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Results tagged with sample
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user 67822
a sequence of objects or individuals collected from a larger (possibly infinite) population or process.
1
vote
Finding the sample space of an experiment
This concept is unnecessary in the definition of the sample space. … In the case of a finite sample space the sigma-algebra is typically $2^\Omega$, so slipping into events is natural, but unnecessary, and probably prone to mistakes. …
- 26.9k
1
vote
Sample size of sampling distribution of the sample mean
As @Antoine R pointed out the idea is that sample means provide an unbiased estimate of the population mean. … If we could sample unlimited samples of one single observation (or subject) (n = 1) we would reproduce the entire population, and its exact mean. …
- 26.9k
0
votes
sample size calculation for obtaining coin fairness
I've been thinking about the Bayesian approach, but I believe now that it may end up being more theoretical or academic than intended in this very particular instance.
I wonder if what you are after …
- 26.9k
1
vote
Accepted
Regarding sample mean as a random variable?
The sample mean.
This is another random variable - a statistic on the sample. … The sample mean is just a statistic tying this answer to the more rigorous post by @fcop. …
- 26.9k
20
votes
Accepted
What is the difference between random variable and random sample?
A random variable, $X:\Omega \rightarrow \mathbb R$, is a function from the sample space to the real line. … A group of such experiments would constitute a sample: "In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population)." …
- 26.9k