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Journals / Alphanumeric Journal / 2026 / Volume: 7 Issue: 1

Comparison of Parametric and Non-Parametric Estimation Methods in Linear Regression Model

Doğrusal Regresyon Modelinde Parametrik ve Parametrik Olmayan Tahmin Yöntemlerinin Karşılaştırması

Tolga Zaman(ÇANKIRI KARATEKİN ÜNİVERSİTESİ)0000-0001-8780-3655
Kamil Alakuş(Ondokuz Mayıs University)
Pages
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Publication Date
2019-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In an attempt to show the need for non-parametric methods, results are evaluated based on real life data.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the aim was to review the methods of parametric and non-parametric analyses in simple linear regression model.
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Key Findings & Data:The least squares estimator (LSE) in parametric analysis of the model, and Mood-Brown and Theil-Sen methods that estimates the parameters according to the median value in non-parametric analysis of the model are introduced.
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Conclusion & Impact:In an attempt to show the need for non-parametric methods, results are evaluated based on real life data.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Outlier · Least Squares · Non-Parametric Estimation Methods

Abstract

In this study, the aim was to review the methods of parametric and non-parametric analyses in simple linear regression model. The least squares estimator (LSE) in parametric analysis of the model, and Mood-Brown and Theil-Sen methods that estimates the parameters according to the median value in non-parametric analysis of the model are introduced. Also, various weights of Theil-Sen method are examined and estimators are discussed. In an attempt to show the need for non-parametric methods, results are evaluated based on real life data.

Özet

Bu çalışmada, basit doğrusal regresyon modelinde parametrik ve parametrik olmayan analiz yöntemlerinin karşılaştırmalı olarak incelenmesi amaçlanmıştır. Modelin parametrik analizinde EKK tahmini, parametrik olmayan analizinde ise medyana göre parametre tahmini yapan Mood-Brown ve Theil-Sen yöntemleri tanıtılmıştır. Ayrıca Theil-Sen yöntemine ait çeşitli ağırlıklar incelenerek parametre tahmin ediciler tartışılmıştır. Parametrik olmayan yöntemlere olan ihtiyacı göstermek amacı ile sonuçlar gerçek yaşam verisi üzerinde değerlendirilmiştir.

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Cite This Article

Zaman, T., Alakuş, K. (2019). Comparison of Parametric and Non-Parametric Estimation Methods in Linear Regression Model. Alphanumeric Journal, Volume: 7 Issue: 1. https://doi.org/10.17093/alphanumeric.346469

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