Regresyon analizlerinde bağımlı değişkenler normal dağılım gösterebilmekle birlikte iki değere sahip olabilirler. Bağımlı değişkenlere ilişkin durumlar nicel veya nitel olarak ölçümlenmesiyle veri setleri oluşturulur. Söz konusu gruplar içerisinde yer alan verilerin değerlendirilmesi ve modellenmesi için çeşitli yöntemler bulunmaktadır. Bu yöntemlerden birisi ise poisson regresyon modelidir. Ar...

Poisson log-linear models are ubiquitous in many applications, and one of the most popular approaches for parametric count regression. In Bayesian context, however, there no sufficient specific computational tools efficient sampling from posterior distribution parameters, standard algorithms, such as random walk Metropolis-Hastings or Hamiltonian Monte Carlo typically used. Herein, we developed...

A new area of research involves the use of normalized and scaled Google search volume data to predict economic activity. This new source of data holds both many advantages as well as disadvantages. Daily and weekly data are employed to show the effect of aggregation in Google data, which can lead to contradictory findings. In this paper, Poisson regressions are used to explore the relationship ...

For modeling count data, the Poisson regression model is widely used in which response variable takes non-negative integer values. However, presence of strong correlation between explanatory variables causes problem multicollinearity. Due to multicollinearity, variance maximum likelihood estimator (MLE) will be inflated causing parameters estimation become unstable. Multicollinearity can tackle...

It is of considerable interest to forecast future mesothelioma mortality. No measures for exposure are available so it is not straight forward to apply a doseresponse model. It is proposed to model the counts of deaths directly using a Poisson regression with an age-period-cohort structure, but without offset. Traditionally the age-period-cohort is viewed to suffer from an identification proble...

For testing goodness of fit it is very popular to use either the χ-statistic or G-statistics (information divergence). Asymptotically both are χ-distributed so an obvious question is which of the two statistics that has a distribution that is closest to the χ-distribution. Surprisingly, when there is only one degree of freedom it seems like the distribution of information divergence is much bet...

The economic geography of the United States’ energy landscape changed rapidly with domestic expansion of the natural gas sector. Recent work with smooth transition parameter models is extended to an establishment location model estimated using Poisson regression to test whether expansion of this sector, as evidenced by firm location decisions from 2005 to 2010, is characterized by different gro...

Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group man-ifolds is also studied and non-trivial examples (differe...