Assume that Y,Y1,Y2,...,Yn,..., are iid Uniform from [−θ,θ]. Based on observed data {Y1,Y2}= {−2,1}, find a maximum likelihood estimate of θ. . For the problem above, find the method of moment estimate for θ based on E(Y^2).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Assume that Y,Y1,Y2,...,Yn,..., are iid Uniform from [−θ,θ]. Based on observed data {Y1,Y2}= {−2,1}, find a maximum likelihood estimate of θ. .
For the problem above, find the method of moment estimate for θ based on E(Y^2). 
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