manoharan distributions, which have demonstrated significant utility in reliability analysis and the modeling of lifetime data. This paper proposes an extension of…

Methodology · Statistics 2025-09-30 Lazhar Benkhelifa

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ioannis Raptis

We introduce a new computational framework for estimating parameters in generalized generalized linear models (GGLM), a class of models that extends the popular generalized linear models (GLM) to account for dependencies among observations…

Methodology · Statistics 2023-04-28 Anatoli Juditsky , Arkadi Nemirovski , Yao Xie , Chen Xu