I am learning statistics from this book and in Exercise 2.27 (on page 79) I came across the term unimodal. As I understand, unimodal means having only one value of mode. But in this question, in part (b), it is asked to give an example of unimodal PDF in which mode is not unique. So how can a PDF be unimodal when its mode is not unique? Or, have I misunderstood something here? Please explain.

  • $\begingroup$ The question uses a highly nonstandard definition of unimodality that allows for, e.g. the uniform distribution to be called unimodal. $\endgroup$ Sep 27, 2018 at 18:37
  • $\begingroup$ @user10354138 So you mean if a continuous PDF has a flat peak, the PDF will be unimodal? $\endgroup$
    – Ankit Seth
    Sep 27, 2018 at 18:51
  • $\begingroup$ Only if you define it as in this question or equivalent. $\endgroup$ Sep 28, 2018 at 21:13


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