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May 24, 2023 at 19:19 answer added Ute timeline score: 0
May 22, 2023 at 17:22 comment added Ute If I understand you right, you simulate: $m$ times [a sample of $n$ independent random variables] and put each of these $m$ samples as a row of a matrix. After that you look at the columns. Regardless of the distribution of your random variables (norma, chi-Square...) you will always find that the columns consist each of $m$ independent random variables from the distribution that you chose. This is because all single entries in the matrix are independent simulations from the same distribution :-)
May 22, 2023 at 10:15 comment added Tran Khanh @whuber as I mentioned the content has been updated so the question isn't quite the same as before, my use of terminology wasn't quite correct before.
May 19, 2023 at 14:24 comment added Michael Hardy Instead of "$n$ samples", I'd rather see "a sample consisting of $n$ observations". That way, talk of "sample size" can make sense, and such language as "a two-sample t-test" can make sense.
May 19, 2023 at 13:17 history edited Michael Hardy CC BY-SA 4.0
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May 18, 2023 at 13:01 comment added whuber I'm sorry, but I cannot see any content to the question. You state you have $mn$ Normal random variables and you ask whether a specific subset of them are Normal. What is there to say??
May 18, 2023 at 3:20 history edited Tran Khanh CC BY-SA 4.0
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May 18, 2023 at 3:04 history edited Tran Khanh CC BY-SA 4.0
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May 18, 2023 at 2:51 comment added Tran Khanh @whuber the question has been updated, two the current answers seem plausible to me at the moment, but I'm not sure that I understand the problem correctly.
May 18, 2023 at 2:50 comment added Tran Khanh @utobi I updated the question to add more context.
May 18, 2023 at 2:45 history edited Tran Khanh CC BY-SA 4.0
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May 18, 2023 at 2:36 vote accept Tran Khanh
May 18, 2023 at 2:46
May 17, 2023 at 15:58 answer added Michael Hardy timeline score: 0
May 17, 2023 at 15:55 comment added whuber Columns $2$ through $n$ are irrelevant in this question, so why mention them? Maybe this comes down to what precisely you mean by "normally distributed with mean $\mu$ and standard deviation $\sigma.$" Could you explain?
May 17, 2023 at 15:49 history edited Michael Hardy CC BY-SA 4.0
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May 17, 2023 at 10:55 comment added utobi what do you mean by what about other distributions say chi-Square, exponential, etc.? Which property are you asking about them? Please try to be specific.
May 17, 2023 at 10:54 history edited utobi CC BY-SA 4.0
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May 17, 2023 at 10:51 answer added utobi timeline score: 1
May 17, 2023 at 10:30 history edited Tran Khanh CC BY-SA 4.0
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S May 17, 2023 at 10:25 review First questions
May 17, 2023 at 10:44
S May 17, 2023 at 10:25 history asked Tran Khanh CC BY-SA 4.0