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Modification of Tukey’s smoothing techniques for extreme data


Citation

Husain, Qasim Nasir (2017) Modification of Tukey’s smoothing techniques for extreme data. Doctoral thesis, Universiti Putra Malaysia.

Abstract

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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Additional Metadata

Item Type: Thesis (Doctoral)
Subject: Mathematical models
Subject: Quantitative research
Subject: Symmetric spaces
Call Number: FS 2017 84
Chairman Supervisor: Associated Professor Mohd Bakri Adam, PhD
Divisions: Faculty of Science
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 26 Mar 2019 08:15
Last Modified: 26 Mar 2019 08:15
URI: http://psasir.upm.edu.my/id/eprint/67711
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