Find a minimal sufficient statistic

Reference no: EM131851855

Let X₁, ..., X_n be i.i.d. random variables having the beta distribution B(β, β) with an unknown β > 0. Find a minimal sufficient statistic for β.

Reference no: EM131851855

Questions Cloud

Why microsoft need to preserve competitiveness in industry : An interesting example of strategic behavior comes from a 1997 article about Microsoft's investment in Apple (New Straits Times, 1997).

Show that the vector of order statistics : Show that the vector of order statistics is minimal sufficient for (a, ?).

Explain kerchoffs six principles and make a case : Explain Kerchoff's six principles and make a case for both following them and not following them. Please use sources to support your positions.

What are the constraints facing the decision makers : What are the constraints facing the decision makers? Does the approach taken in the paper(s) seem reasonable to you? Why or why not?

Find a minimal sufficient statistic : Let X1, ..., Xn be i.i.d. random variables having the beta distribution B(ß, ß) with an unknown ß > 0. Find a minimal sufficient statistic for ß.

Annuity future value : Assume you deposit $5,200 at the end of each year into an account paying 10 percent interest. How much money will you have in the account in 17 years?

Find a statistic that is minimal sufficient : (a) Find a statistic that is minimal sufficient for ? and derive its distribution. (b) Show that the minimal sufficient statistic in (a) is also complete.

Find a statistic that is minimal sufficient for ? : Let X1, ..., Xn be i.i.d. random variables having the Lebesgue p.d.f. ?-1e-(x-?)/?I(?,8)(x), where ? > 0 is an unknown parameter.

The portfolio weight on the moose position : You have a portfolio of two? stocks: one long position and one short position. The portfolio weight on the Moose position is___.?

User Account

All Pages