A modified box and cox power transformation to determine the standardized precipitation index
© 2018, Prince of Songkla University. All rights reserved. The objective of this research was to create a new transformation method, based on a modification of the Box and Cox power transformation (SMBC) by adding the ratio of skewness to two sample sizes, to characterized rought conditions with a s...
Saved in:
Main Authors: | , |
---|---|
Format: | Journal |
Published: |
2018
|
Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057187948&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62988 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Chiang Mai University |
id |
th-cmuir.6653943832-62988 |
---|---|
record_format |
dspace |
spelling |
th-cmuir.6653943832-629882018-12-14T04:13:51Z A modified box and cox power transformation to determine the standardized precipitation index Tanachot Chaito Manad Khamkong Multidisciplinary © 2018, Prince of Songkla University. All rights reserved. The objective of this research was to create a new transformation method, based on a modification of the Box and Cox power transformation (SMBC) by adding the ratio of skewness to two sample sizes, to characterized rought conditions with a standardized precipitation index (SPI). Along with the various classical data transformations, namely the Box and Cox power transformation (BC), the exponential transformation, the Yeo and Johnson transformation, and a modification to BC by adding range, the results of a simulation study showed that the BC and SMBC methods had similar efficiencies when transforming gamma data, Weibull data, and Pearson type III data to a normal distribution, and notably, SMBC performed particularly well with the latter. Drought conditions were evaluated using the SMBC transformation on real-life data from rain gauging stations at Muang (Lamphun), Mae Prik (Lampang) and Chom Thong (Chiang Mai), Thailand. The SMBC proved to be particularly useful in determining the SPI. 2018-12-14T04:13:51Z 2018-12-14T04:13:51Z 2018-07-01 Journal 01253395 2-s2.0-85057187948 10.14456/sjst-psu.2018.91 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057187948&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62988 |
institution |
Chiang Mai University |
building |
Chiang Mai University Library |
country |
Thailand |
collection |
CMU Intellectual Repository |
topic |
Multidisciplinary |
spellingShingle |
Multidisciplinary Tanachot Chaito Manad Khamkong A modified box and cox power transformation to determine the standardized precipitation index |
description |
© 2018, Prince of Songkla University. All rights reserved. The objective of this research was to create a new transformation method, based on a modification of the Box and Cox power transformation (SMBC) by adding the ratio of skewness to two sample sizes, to characterized rought conditions with a standardized precipitation index (SPI). Along with the various classical data transformations, namely the Box and Cox power transformation (BC), the exponential transformation, the Yeo and Johnson transformation, and a modification to BC by adding range, the results of a simulation study showed that the BC and SMBC methods had similar efficiencies when transforming gamma data, Weibull data, and Pearson type III data to a normal distribution, and notably, SMBC performed particularly well with the latter. Drought conditions were evaluated using the SMBC transformation on real-life data from rain gauging stations at Muang (Lamphun), Mae Prik (Lampang) and Chom Thong (Chiang Mai), Thailand. The SMBC proved to be particularly useful in determining the SPI. |
format |
Journal |
author |
Tanachot Chaito Manad Khamkong |
author_facet |
Tanachot Chaito Manad Khamkong |
author_sort |
Tanachot Chaito |
title |
A modified box and cox power transformation to determine the standardized precipitation index |
title_short |
A modified box and cox power transformation to determine the standardized precipitation index |
title_full |
A modified box and cox power transformation to determine the standardized precipitation index |
title_fullStr |
A modified box and cox power transformation to determine the standardized precipitation index |
title_full_unstemmed |
A modified box and cox power transformation to determine the standardized precipitation index |
title_sort |
modified box and cox power transformation to determine the standardized precipitation index |
publishDate |
2018 |
url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057187948&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62988 |
_version_ |
1681425908659912704 |