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Merka
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Homework Statement
X is exponentially distributed. 3 observations are made by an instrument that reports x1=5, x2=3, but x3 is too large for the instrument to measure and it reports only that x3 > 20 . (The largest value the instrument can measure is 10)
a)What is the likelihood function?
b)What is the mle of t?
Homework Equations
f(x;t)=t*exp(-t*x), E(X)=1/t ,
F(x) = P(X<=x)=1-exp(-t*x)
The Attempt at a Solution
a)(t^3)*exp(-3t*(avg of X))
b) take natural log of a), take derivative, then set equal to 0 and solve for t
Wondering if I am on the right track?
Thanks