Q2Section I (Objective (Q1–Q80))2 of 80

Distribution Theory — modes of the Beta density

For Beta distribution of first kind Beta $(\alpha, \beta)$ , consider the following statements: I. For $\alpha > 1$ , $\beta > 1$ ; density has unique mode. II. For $\alpha + \beta = 2$ such that $\alpha = \beta = 1$ , all points in $[0, 2]$ are modes. Which of the statements given above is/are correct?

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