# Tagged Questions

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### Poisson rate regression: Deriving alpha and beta from likelihood theory

A study of patientâ€™s survival was classified by sex (female or male) with follow up of patients until the patient died or the study ended. We have the following information- y1- Number of deaths ...
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### Maximum likelihood estimation in a Poisson model for football (soccer) scores

I've got a set of football results and I want to make a probabilty model of football scores as described in Dixon, Coles (1997, http://www.math.ku.dk/~rolf/teaching/thesis/DixonColes.pdf). They ...
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### Using mle2() for age-period-cohort models

I've followed guidelines for comparing models in Chapter 6 of Bolker's Ecological Models and Data in R, applying code used in this section to cancer count data. The models include parameters for age ...
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### Maximizing: likelihood vs likelihood ratio

Say I have an observed data set ($n_i$) and I want to obtain the best fit out of 10 data sets produced by a model dependent on a single parameter $a$ ($m_i(a)\;a=1..10$). Suppose I use a Poisson ...
Lets' say I have a Poisson distribution for which I use a maximum likelihood defined as: $P_i=\frac{m_i^{n_i}}{e^{m_i}n_i!}$ where $m_i$ represents the model value of bin $i$ (real, $m_i$> 0) and ...
I have two random poisson variables $x_1$ and $x_2$ with value 10 and 25 respectively. I am interested to use likelihood ratio test to test the null hypothesis: $\lambda_1=\lambda_2$, versus alernate ...