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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 4

Linear penalized spline model estimation using ranked set sampling technique

Al Kadiri M. A
Sayfa
669–683
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The approach in this paper can be illustrated for general smoothing spline models; for example B-spline,Radial spline etc, straightforwardly.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Benefits of using Ranked Set Sampling (RSS) rather than Simple Random Sampling (SRS) are indeed significant when estimating population mean or estimating linear models.
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Temel Bulgular & Veri:Significance of this sampling method clearly appears since it can increase efficiency of the estimated parameters and decrease sampling costs.
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Sonuç & Katkı:The approach in this paper can be illustrated for general smoothing spline models; for example B-spline,Radial spline etc, straightforwardly.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Penalized generalized least square method · Ranked Set Sampling · Mallow criterion

Abstract

Benefits of using Ranked Set Sampling (RSS) rather than Simple Random Sampling (SRS) are indeed significant when estimating population mean or estimating linear models. Significance of this sampling method clearly appears since it can increase efficiency of the estimated parameters and decrease sampling costs. This paper investigates and introduces RSS method to fit spline and penalized spline models parametrically. It shows that the estimated parameters using RSS are more efficient than the estimated parameters using SRS for both spline and penalized spline models. The superiority of RSS approach is demonstrated using a simulation study as well as the "Air pollution" environmental real data study. The approach in this paper can be illustrated for general smoothing spline models; for example B-spline,Radial spline etc, straightforwardly.

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Bu Makaleye Atıf Yap

A, A. K. M. (2022). Linear penalized spline model estimation using ranked set sampling technique. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 4, 669–683. https://ajindex.com/articles/529934

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