# Talk:Rényi entropy

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## Why α=1 is special

Section doesn't feel like it's quite there yet. Maybe consider what happens when you're using a Renyi entropy as a measure of ecological diversity, and then realise that you need to split one species into two... -- Jheald 22:19, 23 January 2006 (UTC).

The first thing I saw was 1/(1-1) = inf Full Decent (talk) 16:07, 11 December 2009 (UTC)

The statement that ${\displaystyle H_{\alpha }}$ is non-decreasing in ${\displaystyle \alpha }$ seems to contradict the statement that ${\displaystyle H_{\infty }. Also, should that be a weak inequality? LachlanA 23:24, 21 November 2006 (UTC)
Mathworld says they're non-decreasing. I think that's an error; it probably depends on whether you're using positive or negative entropies. I've fixed the inequalities, an obvious example of ${\displaystyle H_{\infty }=H_{2}=2H_{\infty }}$ is ${\displaystyle n=1,p_{i}=1}$. ⇌Elektron 18:58, 29 June 2012 (UTC)