Chapter 5 Other continuous distributions

In addition to the normal distribution, there are many other continuous distributions that are commonly used in statistics. The below table summarises a few, followed by example probability density functions graphically displayed. We will revisit some of these distributions later on in the subject.

Distribution	Parameters
Student's $t$ $X\sim t_{\text{df}}$	$\text{df}$ (degrees of freedom)
F $X\sim F(d_1, d_2)$	$d_1, d_2$
Chi-squared $X\sim \chi^2(k)$	$k$
Exponential $X\sim \text{EXP}(\lambda)$	$\lambda$

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These notes have been prepared by Amanda J. Shaker. The copyright for the material in these notes resides with the author named above, with the Department of Mathematics and Statistics and with La Trobe University. Copyright in this work is vested in La Trobe University including all La Trobe University branding and naming. Unless otherwise stated, material within this work is licensed under a Creative Commons Attribution-Non Commercial-Non Derivatives License CC BY-NC-ND