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Homogeneous imputation under two phase probability proportional to size sampling

Muhammad Umair Sohail [1] , Javid Shabbir [2] , Cem Kadilar [3]

In this paper, we consider the problem of missing complete at random (MCAR) values in two phase probability proportional to size ($pps$) sampling for the estimation of population mean.  A class of estimators is considered by the suitable use of auxiliary information with the traditional estimators for imputing the missing values. Theoretically, bias and mean squared errors of the proposed estimators are obtained up to the first order approximation. Two numerical studies are carried out for relative comparison of the proposed estimators with mean estimator under two phase $pps$ sampling for each situation.
missing values, two phase sampling, imputation, probability proportional to size, auxiliary information
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Birincil Dil en İstatistik ve Olasılık İstatistik Orcid: 0000-0002-5440-126XYazar: Muhammad Umair Sohail (Sorumlu Yazar) Orcid: 0000-0002-0035-7072Yazar: Javid Shabbir Orcid: 0000-0003-4950-9660Yazar: Cem Kadilar Yayımlanma Tarihi : 8 Ekim 2019
 Bibtex @araştırma makalesi { hujms629930, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2019}, volume = {48}, pages = {1522 - 1546}, doi = {}, title = {Homogeneous imputation under two phase probability proportional to size sampling}, key = {cite}, author = {Sohail, Muhammad Umair and Shabbir, Javid and Kadilar, Cem} } APA Sohail, M , Shabbir, J , Kadilar, C . (2019). Homogeneous imputation under two phase probability proportional to size sampling. Hacettepe Journal of Mathematics and Statistics , 48 (5) , 1522-1546 . Retrieved from https://dergipark.org.tr/tr/pub/hujms/issue/49321/629930 MLA Sohail, M , Shabbir, J , Kadilar, C . "Homogeneous imputation under two phase probability proportional to size sampling". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1522-1546 Chicago Sohail, M , Shabbir, J , Kadilar, C . "Homogeneous imputation under two phase probability proportional to size sampling". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1522-1546 RIS TY - JOUR T1 - Homogeneous imputation under two phase probability proportional to size sampling AU - Muhammad Umair Sohail , Javid Shabbir , Cem Kadilar Y1 - 2019 PY - 2019 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1522 EP - 1546 VL - 48 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Homogeneous imputation under two phase probability proportional to size sampling %A Muhammad Umair Sohail , Javid Shabbir , Cem Kadilar %T Homogeneous imputation under two phase probability proportional to size sampling %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 5 %R %U ISNAD Sohail, Muhammad Umair , Shabbir, Javid , Kadilar, Cem . "Homogeneous imputation under two phase probability proportional to size sampling". Hacettepe Journal of Mathematics and Statistics 48 / 5 (Ekim 2019): 1522-1546 . AMA Sohail M , Shabbir J , Kadilar C . Homogeneous imputation under two phase probability proportional to size sampling. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1522-1546. Vancouver Sohail M , Shabbir J , Kadilar C . Homogeneous imputation under two phase probability proportional to size sampling. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1546-1522.