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Bayesian Analysis of Poisson Regression With Lognormal Unobserved Heterogeneity: With an Application to the Patent-R&D Relationship

Communications in Statistics - Theory and Methods, 2010
This article considers explicit and detailed theoretical and empirical Bayesian analysis of the well-known Poisson regression model for count data with unobserved individual effects based on the lognormal, rather than the popular negative binomial ...
Efthymios G. Tsionas
exaly   +6 more sources

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On Poisson Mixture of Lognormal Distributions

Lobachevskii Journal of Mathematics, 2020
Generally, 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
exaly   +3 more sources

Electrochemical Horizons for the Poisson-Lognormal Distribution of Probability Theory

Journal of Electroanalytical Chemistry, 2005
The 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
exaly   +2 more sources

Collision Prediction Models Using Multivariate Poisson-Lognormal Regression

Accident Analysis and Prevention, 2009
This 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
exaly   +3 more sources

A Comparison Between the Discrete Poisson-Gamma and Poisson-Lognormal Distributions to Characterise Microbial Counts in Foods

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.
Úrsula Gonzales Barrón, Francis Butler
exaly   +2 more sources

On robustness of maximum likelihood estimates for Poisson-lognormal models

Statistics & Probability Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weems, K. S., Smith, P. J.
openaire   +2 more sources

Species Abundance in a Forest Community in South China: A Case of Poisson Lognormal Distribution [PDF]

Journal of Integrative Plant Biology, 2005
Abstract: Case studies on Poisson lognormal distribution of species abundance have been rare, especially in forest communities. We propose a numerical method to fit the Poisson lognormal to the species abundance data at an evergreen mixed forest in the Dinghushan Biosphere Reserve, South China.
Zuo-Yun Yin, Hai Ren, Guo-Yi Zhou
exaly   +2 more sources

Characteristics-Based Heuristics to Select a Logical Distribution Between the Poisson-Gamma and the Poisson-Lognormal for Crash Data Modelling

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
exaly   +2 more sources

The Poisson-Lognormal Model for Bibliometric/Scientometric Distributions

Information Processing and Management, 1994
Abstract The Poisson-lognormal model assumes that the intensity parameter of a Poisson process has a lognormal distribution in a sample of observations. This model can yield highly skewed, discrete distributions, but must be estimated by numerical methods.
exaly   +2 more sources

Performance analysis of poisson cellular networks with lognormal shadowed Rayleigh fading

2014 IEEE International Conference on Communications (ICC), 2014
This 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
openaire   +2 more sources