Exponential Estimators Under Non-Response Cases

Year 2025, Volume: 10 Issue: 1, 60 - 72, 29.06.2025

Ceren Ünal , Cem Kadılar

https://doi.org/10.33484/sinopfbd.1569245

Abstract

This study proposes new families of estimators for the estimation of the population mean using the Hansen-Hurwitz method. This method is examined in two cases, referred to as Case I and Case II. According to both cases, the expressions for the proposed family of estimators are derived. After theoretical comparisons, a new data set on the magnitude and a simulation study are conducted to support these theoretical results. As a consequence of this study, the proposed families of estimators perform well under the obtained conditions for both non-response schemes and can be used successfully in the field of seismology.

Keywords

Population mean, non-response, efficiency, exponential type estimators

Supporting Institution

Scientific and Technological Research Council of Turkey (TUBITAK)

Project Number

121F208

Thanks

This publication is a part of PhD thesis of the first author. The authors are very grateful to the blinded reviewers for their valuable comments and to Dr. Lovleen Kumar Grover for providing us all required information. This study was supported by Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant Number 121F208. The authors thank to TUBITAK for their supports. The authors also thank to Assoc. Prof. Dr. Senem Tekin and Assoc. Prof. Dr. Tuba Eroğlu Azak for preparing the data set and thank to Prof. Dr. Tolga Çan for his valuable advice.

Cevapsızlık Durumunda Üstel Tip Tahmin Ediciler

Abstract

Bu çalışma, Hansen-Hurwitz yöntemini kullanarak kitle ortalamasının tahmini için yeni tahmin edici aileleri önermektedir. Bu yöntem, Durum I ve Durum II olarak adlandırılan farklı iki durumda incelenmiştir. Her iki duruma göre de önerilen tahmin edici aileleri için teorik çıkarsamalar elde edilmiştir. Yapılan teorik karşılaştırmalardan sonra, bu sonuçları desteklemek amacıyla deprem ile alakalı gerçek veri seti uygulaması ve simülasyon çalışması gerçekleştirilmiştir. Bu çalışma ile önerilen tahmin edici aileleri elde edilen koşullar altında karşılaştırılan tahmin edicilere göre daha iyi performans göstermekte olduğu ve bu tahmin edici ailelerinin deprem alanında da kullanılabileceği sonucuna ulaşılmıştır.

Keywords

Kitle ortalaması, cevapsızlık durumu, etkinlik, üstel tip tahmin ediciler

Project Number

121F208

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