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Multivariate Poisson Lognormal Modeling of Weather-Related Crashes on Freeways
Transportation Research Record: Journal of the Transportation Research Board, 2018 Adverse weather conditions are one of the primary causes of motor vehicle crashes. To identify the factors contributing to crashes during adverse weather conditions and recommend cost-effective countermeasures, it is necessary to develop reliable crash prediction models to estimate weather-related crash frequencies.
Kai Wang, Shanshan Zhao, Eric Jackson
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On Poisson Mixture of Lognormal Distributions
Lobachevskii Journal of Mathematics, 2020Generally, jump-diffusion processes used in finance are confined to the processes with Brownian motion, constant trend and jump component, described by compound Poisson processes (CPP). CPP is usually defined by a sum of standard normal distributions. In most applications one either needs moments or characteristic function of the process.
V K Ohanyan, Ohanyan V K
exaly +3 more sources
Electrochemical horizons for the Poisson-lognormal distribution of probability theory
Journal of Electroanalytical Chemistry, 2005The potential application of the basic theory of Poisson-lognormal distribution to electrochemical systems is illustrated by the specific examples of ionic-species identification, contamination of cathode deposits, and membrane failure-time.
Thomas Z Fahidy
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Food Control, 2011
Abstract The choice of statistical distributions characterising microbial counts is essential in risk assessment and risk management. While the lognormal distribution has been long used to directly model the microbial data obtained from food samples, it does not allow for complete absence of microorganisms in a sample.
Ursula Gonzales-Barron, Francis Butler
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Abstract The choice of statistical distributions characterising microbial counts is essential in risk assessment and risk management. While the lognormal distribution has been long used to directly model the microbial data obtained from food samples, it does not allow for complete absence of microorganisms in a sample.
Ursula Gonzales-Barron, Francis Butler
exaly +2 more sources
Collision prediction models using multivariate Poisson-lognormal regression
Accident Analysis and Prevention, 2009This paper advocates the use of multivariate Poisson-lognormal (MVPLN) regression to develop models for collision count data. The MVPLN approach presents an opportunity to incorporate the correlations across collision severity levels and their influence on safety analyses.
Karim El-Basyouny, Tarek Sayed
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Transportmetrica A: Transport Science, 2019
Several studies have shown that the Poisson-lognormal (PLN) offers a better alternative compared to the Poisson-gamma (PG) when data are skewed while the PG is a more reliable option otherwise.
Mohammadali Shirazi, Dominique Lord
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Several studies have shown that the Poisson-lognormal (PLN) offers a better alternative compared to the Poisson-gamma (PG) when data are skewed while the PG is a more reliable option otherwise.
Mohammadali Shirazi, Dominique Lord
exaly +2 more sources
Food Control, 2011
Abstract In modelling risk management strategies (i.e., acceptance sampling plans, statistical process control), two basic assumptions have been normally made: that the true concentration of microorganisms are log-normally distributed within a batch , and that the variance of the samples is the same for a little or highly contaminated lot .
Ursula Gonzales-Barron, Francis Butler
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Abstract In modelling risk management strategies (i.e., acceptance sampling plans, statistical process control), two basic assumptions have been normally made: that the true concentration of microorganisms are log-normally distributed within a batch , and that the variance of the samples is the same for a little or highly contaminated lot .
Ursula Gonzales-Barron, Francis Butler
exaly +2 more sources
American Naturalist, 2002
The joint spatial and temporal fluctuations in the community structure of tropical butterflies are analyzed by fitting the bivariate Poisson lognormal distribution to a large number of observations in space and time. By applying multivariate dependent diffusions for describing the fluctuations in the abundances, the environmental variance is estimated ...
Steinar Engen +2 more
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The joint spatial and temporal fluctuations in the community structure of tropical butterflies are analyzed by fitting the bivariate Poisson lognormal distribution to a large number of observations in space and time. By applying multivariate dependent diffusions for describing the fluctuations in the abundances, the environmental variance is estimated ...
Steinar Engen +2 more
exaly +3 more sources
On robustness of maximum likelihood estimates for Poisson-lognormal models
Statistics & Probability Letters, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weems, K. S., Smith, P. J.
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Performance analysis of poisson cellular networks with lognormal shadowed Rayleigh fading
2014 IEEE International Conference on Communications (ICC), 2014This paper analyzes downlink coverage probability and spectral efficiency of Poisson cellular networks with lognormal shadowed Rayleigh fading, provided each user is associated to the closest base station (BS). Both location-dependent and cell area wide aspects of the coverage probability and spectral efficiency metrics are presented.
Xiaobin Yang, Abraham O. Fapojuwo
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