TY  - JOUR
T1  - Çift Sıralı Küme Örnekleme Tasarımı Altında Power Rayleigh Dağılımı Parametrelerinin Farklı Yöntemler ile Tahmini
TT  - Estimation of the Parameters of the Power Rayleigh Distribution Using Different Methods Under a Double Ranked Set Sampling Design
AU  - Gül, Hasan Hüseyin
AU  - Yeniay Koçer, Nurdan
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.33484/sinopfbd.1597275
JF  - Sinop Üniversitesi Fen Bilimleri Dergisi
JO  - Sinop Uni J Nat Sci
PB  - Sinop Üniversitesi
WT  - DergiPark
SN  - 2536-4383
SP  - 110
EP  - 133
VL  - 10
IS  - 1
LA  - tr
AB  - Bu çalışmada, Basit Tesadüfi Örnekleme, Sıralı Küme Örneklemesi ve Çift Sıralı Küme Örneklemesi tasarımları altında parametre tahmini için Power Rayleigh dağılımının kullanımı incelenmiştir. Power Rayleigh dağılımına ilişkin parametrelerin tahmini için maksimum olabilirlik ve moment yöntemine dayalı tahmin edicileri tartışılmış ve bunların özellikleri basit rastgele örnekleme, sıralı küme örneklemesi ve çift sıralı küme örneklemesi tasarımları için analiz edilmiştir. Maksimum olabilirlik ve moment tahmin edicilerinin performanslarını yanlılıklar ve hata kare ortalamaları açısından değerlendirmek için kapsamlı bir Monte Carlo simülasyon çalışması yapılmıştır. Sonuçlar, çift sıralı küme örneklemesi altındaki moment tahmin edicisinin basit tesadüfi örnekleme ve sıralı küme örneklemesi tasarımlarından önemli ölçüde daha verimli olduğunu göstermektedir.
KW  - Çift sıralı küme örneklemesi
KW  - sıralı küme örneklemesi
KW  - parametre tahmini
KW  - Power Rayleigh dağılımı
N2  - In this study, the use of the Power Rayleigh distribution for parameter estimation under simple random sampling, ranked set sampling and double ranked set sampling designs is investigated. Maximum likelihood and method of moment estimators for parameter estimation of the power Rayleigh distribution are discussed and their properties are analysed for the simple random sampling, ranked set sampling and double ranked set sampling designs. A comprehensive Monte Carlo simulation study was carried out to evaluate the performance of the maximum likelihood and moment estimators in terms of biases and mean square errors. The results show that the moment estimator under the double ranked set sampling desing is significantly more efficient than the simple random sampling and ranked set sampling designs.
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UR  - https://doi.org/10.33484/sinopfbd.1597275
L1  - https://dergipark.org.tr/tr/download/article-file/4421139
ER  -