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Terminology; "long tail" v. long-tail distribution v. long-tailed distribution
Are the terms "long tail", "long-tail distribution" and "long-tailed distribution" used interchangeably? Or do they mean different things? If the latter, is this explained somewhere? I didn't find it just skimming.
Without a careful study, it looks to me like the terms "long-tail distribution" and long-tailed distribution" are being used interchangeably. If so, I suggest you settle on one term and convert the other to the chosen one. A Google search found roughly 3 million matches for "long-tail distribution" and 1.6 million for "long-tailed distribution". That criterion would suggest replacing "long-tailed distribution" with "long-tail distribution" everywhere. DavidMCEddy (talk) 07:17, 24 September 2015 (UTC)
This from the introduction:
Intuitively, a distribution is (right) long-tailed if, for any fixed amount, when a quantity exceeds a high level, it almost certainly exceeds it by at least that amount: big quantities are probably even bigger.
That reads like nested nonsense.
- Nothing should be claimed as being intuitive if it is not obvious, and the sentence is anything but that.
- The word "right" in parenthesis presumably refers not to something that is correct but to a righ-handed as opposed to a left handed tail. But if so then this should be stated and shown as different to whatever "intuitive" knowledge may be claimed for a left-handed tail.
- I presume that a "fixed amount" meants a "given amount" but as you understand I am bemused by what is being said
- The graph needs a better explanation and labeled axis for the lay audience a wiki article is intended to address. It is not a power graph in the sense of 'power dressing' or of 'control', but I assume of arithmetic powers and geometric relationships.
From this point on the sentence implodes: "..when a quantity exceeds a high level" (??!!) it almost certainly exceeds it by at least that amount (??!!!)..." Then the finale: big quantities are probably even bigger.
BIG QUANTITIES ARE PROBABLY EVEN BIGGER?!?!?
Even bigger than what? And just how is the word "probably" in that helping anything?
I don't intend to be harsh, only to describe the issues I find (in the opening of the intro). Perhaps to others it is somehow clear. If you are one of these people then please would you edit it accordingly.
I have added a cleanup tag. It's not really that a true 'expert' is needed, just someone who understands this enough to be able to precis it comprehensibly in a wiki introduction.