Question: Let \({{X}_{1}},...,{{X}_{n}}\) be a random sample from a uniform distribution, Xi ~ UNIF ( \(\theta \) – 1, \(\theta \) + 1).

1. Show that the sample mean, X bar, is an unbiased estimator of theta.
2. Show that the "midrange," \(\left( {{X}_{\left( 1 \right)}}+{{X}_{\left( n \right)}} \right)/2\) , is an unbiased estimator of \(\theta \).
   
   Price: $2.99
   

   Solution: The downloadable solution consists of 2 pages
   Deliverable: Word Document
   
   
   

   ∴ Other downloads you may be interested in ∴

   • [All Steps] Consider a random sample of size n from a Bernoulli distribution,
   • [Solved] Let X 1 ,…..Xn be a random sample from a normal distribution,
   • [All Steps] Let X ~ POI (mu), and let theta = P[X = 0] = e^-μ . Is
   • [Solution Library] Let X 1 ,…..Sn be a random sample from EXP
   • (Step-by-Step) Consider a random sample of size n from a Poisson
   • Double Angle Formula - MathCracker.com