Modification of Tukey’s smoothing techniques for extreme data

Two Tukey’s techniques which are resistant line for linear trend and resistant smoothing for non linear trend have been reviewed in this research. The new resistant line for method of dividing the batches using range dealing with ties and non ties is recommended. The determination of sample size...

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Main Author: Husain, Qasim Nasir
Format: Thesis
Language:English
Published: 2017
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/67711/1/FS%202017%2084%20%20IR.pdf
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author Husain, Qasim Nasir
author_facet Husain, Qasim Nasir
author_sort Husain, Qasim Nasir
collection UPM
description Two Tukey’s techniques which are resistant line for linear trend and resistant smoothing for non linear trend have been reviewed in this research. The new resistant line for method of dividing the batches using range dealing with ties and non ties is recommended. The determination of sample size in each batch is also being introduced. In resistant smoothing, mathematical terms have been initiated and incorporated in this technique, the part which has been neglected by introducer of exploratory data analysis. New symmetric mean, right mean, left mean, right median, and left median have been proposed, leading to more simple process of smoothing technique. Later, the proposed methods have been used for the suggested compound smoothing techniques and hannings with simpler, faster and better smooth. Additionally, in order to evaluate the efficiency of variant proposed techniques together with the smoothing index and extra balance test, simulation data with big data size have successfully been applied.
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spelling upm.eprints-677112019-03-26T08:15:39Z http://psasir.upm.edu.my/id/eprint/67711/ Modification of Tukey’s smoothing techniques for extreme data Husain, Qasim Nasir Two Tukey’s techniques which are resistant line for linear trend and resistant smoothing for non linear trend have been reviewed in this research. The new resistant line for method of dividing the batches using range dealing with ties and non ties is recommended. The determination of sample size in each batch is also being introduced. In resistant smoothing, mathematical terms have been initiated and incorporated in this technique, the part which has been neglected by introducer of exploratory data analysis. New symmetric mean, right mean, left mean, right median, and left median have been proposed, leading to more simple process of smoothing technique. Later, the proposed methods have been used for the suggested compound smoothing techniques and hannings with simpler, faster and better smooth. Additionally, in order to evaluate the efficiency of variant proposed techniques together with the smoothing index and extra balance test, simulation data with big data size have successfully been applied. 2017-08 Thesis NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/67711/1/FS%202017%2084%20%20IR.pdf Husain, Qasim Nasir (2017) Modification of Tukey’s smoothing techniques for extreme data. Doctoral thesis, Universiti Putra Malaysia. Mathematical models Quantitative research Symmetric spaces
spellingShingle Mathematical models
Quantitative research
Symmetric spaces
Husain, Qasim Nasir
Modification of Tukey’s smoothing techniques for extreme data
title Modification of Tukey’s smoothing techniques for extreme data
title_full Modification of Tukey’s smoothing techniques for extreme data
title_fullStr Modification of Tukey’s smoothing techniques for extreme data
title_full_unstemmed Modification of Tukey’s smoothing techniques for extreme data
title_short Modification of Tukey’s smoothing techniques for extreme data
title_sort modification of tukey s smoothing techniques for extreme data
topic Mathematical models
Quantitative research
Symmetric spaces
url http://psasir.upm.edu.my/id/eprint/67711/1/FS%202017%2084%20%20IR.pdf
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