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Review: Detecting Outliers with Distributions for Estimating Time Series Models.

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Last updated: 28 Dec 2024

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Abstract

In statistical analysis, outliers represent data points that significantly deviate from the general pattern of a dataset. Understanding and addressing outliers is crucial because they can skew results, impacting the reliability and validity of conclusions drawn from data analysis. This paper provides an in-depth exploration of outliers across three key dimensions. First, it offers a general overview of outliers, discussing their characteristics, methods, and algorithms used to detect them in various contexts, including fields such as finance, healthcare, and social sciences. Second, it examines outliers within distributions, detailing how they influence measures such as mean, median, variance, and standard deviation, and how they can affect the overall shape and interpretation of the data distribution. Techniques for detecting and mitigating the impact of outliers are also discussed. Third, it analyzes outliers within time series data, focusing on their potential to distort trends, cyclic patterns, and forecasting accuracy. By investigating these dimensions, this paper aims to enhance the understanding of outliers and underscore their significance and challenges in statistical analysis.

DOI

10.21608/esju.2024.306371.1037

Keywords

outlier, time series, ARIMA, autoregressive, Exponential, gamma, Additive outlier

Authors

First Name

Mohamed

Last Name

Abd-Elaziz

MiddleName

Ezzat

Affiliation

Applied statistics, Faculty of graduate studies for statistical research, Cairo, Egypt

Email

mohamed.ezzat.abdelazez@gmail.com

City

Cairo

Orcid

-

First Name

Ahmed

Last Name

Amin El-Sheikh

MiddleName

-

Affiliation

Faculty of Graduate Studies for Statistical Research, Cairo University.

Email

-

City

-

Orcid

-

First Name

Amal

Last Name

Abd-Elfatah

MiddleName

Mohamed

Affiliation

Faculty of Graduate Studies for Statistical Research, Cairo University

Email

asoubh84@gmail.com

City

-

Orcid

-

Volume

68

Article Issue

2

Related Issue

52073

Issue Date

2024-12-01

Receive Date

2024-07-22

Publish Date

2024-12-01

Page Start

24

Page End

33

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_396750.html

Detail API

https://esju.journals.ekb.eg/service?article_code=396750

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Review: Detecting Outliers with Distributions for Estimating Time Series Models.

Details

Type

Article

Created At

28 Dec 2024