scholarly journals EFFICIENCY EVALUATION OF RATIO ESTIMATORS IN SIMPLE RANDOM SAMPLING

Author(s):  
Tanu ◽  
Manoj Kumar ◽  
P K Muhammed Jaslam

In literature, several ratio type estimators of population mean were proposed by statisticians but none of them made pair wise comparison of these estimators. In this paper an attempt has been made for pair wise efficiency comparison of the same and find out the different conditions on which one estimator performed better than the other. Depending on the structure of data used, the efficiency comparison of these estimators is varied in certain circumstances. In this study we have revealed the efficiency conditions of the existing ratio estimators, through pair wise comparisons and examine the relative performance of ratio estimators in terms of efficiency and unbiasedness empirically.  

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Jingli Lu

To improve the efficiency of an estimator with two auxiliary variables, we propose a new estimator of a finite population mean under simple random sampling. The bias and mean square error expressions of the proposed estimator have been obtained. In a comparison study, we found that the new estimator was consistently better than those of Abu-Dayyeh et al., Kadilar and Cingi, and Malik and Singh, as well as the regression estimator using two auxiliary variables, and that the minimum MSE values of the previous three above reported estimators were equal. We used four numerical examples in agricultural, biomedical, and power engineering to support these theoretical results, thus enriching the theory of survey samples by the development of new estimators with two auxiliary variables.


Author(s):  
S. K. Yadav ◽  
Shanya Baghel ◽  
Sugandha Saxena ◽  
Avinash Kumar Singh

The idea of the present paper is the use of the known information on study variable for enhanced estimation of average paddy production of Pira Nagar village at Barabanki District in India under the Simple Random Sampling Scheme. This known information is utilzed in the form of median of primary variable as it is readily available and does not require every unit of the population to be inquired. The Bias and MSE of the suggested estimator are derived up to approximation of degree one.The minimum value of the MSE of suggested estimator is also obtained by optimizing the characterizing scalar. The MSE has also been compared with the considered competing estimators both theoretically and empirically. The theoretical efficiency conditions of the suggested estimator to be better than the considered estimators are verified using natural population on primary data collected from Pira Nagar Village at Barabanki District of Uttar Pradesh state in India.


2017 ◽  
Vol 4 (1) ◽  
pp. 93
Author(s):  
Johanna Maria Rotinsulu ◽  
Sosilawaty Sosilawaty ◽  
Yanarita Yanarita

South Barito is an area of rattan and rattan production center of the province of Central Kalimantan, on the other hand is one area that has natural conditions very conducive to the development of rattan. This study reveals how patterns in addition to planting and processing of rattan traditionally also analyze the socio-economic level of society. Research conducted in South Barito regency, District Karau in Two Villages is Bangkuang and New Salat. The village of the second sample is determined gardens and population are farmers who cultivate cane with sampling methods by simple random sampling, because the peasant population is homogeneous, the number of samples in each village 34 respondents or 68 farmers overall. The result showed that in general the rattan garden where the studies were not well-maintained, where the average of respondents (45%) said that maintenance is only performed at the time of going to the harvesting or one for rattan planting. Besides the low price of rattan is led to a reduction of land management / rattan gardens intensively. and production of rattan average yield of 2.6 tons ha-1 or 245.5 clumps of cane ha-1. For the villagers of business administration studies despite conditions that are considered less favorable, but they still look forward to the Government's policy to remain aligned to the Farmers Rattan. In addition, because cane is inherited and used as a hallmark of South Barito society in general.Barito Selatan merupakan daerah penghasil rotan dan sentra produksi rotan provinsi Kalimantan Tengah, selain itu merupakan salah satu wilayah yang memiliki kondisi alam yang sangat mendukung bagi perkembangan rotan. Penelitian ini selain untuk mengungkapkan bagaimana pola tanam dan pengolahan rotan secara tradisional juga  menganalisis tingkat sosial ekonomi masyarakat. Penelitian dilaksanakan di Kabupaten Barito Selatan, Kecamatan Karau di Dua Desa yaitu Bangkuang dan Salat Baru. Dari kedua Desa tersebut ditentukan kebun sampel dan populasi masyarakat  yaitu  petani yang mengusahakan rotan dengan metode pengambilan sampel secara simple random sampling, karena populasi petani bersifat homogen, jumlah sampel di masing-masing desa 34 responden atau keseluruhan 68 petani. Dari hasil penelitian diperoleh bahwa pada umumnya kebun rotan di tempat penelitian tersebut tidak terpelihara dengan baik, dimana rata-rata responden (45%) menyebutkan bahwa pemeliharaan hanya dilakukan pada saat akan dilakukan pemanenan atau satu kali selama rotan itu di tanam. Selain itu rendahnya  harga  rotan  sangat  berdampak pada berkurangnya pengelolaan lahan/kebun rotan secara intensif. dan hasil produksi rotan rata-rata diperoleh 2,6 ton ha-1 atau 245,5 rumpun rotan ha-1. Bagi masyarakat Desa studi walaupun kondisi tataniaga yang dianggap kurang menguntungkan, namun mereka masih berharap kebijakan Pemerintah tetap berpihak kepada Petani Rotan. Di samping itu  karena pada umumnya rotan merupakan warisan dan digunakan sebagai ciri khas masyarakat Barito Selatan.


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