Abstract
The paper provides a simplified derivation of the density of the sum of independent non-identically distributed uniform random variables via an inverse Fourier transform. We also provide examples illustrating the quality of the Normal approximation and corresponding MATHEMATICA code.
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Potuschak, H., Müller, W.G. More on the distribution of the sum of uniform random variables. Stat Papers 50, 177–183 (2009). https://doi.org/10.1007/s00362-007-0050-y
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DOI: https://doi.org/10.1007/s00362-007-0050-y