We can easily find in many online sources, including here in Cross Validated, the claim that outliers shouldn't be removed from data (at least without a good reason). In the thread below, for example, this is the general advice given by most users:

Is it OK to remove outliers from data?

I'd like to quote this claim from a trustworthy source, but I couldn't find such statement in any introductory statistics books.

Is this belief just general wisdom of the crowd or there is something to support it?

EDIT (Justification that this question is not duplicated)

Please, remark that this question is asking for academic references (e.g. the name of a book or a paper) for the claim (posts from CV are no enough for my current needs). Something that could be quoted in a business report or in an academic paper. The question is not concerned with the problem of removing outliers being a good practice or not, as previous questions here in CV.

Possible Answer

The user davefournier suggested in the comments the book:

Robust Statistics, 2nd Edition Peter J. Huber, Elvezio M. Ronchetti ISBN: 978-0-470-12990-6

I just glimpsed at it and it seems promising. I still need to read it a little more to be sure if directly answers the question.

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    $\begingroup$ This differs only from other general threads about outliers by a meta flavour, i.e. it seems to be asking why anyone should trust the general advice given here. It's hard to answer that without tautology or opening a debate about standards here. The point about CV is not that there are absolute guarantees about trustworthiness (there aren't) but that mechanisms of voting, editing and commentary should not leave poor answers in place and unchallenged. $\endgroup$
    – Nick Cox
    Dec 14 '16 at 15:28
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    $\begingroup$ If you want support for the idea that robust estimators are preferable to removing outliers see the beginning of chapter 1 in this book. Robust Statistics, 2nd Edition Peter J. Huber, Elvezio M. Ronchetti ISBN: 978-0-470-12990-6 $\endgroup$ Dec 14 '16 at 15:50
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    $\begingroup$ Because the related thread (a) provides well-reasoned argument, (b) quotes facts, and (c) supplies references, it is difficult to justify its conclusions as "wisdom of the crowd" and even harder to justify keeping the present thread open. $\endgroup$
    – whuber
    Dec 14 '16 at 16:11
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    $\begingroup$ I'll give the fairly obvious answer: if you want to tamper with your data, it's your responsibility to explain why the tampering is valid, not the other party's responsibility to explain why it's invalid. $\endgroup$
    – user1566
    Dec 14 '16 at 16:12
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    $\begingroup$ @whuber, I see a comment w/ Box et al, but the comment states that they claim outliers have led to new patents. That isn't (quite) what the OP is asking for. Rereading the thread & comments, I continue to not find a citation to a peer reviewed scientific publication that states outliers should not be removed. $\endgroup$ Dec 14 '16 at 18:08

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