Let x have a uniform density

p(x|) U(0, ) =

(

1/, 0 x

0, otherwise.

(a) Suppose that n samples D = {x1, . . . xn} are drawn independently according to p(x|).

Show that the MLE for is max[D] - that is, the value of the maximum element in D.

(b) Suppose that n = 5 points are drawn from the distribution and the maximum value of

which happens to be 0.6. Plot the likelihood p(D|) in the range 0 1. Explain

in words why you do not need to know the values of the other 4 points.

p(x|) U(0, ) =

(

1/, 0 x

0, otherwise.

(a) Suppose that n samples D = {x1, . . . xn} are drawn independently according to p(x|).

Show that the MLE for is max[D] - that is, the value of the maximum element in D.

(b) Suppose that n = 5 points are drawn from the distribution and the maximum value of

which happens to be 0.6. Plot the likelihood p(D|) in the range 0 1. Explain

in words why you do not need to know the values of the other 4 points.

### Recently Asked Questions

- What address does the HCS12 use to find the address of an interrupt service routine for a timer overflow

- I have no clue lol. If the hydrogen ion (H+) [or the hydronium ion (H3O+)] and the hydroxide ion (OH-) react together what is the product of the reaction?

- Please refer to the attachment to answer this question. This question was created from 398e0e0cd51ddcfc8c28181417aea4c6_f822b88828eeda7b9118d144c41959f8.docx.