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Nov 25, 2023 at 16:25 answer added picky_porpoise timeline score: 1
Sep 27, 2022 at 18:53 comment added Richard Hardy Somewhat related: "What problem or game are variance and standard deviation optimal solutions for?".
Aug 19, 2022 at 4:55 comment added Cagdas Ozgenc ARMA-GARCH or a similar mean-variance combo (estimating mean and variance simultaneously) estimator works much better in practice and more efficient. Almost all of those models are estimated by maximum likelihood (which is also an M-estimator by the way). Maybe you are trying to ask something else?
Aug 19, 2022 at 4:48 comment added Cagdas Ozgenc In my answer to my own question I had to assume a normal distribution and a mean (or a conditional mean) of zero. This is in contrast to say squared loss which works for any distribution with a defined mean. More interestingly squared loss is not the only function that yields the mean. There are more efficient ones depending on the underlying distribution. Similarly Linex function is actually a terrible estimator for variance. stats.stackexchange.com/questions/442365/….
Aug 10, 2022 at 14:35 answer added Xiubo Zhang timeline score: 2
Aug 10, 2022 at 14:21 history asked Dave CC BY-SA 4.0