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...

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Main Authors: Tanachot Chaito, Manad Khamkong
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/62988
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Institution: Chiang Mai University
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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
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