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Inference in Normal Distribution Based on the Weighted Sampling
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Mohammad Reza Alavi *   , Rahim Chinipardaz |
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Abstract: (23654 Views) |
| The classical analysis is based on random samples. However, in many situations the observations are recorded according to a nonnegative function of observations. In this case the mechanism of sampling is called weighted sampling. The usual statistical methods based on a weighted sample may be not valid and have to be adjusted. In this paper adjusted methods under some particular weight functions for normal distribution are studied and a new distribution called double normal distribution, is introduced as a weighted normal distribution. |
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| Keywords: Weighted Sampling, Independent Weight Function, Dependent Weight Function, Weighted Random Variable, Weighted Normal Distribution, Double Normal Distribution. |
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Full-Text [PDF 1007 kb]
(4372 Downloads)
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Type of Study: Research |
Subject:
Statistical Inference
Received: 2011/07/4 | Accepted: 2013/08/13 | Published: 2020/02/18
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