Jointly modeling area-level crash rates by severity: a Bayesian multivariate random-parameters spatio-temporal Tobit regression

Zeng, Qiang; Guo, Qiang; Wong, S. C.; Wen, Huiying; Huang, Helai; Pei, Xin

doi:10.1080/23249935.2019.1652867

Cited by 68 publications

(57 citation statements)

References 62 publications

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“…Since the traditional maximum-likelihood method is not applicable to the models with CAR Gaussian priors [40], the parameters in the models were calibrated by Bayesian method which can be easily conducted via programming in WinBUGS [41]. To obtain the Bayesian estimates, specification of the prior distribution of each parameter in the models is required.…”

Section: Model Estimationmentioning

confidence: 99%

“…A diffused gamma distribution, gamma(0.01, 0.01), was used as the priors of the spatial precision parameter, τ ϕ . The CAR priors were specified by the function car.normal in WinBUGS [40]. For each model, a chain of 60,000 Markov chain Monte Carlo (MCMC) simulation iterations was run, with the first 50,000 iterations acting as a burn-in.…”

Section: Model Estimationmentioning

confidence: 99%

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Investigating the Impacts of Real-Time Weather Conditions on Freeway Crash Severity: A Bayesian Spatial Analysis

Zeng

Hao

Lee

et al. 2020

IJERPH

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This study presents an empirical investigation of the impacts of real-time weather conditions on the freeway crash severity. A Bayesian spatial generalized ordered logit model was developed for modeling the crash severity using the hourly wind speed, air temperature, precipitation, visibility, and humidity, as well as other observed factors. A total of 1424 crash records from Kaiyang Freeway, China in 2014 and 2015 were collected for the investigation. The proposed model can simultaneously accommodate the ordered nature in severity levels and spatial correlation across adjacent crashes. Its strength is demonstrated by the existence of significant spatial correlation and its better model fit and more reasonable estimation results than the counterparts of a generalized ordered logit model. The estimation results show that an increase in the precipitation is associated with decreases in the probabilities of light and severe crashes, and an increase in the probability of medium crashes. Additionally, driver type, vehicle type, vehicle registered province, crash time, crash type, response time of emergency medical service, and horizontal curvature and vertical grade of the crash location, were also found to have significant effects on the crash severity. To alleviate the severity levels of crashes on rainy days, some engineering countermeasures are suggested, in addition to the implemented strategies.

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Section: Model Estimationmentioning

confidence: 99%

Section: Model Estimationmentioning

confidence: 99%

Investigating the Impacts of Real-Time Weather Conditions on Freeway Crash Severity: A Bayesian Spatial Analysis

Zeng

Hao

Lee

et al. 2020

IJERPH

Self Cite

View full text Add to dashboard Cite

show abstract

“…In particular, one can consider the deviance information criterion available in Bayesian inference, which is deemed as a generalization of the AIC, providing a combined measure of model fit and complexity. In this regard, we refer to the works of [33], [34], [35] and [36]. This aspect needs further investigation that we leave for a future work.…”

Section: Plos Onementioning

confidence: 99%

Exponentiated power generalized Weibull power series family of distributions: Properties, estimation and applications

Aldahlan¹,

Jamal²,

Chesneau³

et al. 2020

PLoS ONE

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In this paper, we introduce the exponentiated power generalized Weibull power series (EPGWPS) family of distributions, obtained by compounding the exponentiated power generalized Weibull and power series distributions. By construction, the new family contains a myriad of new flexible lifetime distributions having strong physical interpretations (lifetime system, biological studies.. .). We discuss the characteristics and properties of the EPGWPS family, including its probability density and hazard rate functions, quantiles, moments, incomplete moments, skewness and kurtosis. The main vocation of the EPGWPS family remains to be applied in a statistical setting, and data analysis in particular. In this regard, we explore the estimation of the model parameters by the maximum likelihood method, with accuracy supported by a detailed simulation study. Then, we apply it to two practical data sets, showing the applicability and competitiveness of the EPGWPS models in comparison to some other well-reputed models.

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“…For example, Zeng et al [24] proposed a spatial Tobit model using Bayesian methodology for the analysis of the crash rate on the roadside. Zeng et al [25] used a Bayesian approach for the analysis of multivariate Spatio-temporal Tobit regression. For more application-based study see [26,27].…”

Section: : Introductionmentioning

confidence: 99%

An improved Bayesian Modified-EWMA location chart and its applications in mechanical and sport industry

Aslam

Anwar

2020

PLoS ONE

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Control charts are popular tools in the statistical process control toolkit and the exponentially weighted moving average (EWMA) chart is one of its essential component for efficient process monitoring. In the present study, a new Bayesian Modified-EWMA chart is proposed for the monitoring of the location parameter in a process. Four various loss functions and a conjugate prior distribution are used in this study. The average run length is used as a performance evaluation tool for the proposed chart and its counterparts. The results advocate that the proposed chart performs very well for the monitoring of small to moderate shifts in the process and beats the existing counterparts. The significance of the proposed scheme has proved through two real-life examples: (1) For the monitoring of the reaming process which is used in the mechanical industry. (2) For the monitoring of golf ball performance in the sports industry.

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Jointly modeling area-level crash rates by severity: a Bayesian multivariate random-parameters spatio-temporal Tobit regression

Cited by 68 publications

References 62 publications

Investigating the Impacts of Real-Time Weather Conditions on Freeway Crash Severity: A Bayesian Spatial Analysis

Investigating the Impacts of Real-Time Weather Conditions on Freeway Crash Severity: A Bayesian Spatial Analysis

Exponentiated power generalized Weibull power series family of distributions: Properties, estimation and applications

An improved Bayesian Modified-EWMA location chart and its applications in mechanical and sport industry

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