Question: (a) Prove that the x2 distribution is stochastically increasing in its degrees of freedom; that is, if p > q, then for any a, P(x2p

(a) Prove that the x2 is stochastically increasing in its degrees of freedom; that is, if p > q, then for any a, P(x2p > a) ≥ P(X2q > a) with strict inequality for some

Step by Step Solution

★★★★★

3.30 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 2 p 2 q 2 d where 2 q and 2 d are independent 2 random variables ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

941-M-S-P (8687).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Refer to Exercise 3.41 for the definition of a stochastically increasing family. (a) Show that a location family is stochastically increasing in its location parameter. (b) Show that a scale family...

(a) Show that if a family of pdfs {f(x|): } has an MLR, then the corresponding family of cdfs is stochastically increasing in 6. (See the Miscellanea section.) (b) Show that the converse of part...

Prove that cos (sin 1x) = 1 x2.

COVER PAGE STAT 608 Homework 05 Summer 2017 Please TYPE your name and email address below, then convert to PDF and attach as the first page of your homework upload. NAME: EMAIL: HOMEWORK NUMBER:...

Chapter 7 Inferential Statistics: Estimation and Hypothesis Androgen (ng/ml) at Adult Time of Injection Androgen (ng/ml) 30 Male 4.79 Minutes After Injection 18.53 7.39 13.74 7.91 7.30 0.52 10 4.85...

1. Calculate the sample size needed given these factors: one-tailed t-test with two independent groups of equal size small effect size (see Piasta, S.B., & Justice, L.M., 2010) alpha =.05 beta = .2...

1 (1 point) You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over...

maller parts. If you are struggling to solve a problem, try breaking it down into smaller parts and tackling each part separately. This can help you identify where you are getting stuck and make it...

riately chosen axioms and definitionsThere is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called...

and tackling each part separately. This can help you identify where you are getting stuck and make it easier to find a solution. DO ENTIRE QUESTIONs Read the problem carefully: Before you start...

The following is the chart of accounts for Nathan Fox: The headings of Nathan Foxs synoptic journal are as follows: Required a. Journalize the following transactions listed in the synoptic journal...

You have been asked to pre-pare the financial statements for Ali Corporation, a private Canadian corporation, for the year ended 31 December 20X4. The company began operations in early 20X4. The...

26. LO.6 An exempt organization is considering conducting bingo games on Thursday nights as a way of generating additional revenue to support its exempt purpose. Before doing so, however, the...

Your Munich-based company earns 64 percent of its revenues from high-precision auto component exports to the United States. You need to expand manufacturing capacity, and the U.S. market has great...

Explain briefly the properties of unbiasedness and efficiency of estimators.

For the Bernoulli statistical model (Table 11.1): (a) Discuss whether the following functions constitute possible estimators of : (b) For those that constitute estimators, derive their sampling...

Explain what the primary aim of an estimator is, and why its optimality can only be assessed via its sampling distribution.

A stock with an actual return that lies above the security market line has: a return equivalent to the level of risk assumed. less systematic risk than the overall market more risk than that...

Complete the missing cells with the corresponding coordinates.Part A: Complete the missing cells with the corresponding coordinates. Part B: Complete the following algebraic description for the table...

Union Local School District has bonds outstanding with a coupon rate of 3.2 percent paid semiannually and 15 years to maturity. The yield to maturity on these bonds is 3.5 percent and the bonds have...