Klasik Kanada Lynx Verileri İçin Önceden Bulunmuş Zaman Serisi Modellerinin K-Means Küme Yöntemi ve BDS Testi ile İncelenmesi

Year 2023, Issue: 7, 18 - 25, 09.07.2023

Reşat Kasap

https://doi.org/10.52693/jsas.1281549

Abstract

Kanada vaşağı verileri literatürde yaygın olarak kullanılmaktadır ve modellenmiştir. Bugüne kadar pek çok farklı model yapılmış olmasına rağmen, bu modeller arasındaki benzerlik veya farklılıkların araştırılması için artıklar açısından model tabanlı sınıflandırma çalışmaları yapılmamıştır. Bu çalışma, Kanada vaşak zaman serileri için daha önce elde edilen modelleri gözden geçirdi. Mevcut çalışmanın çıkış noktası artıklardır ve bunun için bazı istatistiksel veri analiz araçları kullanılmaktadır. Modellerin artık serileri, K-means kümeleme yöntemi ile kümelenir. Ayrıca bu zaman serisi için yeni bir model önerilmiş ve model literatürdeki diğer modellerle birlikte veri analizine dahil edilmiştir. Ayrıca modellerin tüm artık zaman serileri için kaos analizi yapılmıştır.
Anahtar Sözcükler: Zaman serileri, K-means küme yöntemi, BDS Test İstatistiği, Kanada vaşak verileri

Keywords

Zaman serileri, K-ortalama kümeleme yöntemi, BDS test istatistiği, Kanada lynx verisi

Examination of Pre-Founded Time-Series Models for Classic Canada Lynx Data by K-Means Cluster Method and BDS Test

Abstract

Canadian lynx data are widely used and modeled in the literature. Although many different models have been made so far, no model-based classification studies have been carried out in terms of residuals to investigate the similarities or differences between these models. This study reviewed previously obtained models for the Canadian lynx time series. The starting point of the current study is residuals, and some statistical data analysis tools are used for this. The residual series of the models are clustered with the K-means cluster method. Besides, a new model is proposed for this time series, and the model is included in the data analysis together with other models in the literature. In addition, chaos analysis was performed for all residual time series of the models.

Keywords

Time series, the K-means cluster methods, BDS test statistic, Canadian lynx data

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