Assume that observations X,, X,. X, are id (Independent and identically distributed) distributed with a density function, fx(x) = 2· exp(-1x), x 2 0 1. Find a maximum likelihood estimator for the parameter , 2. Check biasedness of ! 3. Check consistency of a 4. Find a method-of-moments estimator for ,

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Assume that observations
X,. X,.. X,
are id (Independent and identically distributed)
distributed with a density function,
fx(x) = 2· exp(-1x), x 2 0
1. Find a maximum likelihood estimator for the parameter ^,
2. Check biasedness of !
3. Check consistency of a
4. Find a method-of-moments estimator for
Transcribed Image Text:Assume that observations X,. X,.. X, are id (Independent and identically distributed) distributed with a density function, fx(x) = 2· exp(-1x), x 2 0 1. Find a maximum likelihood estimator for the parameter ^, 2. Check biasedness of ! 3. Check consistency of a 4. Find a method-of-moments estimator for
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