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For the setup of Exercise 6.6.2, show that the following estimator of θ is unbiased: Exercise 6.6.2 In this exercise, we set up an EM algorithm to determine the mle for the situation described in Exercise 6.6.1. Split category C1 into the two subcategories Exercise 6.6.1 Rao (page 368, 1973) considers a problem in the […]

Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also discuss this problem and we present their model. For our purposes, it can be described as a multinomial model with the  where the parameter θ satisfies 0 ≤ θ ≤ 1. In this exercise, we obtain

Implement a business strategy:Management Policy and Strategy MT460M5-5: Design a plan to implement a business strategy throughout an organization. GEL-7.02: Apply ethical reasoning to ethical issues within the field of Management Policy and Strategy.  You will find the following resource to be a helpful guide in your analysis of your chosen case study: Guide to Case Analysis. This assessment

Suppose is a random sample from a N(θ, 1) distribution. Besides these n1 observable items, suppose there are n2 missing items, which we denote by . Show that the first-step EM estimate is

Consider the situation described in Example 6.6.1. But suppose we have left censoring. That is, if are the censored items, then all we know is that each . Obtain the EM algorithm estimate of θ. Example 6.6.1

Suppose these data follow the model of Example 6.6.1: Example 6.6.1 where the superscript + denotes that the observation was censored at 1.50. Write a computer program to obtain the EM algorithm estimate of θ.

The following data are observations of the random variable , where W has a Bernoulli distribution with probability of success 0.70; Y1 has a N(100, 202) distribution; Y2 has a N(120, 252) distribution; W and Y1 are independent; and W and Y2 are independent. Data are in the file mix668.rda. Program the EM algorithm for

Show that the mean X of a random sample of size n from a distribution Let denote a random sample from a normal distribution

Let be the order statistics of a random sample of size 3 from the uniform distribution having pdf , zero Let Y1 and Y2 be two independent unbiased estimators of θ. Assume that the variance of Y1 is twice the variance of Y2. Find the constants k1 and k2 so thatis an unbiased estimator with

Describe an adverse selection problem a company is facing. What is the source of the asymmetric information? Who is the less informed party? What transactions are not being consummated as a result of the information? Could you (or do you) use signaling or screening to consummate these transactions? Offer your company some sound advice, complete