Poisson regression, Advanced Statistics

Assignment Help:

Poisson regression

In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regression is used when the response to model is counts which typically follow a Poisson distribution. Examples include colony counts for bacteria or viruses, accidents, equipment failures, insurance claims, incidence of disease. Interest often lies in estimating a rate of incidence and determining its relationship to a set of explanatory variables. Again, an IRLS procedure is used to ?nd the MLE estimators of the β coeffcients. When we can not assume φ = 1, (this is the case of over- or under- dispersion discussed in McCullagh and Nelder (1989)), the iterative procedure is changed to so called "quasi-likelihood estimation". Finally in this section, we shall also mention shortly the extension of GLM to GAM.


Related Discussions:- Poisson regression

Game theory, This is the branch of mathematics which deals with the theory ...

This is the branch of mathematics which deals with the theory of contests between two or more players under the specified sets of rules. The subject supposes a statistical aspect w

Explain household interview surveys, Household interview surveys : The surv...

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

Linear Programming, 1. The production manager of Koulder Refrigerators must...

1. The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There i

Statistically modeling, A comprehensive regression analysis of the case stu...

A comprehensive regression analysis of the case study London has been carried out to test the 4 assumptions of regression: 1. Variables are normally distributed 2. Linear rel

Doane''s rule, A rule for computing the number of classes to use while cons...

A rule for computing the number of classes to use while constructing a histogram and  can be given by   here n is the sample size and ^ γ is the estimate of kurtosis.

Dropout, A subject who withdraws from the study for whatever reason, advers...

A subject who withdraws from the study for whatever reason, adverse side effects, noncompliance, moving away from the district, etc. In number of cases the reason may not be known.

Matlab help, Need help with Matlab assignments.

Need help with Matlab assignments.

Cumulative frequency distribution, The tabulation of a sample of observatio...

The tabulation of a sample of observations in terms of numbers falling below particular values. The empirical equivalent of the growing probability distribution. An example of such

Cohort component method, Cohort component method : A broadly used method or...

Cohort component method : A broadly used method or technique of forecasting the age- and sex-speci?c population to the upcoming years, in which the initial population is strati?ed

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd