5,814 research outputs found
The distribution of Pearson residuals in generalized linear models
In general, the distribution of residuals cannot be obtained explicitly. We
give an asymptotic formula for the density of Pearson residuals in continuous
generalized linear models corrected to order , where is the sample
size. We define corrected Pearson residuals for these models that, to this
order of approximation, have exactly the same distribution of the true Pearson
residuals. Applications for important generalized linear models are provided
and simulation results for a gamma model illustrate the usefulness of the
corrected Pearson residuals
Some Extended Classes of Distributions: Characterizations and Properties
Based on a simple relationship between two truncated moments and certain functions of the th order statistic, we characterize some extended classes of distributions recently proposed in the statistical literature, videlicet Beta-G, Gamma-G, Kumaraswamy-G and McDonald-G. Several properties of these extended classes and some special cases are discussed. We compare these classes in terms of goodness-of-fit criteria using some baseline distributions by means of two real data sets
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