Summary: Math 502. 4­th Homework. Due Monday, March 17, 2008.
Name: .......................................................................................................................................................................
1. Let {Xn}
n=1 be a sequence of r.v.'s with mean one and variance four. Show that

n
n
j=1 Xj + 1
n - 3 + n
j=1 Xj
-
n + 1
2n - 5
d
N(0, 2
),
for some 2
. Determine 2
.
2. Let X1, . . . , Xn denote a random sample from the density

Source: Arcones, Miguel A. - Department of Mathematical Sciences, State University of New York at Binghamton

Collections: Mathematics