MA 582 CAS Exam III Spring 2021
计算机作业代做 Consider the median of a random sample of size n from a Dan distribution, call it Mn Compute the asymptotic distribution of
Instructions: 计算机作业代做
Work all 10 parts, worth 10% each, and justify your solutions fully as indicated in lecture for fullest credit.
The Dan family of densities is f(x, q) = 2x/ q2 for 0<x<q, where q > 0. You can assume that the Dan family is clearly not a very regular family.
- Compute the population median m here, in terms of
- Consider the median of a random sample of size n from a Dan distribution, call it Mn Compute the asymptotic distribution of Mn explicitly; briefly justify your
- Use (1) and (2) here to devise an estimator of qbased on Mn .
- Show your estimator in (3 ) here is CAN for q, with explicit
- Apply variance stabilization to (4) or show there is no
- Find/verify a sufficient statistic Y for q
- Show that Y is complete for q
- Compute E(Y) in terms of the parameter for q
- Find/verify an MVUE for q
- What is the full name of this course’s TF
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