# Linked Questions

34 questions linked to/from Central limit theorem for sample medians
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### The Central Limit Theorem in Quantile Estimation [duplicate]

I don't have a very strong background in statistics so I have a few conceptual questions and there is a strong possibility I'm missing something obvious. Suppose I'm interested in estimating the 99th ...
0answers
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### Is there a statement for the median like the central limit theorem for the mean? [duplicate]

According to the Central Limit Theorem (CLT) in statistics, the distribution of the average of randomly sampled n observations tends to follow normal distribution as the sampling size n becomes larger,...
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### Showing p-th sample quantile is asymptotically normal [duplicate]

I'm working through van der Vaart to improve my knowledge on asymptotic statistics, and I'm attempting the following problem. Let $F_n^{-1}(p)$ be the p-th sample quantile of a sample from a ...
0answers
13 views

### How to find approximation of variance of $i^{th}$ order statistic [duplicate]

Given PDF and CDF of a distribution, how does one find an approximation of $(\operatorname{Var}(X_i))$ using a normal approximation of $(X_i)$? According to "Mathematica Laboratories for ...
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### Meta-analysis: Estimating the population median

The Borenstein (2008) textbook I'm using doesn't make any references to estimating a population median. Searching the internet I find lots of references to using the median and range to estimate the ...
1answer
679 views

### distribution of 'median difference' in permutation test

Recently, I want to apply the permutation test to find out if the difference of median for sample1 and sample2 has difference. Sample1 variance is 3.225248, and Sample2 variance is 0.1451835. In my ...

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