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On Fitting the Poisson Lognormal Distribution to Species-Abundance Data
Biometrics, 1974An extension of MacArthur's "broken stick" model is proposed to explain why species abundances should be lognormally distributed. A method of fitting the compound Poisson lognormal distribution by maximum likelihood is described; a computer program is available for performing the calculations.
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Retention for Stoploss reinsurance to minimize VaR in compound Poisson-Lognormal distribution
AIP Conference Proceedings, 2015Automobile insurance is one of the emerging general insurance’s product in Indonesia. Fluctuation in total premium revenues and total claim expenses leads to a risk that insurance company can not be able to pay consumer’s claims, thus reinsurance is needeed.
Achmad Zanbar Soleh +2 more
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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.
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Bayesian Multivariate Poisson Lognormal Models for Crash Severity Modeling and Site Ranking
Transportation Research Record: Journal of the Transportation Research Board, 2009Traditionally, highway safety analyses have used univariate Poisson or negative binomial distributions to model crash counts for different levels of crash severity. Because unobservables or omitted variables are shared across severity levels, however, crash counts are multivariate in nature. This research uses full Bayes multivariate Poisson lognormal
Jonathan Aguero-Valverde +1 more
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Critical elements on fitting the Bayesian multivariate Poisson Lognormal model
AIP Conference Proceedings, 2015Motivated by a problem on fitting multivariate models to traffic accident data, a detailed discussion of the Multivariate Poisson Lognormal (MPL) model is presented. This paper reveals three critical elements on fitting the MPL model: the setting of initial estimates, hyperparameters and tuning parameters.
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Density approximations and VaR computation for compound Poisson-lognormal distributions
Communications in Statistics - Simulation and Computation, 2015ABSTRACTParametric approximations of the compound Poisson-lognormal distribution are developed and used to compute Value-at-Risk (VaR). As guidelines for finding an approximation, the skewness–kurtosis space and the tail behavior are considered. The Generalized Beta distribution of the second kind (GB2) and a mixture of lognormals are found to provide ...
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The 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 +3 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 +3 more
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Accident Analysis & Prevention, 2013
In recent years, complex statistical modeling approaches have being proposed to handle the unobserved heterogeneity and the excess of zeros frequently found in crash data, including random effects and zero inflated models. This research compares random effects, zero inflated, and zero inflated random effects models using a full Bayes hierarchical ...
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In recent years, complex statistical modeling approaches have being proposed to handle the unobserved heterogeneity and the excess of zeros frequently found in crash data, including random effects and zero inflated models. This research compares random effects, zero inflated, and zero inflated random effects models using a full Bayes hierarchical ...
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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
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Accident Analysis & Prevention, 2013
This work examines the relationship between 3-year pedestrian crash counts across Census tracts in Austin, Texas, and various land use, network, and demographic attributes, such as land use balance, residents' access to commercial land uses, sidewalk density, lane-mile densities (by roadway class), and population and employment densities (by type). The
Yiyi, Wang, Kara M, Kockelman
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This work examines the relationship between 3-year pedestrian crash counts across Census tracts in Austin, Texas, and various land use, network, and demographic attributes, such as land use balance, residents' access to commercial land uses, sidewalk density, lane-mile densities (by roadway class), and population and employment densities (by type). The
Yiyi, Wang, Kara M, Kockelman
openaire +2 more sources