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## trenOrtalama Karesel Hata Matrisi Kriterine göre Yanlı Tahmin Ediciler Üzerine ÇalışmaThe Research on Biased Estimators Based on Mean Square Error Matrix Criteria

#### Nilgün YILDIZ [1]

Çoklu doğrusallığa sahip regresyon modelleri, r- (k, d) sınıfı tahmincileri, ana bileşen regresyonu, Liu tipi tahminciler gibi çeşitli tahmincileri kullanarak ele alınabilir. Bu çalışmada, r- (k, d) sınıfı kestiricisinin, ana bileşenlerin regresyonu, Liu tipi tahmincileri ve sıradan en küçük kareler üzerinde, ortalama karesel hata matrisi (MSEM) kriteri açısından üstün olduğu koşulları belirledik. Son olarak, sayısal bir örnek ve Monte Carlo simülasyonu ile teorik sonuçları gösterdik.

Regression models with multicollinearity can be tackled by using various estimators such as   class estimators, principal components regression, Liu-type estimators. In this study, we defined conditions where the   class estimator is superior over the biased estimators in terms of mean square error matrix (MSEM) criterion. Finally, we showed theoretical results by means of a numerical example and a simulation study.

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Birincil Dil en Mühendislik Araştırma Makaleleri Orcid: orcid.org/0000-0002-4084-1969Yazar: Nilgün YILDIZ (Sorumlu Yazar)Kurum: Marmara UniversitesiÜlke: Turkey Yayımlanma Tarihi : 31 Mart 2018
 Bibtex @araştırma makalesi { marufbd371450, journal = {Marmara Fen Bilimleri Dergisi}, issn = {}, eissn = {2146-5150}, address = {}, publisher = {Marmara Üniversitesi}, year = {2018}, volume = {30}, pages = {18 - 25}, doi = {10.7240/marufbd.371450}, title = {The Research on Biased Estimators Based on Mean Square Error Matrix Criteria}, key = {cite}, author = {YILDIZ, Nilgün} } APA YILDIZ, N . (2018). The Research on Biased Estimators Based on Mean Square Error Matrix Criteria. Marmara Fen Bilimleri Dergisi , 30 (1) , 18-25 . DOI: 10.7240/marufbd.371450 MLA YILDIZ, N . "The Research on Biased Estimators Based on Mean Square Error Matrix Criteria". Marmara Fen Bilimleri Dergisi 30 (2018 ): 18-25 Chicago YILDIZ, N . "The Research on Biased Estimators Based on Mean Square Error Matrix Criteria". Marmara Fen Bilimleri Dergisi 30 (2018 ): 18-25 RIS TY - JOUR T1 - The Research on Biased Estimators Based on Mean Square Error Matrix Criteria AU - Nilgün YILDIZ Y1 - 2018 PY - 2018 N1 - doi: 10.7240/marufbd.371450 DO - 10.7240/marufbd.371450 T2 - Marmara Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 18 EP - 25 VL - 30 IS - 1 SN - -2146-5150 M3 - doi: 10.7240/marufbd.371450 UR - https://doi.org/10.7240/marufbd.371450 Y2 - 2018 ER - EndNote %0 Marmara Fen Bilimleri Dergisi The Research on Biased Estimators Based on Mean Square Error Matrix Criteria %A Nilgün YILDIZ %T The Research on Biased Estimators Based on Mean Square Error Matrix Criteria %D 2018 %J Marmara Fen Bilimleri Dergisi %P -2146-5150 %V 30 %N 1 %R doi: 10.7240/marufbd.371450 %U 10.7240/marufbd.371450 ISNAD YILDIZ, Nilgün . "The Research on Biased Estimators Based on Mean Square Error Matrix Criteria". Marmara Fen Bilimleri Dergisi 30 / 1 (Mart 2018): 18-25 . https://doi.org/10.7240/marufbd.371450 AMA YILDIZ N . The Research on Biased Estimators Based on Mean Square Error Matrix Criteria. MFBD. 2018; 30(1): 18-25. Vancouver YILDIZ N . The Research on Biased Estimators Based on Mean Square Error Matrix Criteria. Marmara Fen Bilimleri Dergisi. 2018; 30(1): 25-18.