25Beta Distribution
As one of the more commonly used distributions, the classic beta distribution was described in Section 12.3. Here we cover special cases and enhancements.
25.1 Arcsine
Setting, in Equation (12.13), both δ1 and δ2 to 0.5 gives the special case known as the arcsine distribution
It is the CDF that gives the distribution its name
Inverting give the QF
Statistical parameters are
There is also the second kind of the arc‐sine distribution; its PDF is
Figure 25.1 shows both kinds. Without a shape factor they cannot be fitted to data but, in any case, it is difficult to see what application either of the anti‐modal distributions ...
Get Statistics for Process Control Engineers now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
