All Questions
Tagged with survey-sampling mathematical-statistics
6 questions
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Is naive mean estimator uniformly worse than HT (IPW) or Hajek estimators in survey sampling? If not, why is it less discussed in the literature?
Consider a toy example: we are interested in the average height of $n$ students $\bar{\tau}=\frac{1}{n}\sum_{i=1}^n\tau_i$, but for some reason, we can only access a random subset $S$ of it. Every ...
- 295
1
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74
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Sample a random subgraph from an undirected, unweighted graph, what's the probability of "every two nodes's distance is at least 3 in the subgraph"?
This may be a problem in sampling theory or graph theory. I have done many research but I still didn't find valid solutions.
I know a simple random sample is representative of the population. Now I ...
- 295
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144
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Confusion regarding proof that the variance estimator is unbiased for finite population
Going through Sharon L. Lohr's Sampling design book (2nd Edition), I have no issues with the content all the way until it goes into the proof in chapter 2 on SRSWOR that $E[s^2] = S^2$, where $S^2$ is ...
- 103
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143
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Estimating Population mean given a sample, and the population size
For my study, I have population size known (in order of millions), and a sample data (about 30 sample size). I can estimate population mean using 95% confidence interval by t distribution or normal ...
Ayush Srivastava
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1k
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Population vs Sampling Frame vs Sample
Could someone please explain how the sampling frame is different from population and sample?
I understand that the population is all the sampling unit that match our criteria for the study. And the ...
- 77
5
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1
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Proof of the Horvitz-Thompson result
I'm trying to find an elementary derivation (proof was the wrong word) of the Horvitz-Thompson estimator:
$$
\hat{Y}=\sum_{i\in s}\frac{y_{i}}{\pi_{i}}
$$
where $i \in s$ if and only if unit $y_{i}$ a ...
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