File:variance.png

Figure file · Underdispersion, positive responses, and quasi-likelihood

Variance as a function of the mean. On the left, mu, mu squared and mu cubed are the Poisson, gamma and inverse-Gaussian choices. On the right, the binomial variance and Wedderburn’s replacement: smaller in the tails, and relatively larger through the middle.

Size of this preview: 858 × 468 pixels. Select it to open the high-resolution file.

Summary

Description. Variance as a function of the mean. On the left, mu, mu squared and mu cubed are the Poisson, gamma and inverse-Gaussian choices. On the right, the binomial variance and Wedderburn’s replacement: smaller in the tails, and relatively larger through the middle.

Appears in. Underdispersion, positive responses, and quasi-likelihood

Made by. A figure from the course chapter.

Download

• PNG, high resolution (1980 × 1080 pixels, 116 KB)
• PNG, as shown on the wiki (858 × 468 pixels, 46 KB)
• PDF, vector, prints at any size (13 KB)

File usage

These 3 pages show the file:

• Mean and variance of an exponential family
• Quasi-score and quasi-likelihood
• Underdispersion, positive responses, and quasi-likelihood