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I need some help on Gaussian distribution. i have two dataset, both are identical and independent distributed, but having mean as 2μ_1 and μ_2, same scenario for the variance. How can I add them?

thank you.

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    $\begingroup$ Hey Tonni, welcome to CrossValidated. Your question is unclear. You need to "add distributions"? What do you mean by that? $\endgroup$ – Gijs Mar 18 at 10:23
  • $\begingroup$ hi Gijs, Thank you for your response. I need to add variable X with Y where X and Y are independent and identically distributed with having mean 2μ_1 and μ_2 respectively. In addition, they have variance 2σ_1 and σ_2. How can I add them? $\endgroup$ – Tania islam Mar 18 at 11:30
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Create two distributions each with NOB values via monte carlo using the respective mean/variance and simply add them pairwise to create a NOB realizations for the sum. Then compute statistics for the summed set.

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  • $\begingroup$ Thank you, Can you please kindly give an example? $\endgroup$ – Tania islam Mar 19 at 2:50

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