solutions2_chapter3

solutions2_chapter3 - The solution is correct if both α>...

Info iconThis preview shows pages 1–20. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 12
Background image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 14
Background image of page 15

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 16
Background image of page 17

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 18
Background image of page 19

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
3.27 Comment: A density f ( x ) will be unimodal if its derivative f 0 ( x ) has one sign change, going from + to - . It will also be unimodal (with mode at the left endpoint of the support) if the derivative is always negative. It will be unimodal (with mode at the right endpoint of the support) if the derivative is always positive. 3.27(b) The solution in the manual is only correct for α > 1. For 0 < α 1, the density is unimodal with mode at zero. 3.27(d)
Background image of page 20
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The solution is correct if both α > 1 and β > 1. If both α < 1 and β < 1, then the density is not unimodal; the density has two peaks (at x = 0 and x = 1). If α < 1 and β ≥ 1, then it is unimodal with mode at x = 0. If α ≥ 1 and β < 1, then it is unimodal with mode at x = 1. If α = β = 1, then the density is uniform; it is unimodal and any value x ∈ [0 , 1] can be taken as the mode. 1...
View Full Document

{[ snackBarMessage ]}

Page1 / 20

solutions2_chapter3 - The solution is correct if both α>...

This preview shows document pages 1 - 20. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online