Skip to Main Content
Statistics for Process Control Engineers
book

Statistics for Process Control Engineers

by Myke King
October 2017
Intermediate to advanced content levelIntermediate to advanced
624 pages
17h 24m
English
Wiley
Content preview from Statistics for Process Control Engineers

28Exponential Distribution

We covered the classic exponential distribution in Section 12.7. Here we describe a range of extensions.

28.1 Generalised Exponential

The generalised exponential distribution, confusingly, can be referred to by using the same GED acronym as the generalised error distribution that we covered in Section 20.12. Less ambiguously known as the exponentiated exponential distribution, it extends the exponential distribution by adding a shape parameter (δ). It is described by

(28.1)images
(28.2)images
(28.3)images

Fitting to the intervals between events of the LPG splitter reflux exceeding 65 m3/hr gives α as 0.0626, β as 12.5 and δ as 0.950. With δ so close to 1, in this case RSS is only slightly improved, from 0.0058 for the classic exponential distribution, to 0.0053.

28.2 Gompertz–Verhulst

The Gompertz–Verhulst distribution[22] includes another shape parameter. It is described by

(28.4)images

(28.5)images

If δ1 is set to 1, the distribution reverts to the generalised exponential distribution. ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Statistics for Mining Engineering

Statistics for Mining Engineering

Jacek M. Czaplicki
Nonparametric Statistical Process Control

Nonparametric Statistical Process Control

Subhabrata Chakraborti, Marien Graham

Publisher Resources

ISBN: 9781119383505