Talk:Location–scale family

Mean Variance

The lede is confusing because it says "can" in "(...)and decision-making can be framed in terms of (...)". I would like to change it into "necessary but not sufficient". Many distributions are in the location-scale family that do not have moments. This is very sloppy. Waiting to see comments on a better lede. Limit-theorem (talk) 01:40, 13 August 2015 (UTC)

The Meyer paper which seems to be the basis of the sentence only says that the location-scale family condition is "sufficient to insure consistency between expected utility and moment based ranking" (section IV p 428 [[1]] ). But there are plenty of other conditions that are necessary for expected utility and moment based ranking to be applicable, namely finiteness of moments. Limit-theorem (talk) 01:51, 13 August 2015 (UTC)

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Question on Notation

Is it correct to use "=" as meaning 'equally distributed'. Isn't the convention to use a tilde ("~")?

Yes provided it has a D on top. It then denotes "equality in distribution". Limit-theorem (talk) 11:56, 11 August 2020 (UTC)

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