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In this paper, two-state Markov switching models are proposed to study accident frequencies. These models assume that there are two unobserved states of roadway safety, and that roadway entities (roadway segments) can switch between these…

Applications · Statistics 2009-08-02 Nataliya V. Malyshkina , Fred L. Mannering , Andrew P. Tarko

In this research, two-state Markov switching models are proposed to study accident frequencies and severities. These models assume that there are two unobserved states of roadway safety, and that roadway entities (e.g., roadway segments)…

Applications · Statistics 2008-12-09 Nataliya V. Malyshkina

This paper introduces a new parsimonious structure for mixture of autoregressive models. the weighting coefficients are determined through latent random variables, following a hidden Markov model. We propose a dynamic programming algorithm…

Statistics Theory · Mathematics 2011-05-12 S. H. Alizadeh , S. Rezakhah

In this study, a two-state Markov switching count-data model is proposed as an alternative to zero-inflated models to account for the preponderance of zeros sometimes observed in transportation count data, such as the number of accidents…

Applications · Statistics 2009-08-02 Nataliya V. Malyshkina , Fred L. Mannering

Forecasting tasks using large datasets gathering thousands of heterogeneous time series is a crucial statistical problem in numerous sectors. The main challenge is to model a rich variety of time series, leverage any available external…

Machine Learning · Computer Science 2024-04-18 Etienne David , Jean Bellot , Sylvain Le Corff

In this study, two-state Markov switching multinomial logit models are proposed for statistical modeling of accident injury severities. These models assume Markov switching in time between two unobserved states of roadway safety. The states…

Applications · Statistics 2009-08-02 Nataliya V. Malyshkina , Fred L. Mannering

Continuous-time multistate models are widely used for analyzing interval-censored data on disease progression over time. Sometimes, diseases manifest differently and what appears to be a coherent collection of symptoms is the expression of…

Methodology · Statistics 2024-10-08 Yidan Shi , Leilei Zeng , Mary E. Thompson , Suzanne L. Tyas

In recent years, automotive technology has made a steady progress. In particular, Advanced Driver Assistance System (ADAS) has enabled many safety features in commercial vehicles, for instance, pedestrian detection, lane keeping assist,…

Systems and Control · Electrical Eng. & Systems 2022-12-26 Avinash Prabu , Lingxi Li , Brian King , Yaobin Chen

The identification of factors associated with mental and behavioral disorders in early childhood is critical both for psychopathology research and the support of primary health care practices. Motivated by the Millennium Cohort Study, in…

Methodology · Statistics 2021-09-15 Luca Merlo , Lea Petrella , Nikos Tzavidis

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

Methodology · Statistics 2022-02-28 Rosario Barone , Andrea Tancredi

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

Methodology · Statistics 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini

Data collected from wearable devices and smartphones can shed light on an individual's pattern of behavioral and circadian routine. Phone use can be modeled as alternating event process, between the state of active use and the state of…

Methodology · Statistics 2022-12-13 Benny Ren , Ian Barnett

Conventional joint modeling approaches generally characterize the relationship between longitudinal biomarkers and discrete event occurrences within terminal, recurring or competing risk settings, thereby offering a limited representation…

Methodology · Statistics 2026-05-26 Félix Laplante , Christophe Ambroise

We propose an inferential approach for maximum likelihood estimation of the hidden Markov models for continuous responses. We extend to the case of longitudinal observations the finite mixture model of multivariate Gaussian distributions…

Methodology · Statistics 2021-07-01 Silvia Pandolfi , Francesco Bartolucci , Fulvia Pennoni

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

The authors present a cyber-physical systems study on the estimation of driver behavior in autonomous vehicles and vehicle safety systems. Extending upon previous work, the approach described is suitable for the long term estimation and…

Robotics · Computer Science 2017-01-25 Vijay Gadepally , Ashok Krishnamurthy

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to…

Computational Finance · Quantitative Finance 2016-03-10 Feng-Hui Yu , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

We make a methodological contribution by introducing a new dimension of traffic conflict severity: the probability that a driver is in a defensive state. This behavioural probability reflects an internal response to perceived risk and is…

Physics and Society · Physics 2025-06-27 Rulla Al-Haideri , Karim Ismail , Bilal Farooq , Adam Weiss

Motivated by the analysis of accelerometer data, we introduce a specific finite mixture of hidden Markov models with particular characteristics that adapt well to the specific nature of this type of data. Our model allows for the…

Methodology · Statistics 2020-12-25 Marie du Roy de Chaumaray , Matthieu Marbac , Fabien Navarro

Lane-change maneuver has always been a challenging task for both manual and autonomous driving, especially in an urban setting. In particular, the uncertainty in predicting the behavior of other vehicles on the road leads to indecisive…

Systems and Control · Electrical Eng. & Systems 2022-12-26 Avinash Prabu , Niranjan Ravi , Lingxi Li
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