Likelihood‐Based Modeling and Analysis of Data Underdispersed Relative to the Poisson Distribution 来自 掌桥科研 喜欢 0 阅读量: 33 作者:MJ Faddy,RJ Bosch 摘要: By using a generalization of the Poisson process, distributions can be constructed that show appropriate amounts of underdispersion ...
Comparison of binomial distribution (N = 80, p = 0.1), wide bars, and Poisson distribution (μ = 8), narrow bars. Exercises 23.4.1 Radioactive decays for long-lived isotopes are governed by the Poisson distribution. In a Rutherford-Geiger experiment, the numbers of emitted α particles are...
2001. Likelihood-based modeling and analysis of data underdispersed relative to the poisson distribution. Biometrics 57: 620-624.Faddy M, Bosch R (2001) Likelihood-based modeling and analysis of data underdispersed relative to the Poisson distribution. Biometrics 57(2):620-624...
In this lecture, we explain how to derive the maximum likelihood estimator (MLE) of the parameter of a Poisson distribution. Revision materialBefore reading this lecture, you might want to revise the pages on: maximum likelihood estimation; the Poisson distribution. ...
The comparison is made for arbitrary error variances. The structural quasi-likelihood (QL) estimator is based on a quasi score function, which is constructed from a conditional mean-variance model. The corrected estimator is based on an error-corrected likelihood score function. The alternative ...
Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in a Zero-inflated Poisson Mixture Distributions Zero-inflated Poisson (ZIP) regression is a model for count data with excess zeros. It assumes that with probability p the only possible observation is 0, ... A Yang,Z Yang ...
doi:10.2307/2285533Steve SelvinJournal of the American Statistical AssociationSelvin S., Maximum likelihood estimation in the truncated or censored Poisson distribution. J. Am. Statist. Assn. 69 (345), 234-237 (1974).
The Maximum Likelihood Estimator (MLE) is used to estimate the model parameters in PRMs. However, the MLE may suffer from various drawbacks that arise due to the existence of multicollinearity problems. Many estimators have been proposed as alternatives to each other to alleviate the ...
Evaluation and comparison of estimations in the generalized exponential-Poisson distribution The uniformly minimum variance unbiased, maximum-likelihood, percentile and least-squares estimators of the probability density function and the cumulative... S.F.,Bagheri,M.,... - 《Journal of Statistical Comput...
In this paper we present an R package called bivpois for maximum likelihood estimation of the parameters of bivariate and diagonal inflated bivariate Poisson regression models. An Expectation-Maximization (EM) algorithm is implemented. Inflated models allow for modelling both over-dispersion (or under...