Joint distribution of (X,Y) depends on unknown parameter 0 and is given by X =1 X =0 0+1 X=-1 2-0 0+1 Y =-1 18 9. 5-0 Y =1 18 6. (a) Find all possible values of parameter 0. -/6

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Problem 1
Joint distribution of (X,Y) depends on unknown parameter 0 and is given by
X =1
X =-1
X =0
2-0
0+1
0+1
Y =-1
9
18
9
5-0
Y =1
18
(a) Find all possible values of parameter 0.
(b) Find estimator of 0 by method of moments using only observations X,..X, of random variable X. What
is the estimate if the sample is {-1,-1,0,0,0,0,1,1.1.13.
Transcribed Image Text:Problem 1 Joint distribution of (X,Y) depends on unknown parameter 0 and is given by X =1 X =-1 X =0 2-0 0+1 0+1 Y =-1 9 18 9 5-0 Y =1 18 (a) Find all possible values of parameter 0. (b) Find estimator of 0 by method of moments using only observations X,..X, of random variable X. What is the estimate if the sample is {-1,-1,0,0,0,0,1,1.1.13.
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