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Results tagged with unbiased-estimator
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user 24073
Refers to an estimator of a population parameter that "hits the true value" on average. That is, a function of the observed data $\hat{\theta}$ is an unbiased estimator of a parameter $\theta$ if $E(\hat{\theta}) = \theta$. The simplest example of an unbiased estimator is the sample mean as an estimator of the population mean.
5
votes
is there any difference between taking more samples and a sample with more observations?
Suppose you take 10 samples of 50 and your friend takes one sample of 500. There is no difference in the amount of information you can extract versus your friend. In theory you are both under the same …
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1
vote
Unbiased estimator of standard deviation of a normal distribution, using gamma function
The random variable found by multiplying (n-1) times the sample variance and dividing by the population variance has a chi-squared distribution with degrees of freedom equal to (n-1). You can find the …
- 4,618
42
votes
What can we say about population mean from a sample size of 1?
If the population is known to be normal, a 95% confidence interval based on a single observation $x$ is given by $$x \pm 9.68 \left| x \right| $$
This is discussed in the article "An Effective Confid …
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