sample mean question
Y_1,Y_2, . . . ,Y_n are independent and identically distributed Exp(Q)
Which are the distribution of the sample mean?
So, what attempts have you made?
Originally Posted by MC Squidge
the sum is distributed as by using MGFs
Next make a calc one change of variable to divide that rv by n.
I`m sorry can you do one of them as an example I don`t quite understand.
Then by using MGFs
SO, start by writing the density of W, which there are two ways, that's one reason I didn't
write my gamma density.
Ok thanks a lot for your help I think I`m beggining to understand it now. So 1,2,3 and 5 AREN'T distributions of the sample mean because their MGFs are different, but 4 is because its MGF is the same?
edit; actually it`s 5 that has the same MGF as the sample mean right? not 4
edit 2; yes i`ve definitely figured it out it`s 5 only. tell me if I`ve got it. thanks a lot for the help(Bow)