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3 votes
2 answers
244 views

Inconsistency in statistics: parameters estimation with heteroskedasticity

I want to estimate this model $$ y_t = a + b x_t + \sigma x_t\epsilon_t $$ where we have an error with heteroskedasticity (it depends on $x_t$). Suppose I estimate this model with OLS so, assuming ...
gian93's user avatar
  • 31
3 votes
1 answer
136 views

Distribution of dispersion submodel

In double generalized linear models where we assume $y$ follows an exponential dispersion model, where the mean can be modelled as $$g(\mu_i)=x_i^T\beta,$$ and the dispersion $(\phi)$ can be modelled ...
Acarbalacar's user avatar
9 votes
1 answer
1k views

Fitting a heteroscedastic generalized linear model for binomial responses

I have data from the following experimental design: my observations are counts of the numbers of successes (K) out of corresponding number of trials (...
user1701545's user avatar
22 votes
2 answers
95k views

Using R for GLM with Gamma distribution

I currently have a problem understanding the syntax for R for fitting a GLM using the Gamma distribution. I have a set of data, where each row contains 3 co-variates ($X_1, X_2, X_3$), a response ...
Jon Claus's user avatar
  • 605