Dear All,
I have two very difficult problems which I am unable to solve and would be
happy if someone throw some light.
Problem 1. We are given, Y= a*[ ( X + T )/a], where [] denotes the Box
function. T ~ R(0,a), i.e., a Rectangular distribution. We are not told
anything about the distribution of X. ALso E(X)< inf and X and T are
independent. We have to show E(Y) = E(X).
Problem 2. If x1 and x2 are independent random variables having a Beta
distribution, B( v1, v2 ) and B( v1 + 1/2, v2 ), show that (x1.x2)^(1/2) has
the beta distribution B( 2v1, 2v2).
The problem in the second question is that it gets very difficult to do the
integration. If anybody wants to send the solution in latex I would be very
happy.
______________________
Indrajit SenGupta
Department Of Statistics
St. Xavier's College
Calcutta University
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______________________
EC- 195
Salt Lake City, Sector -1
Calcutta 700064
West Bengal
India
Phone #2337-5424
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