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Parameter estimation and outlier detection for some types of circular model

This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the con...

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Main Author: Siti Zanariah, Satari
Format: Thesis
Language:English
Published: 2015
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf
http://umpir.ump.edu.my/id/eprint/14057/
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spelling my.ump.umpir.140572021-11-17T04:29:57Z http://umpir.ump.edu.my/id/eprint/14057/ Parameter estimation and outlier detection for some types of circular model Siti Zanariah, Satari QA Mathematics This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study. 2015 Thesis NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf Siti Zanariah, Satari (2015) Parameter estimation and outlier detection for some types of circular model. PhD thesis, University of Malaya.
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Siti Zanariah, Satari
Parameter estimation and outlier detection for some types of circular model
description This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study.
format Thesis
author Siti Zanariah, Satari
author_facet Siti Zanariah, Satari
author_sort Siti Zanariah, Satari
title Parameter estimation and outlier detection for some types of circular model
title_short Parameter estimation and outlier detection for some types of circular model
title_full Parameter estimation and outlier detection for some types of circular model
title_fullStr Parameter estimation and outlier detection for some types of circular model
title_full_unstemmed Parameter estimation and outlier detection for some types of circular model
title_sort parameter estimation and outlier detection for some types of circular model
publishDate 2015
url http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf
http://umpir.ump.edu.my/id/eprint/14057/
_version_ 1717093618519375872
score 13.211869

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