Finish the derivation of the LRT found in Example 6.5.3. Simplify as much as possible. Example 6.5.3

Specify the logical (relational) schema for the ERD shown in Figure 5.61 in Chapter 5 for the Cougar Medical Associates as per the foreign key design: a. using directed arcs b. in terms of inclusion dependencies Figure 5.61

Let X have the pdf (a) Show that this family  is not complete. (b) Let  Show that Y is a complete and sufficient statistic for _.

Given the Universal Relation Schema URS (A, B, C, D, F, G) and the set of FDs prevailing over URS F {fd1, fd2, fd3, fd4, fd5}, where: a. Derive a canonical cover of F. b. Derive all the candidate keys of URS.

In Example 8.3.2, the power function for the one-sample t-test is discussed. (b) Overlay the power curve in (a) with that for _ = 0.01. Comment. (c) Overlay the power curve in (a) with that for n = 35. Comment. (d) Determine the smallest value of n so the power exceeds 0.80 to detect _ = 53. Example 8.3.2

Verify Equations (8.3.3) of Example 8.3.1 of this section. Equation 8.3.3 Example 8.3.1

Suppose are iid  Show that Xi follows a location and scale family as given in Example 6.4.4. Obtain the entries of the information matrix as given in this example and show that they agree with the information matrix determined in Example 6.4.3. Example 6.4.4

How can the design requirement in Exercise 27 be satisfied if the “Supervisee” part of the relationship has the structural constraints (0, 1)? Again, show a design using both directed arcs and in terms of inclusion dependencies. Exercise 27 Consider the following excerpt from an ERD: Specify the logical (relational) schema (choosing a design without a need to use values to indicate partial participation) in […]

1. By using expressions (6.2.21) and (6.2.22), obtain the result for the one-step estimate discussed at the end of this section. 2. Let S2 be the sample variance of a random sample of size  from where _ is known. We know E(S2) = _.

Obtain the asymptotic distribution of the MVUE in Example 7.6.1 for the case Example 7.6.1 Let  be the order statistics of a random sample of size 3 from the distribution with pdf