IEU Let U be a population of size N which is partitioned into 2 strata U...
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IEU Let U be a population of size N which is partitioned into 2 strata U₁ and U₂, of size N₁ and N₂, respectively. Let J₁ = N₁¹ Liet, and Ju₂ = N₂¹ Liet₂ denote the stratum means of a survey variable y in both strata. In stratum h, h = 1.2, we select a simple random sample without replacement Sh, of size n, h = 1,2. The sample selection in Stratum 1 is independent from the sample selection in Stratum 2. (a) Suppose that we want to estimate the difference D = JU1-2. Propose an unbiased estimator of D (call it D) and determine its variance. 1 (b) Suppose that we want to estimate the product P = JUIX 2. Propose an unbiased estimator of P (call it P) and determine its variance. IEU Let U be a population of size N which is partitioned into 2 strata U₁ and U₂, of size N₁ and N₂, respectively. Let J₁ = N₁¹ Liet, and Ju₂ = N₂¹ Liet₂ denote the stratum means of a survey variable y in both strata. In stratum h, h = 1.2, we select a simple random sample without replacement Sh, of size n, h = 1,2. The sample selection in Stratum 1 is independent from the sample selection in Stratum 2. (a) Suppose that we want to estimate the difference D = JU1-2. Propose an unbiased estimator of D (call it D) and determine its variance. 1 (b) Suppose that we want to estimate the product P = JUIX 2. Propose an unbiased estimator of P (call it P) and determine its variance.
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Related Book For
Applying International Financial Reporting Standards
ISBN: 978-0730302124
3rd edition
Authors: Keith Alfredson, Ken Leo, Ruth Picker, Paul Pacter, Jennie Radford Victoria Wise
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