# Questions tagged [sample]

a sequence of objects or individuals collected from a larger (possibly infinite) population or process.

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### What are the individual elements within the outcome of a sample space called?

What is each entry in an outcome of a sample space called? For example, say our outcome is ${HHT}$, describing two heads and one tail. What is each head ($H$) and tail ($T$) member of the outcome ...
63 views

### Closed form formula for distance of multinomial sample from underlying distribution

Suppose that I have a probability vector $p$ e.g. of size 10, and that I draw a multinomial sample of size $n$ from $p$. Does there exist a closed form formula to compute the expected total variation ...
1 vote
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### How can we use average total time if a job to determine time of components?

Imagine a scenario where there are tasks (called jobs) made of many smaller tasks (called assemblies). Each assembly has an average time to completion, and the job time to completion is a sum of the ...
18 views

### How to test that a sample of a discrete random variable is representative?

I am given a discrete random variable and several large samples from it. The methods how the samples are obtained are not truly random samples but are reasonable approximations to a random sample. An ...
91 views

### Do I need a hypothesis test to compare two populations of complete annual count data?

I would like to compare the total number of public M&A transactions observed in two separate years (e.g. 2021 vs 2022). Given the data set for each year is complete (i.e. a population), can I ...
306 views

### Question about Analogy to Statistics

If anyone could help me verify if my analogy is correct, thanks so much! Here is an analogy: A population is like a pot of soup. We stir the pot of soup with the ladle because naturally the contents ...
1 vote
43 views

### Bayesian inference on model parameters from summary statistics alone

Consider quantities $y_1,y_2,\dots,y_p$, for the $j$th of which we have $n_j$ measurements $y_{1j},y_{2j},\dots,y_{n_jj}$. Unfortunately, I do not have access to the raw data $y_{ij}$ -- only to the ...
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### Doubt in empirical distribution, sample and random variable

I have a basic doubt in sample and random variables. I have read related posts on this site but still some doubt is still left. Suppose we have a population and we are drawing some entries from it ...
95 views

### Why sample size calculation for ratio-based metric doesn't consider the standard deviation of the ratio

When calculating sample size for ratio-based metrics like CTR or Purchase Rate, it appears that one doesn't need to consider the standard deviation of the ratio metrics. I tried calculators like https:...
18 views

### Association preserved under sampling

Suppose I have two columns of data as follows: X Y 0 1 1 0 . . . . . . 1 1 I am interested in the entries where X and Y are 1, suppose in this case 50% of the records have 1 , now let's say, I ...
1 vote
32 views

### A question about the variance of sample variance? [duplicate]

if I have negative kurtosis in my distribution (meaning negative exceeded kurtosis) - which indicates that the tails are lighter than normal distribution tails. Does it also mean that I have more ...
196 views

### Survey with two simple random samples without repetition

I have an particular exercise of sampling survey, or sampling theory, which I report below. One is interested in knowing the price per gram of gold produced by 100 companies. A monthly survey of a ...