Question: 1.41 For the Dirichlet prior for multinomial probabilities, show the posterior expected value of is formula (1.19). Derive the expression for this Bayes estimator

1.41 For the Dirichlet prior for multinomial probabilities, show the posterior expected value of π¡ is formula (1.19). Derive the expression for this Bayes estimator as a weighted average of pi and E(π₁).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Business Analytics Data Questions!

For the Dirichlet prior for multinomial probabilities, show the posterior expected value of i is (15.3). Derive the expression for this Bayes estimator as a weighted average of p i and E( i ).

BE562: Problem Set 3 Fall 2016 Due 10/21/2016 8PM 1. Hidden Markov Models and Protein Structure (20 pts) One biological application of hidden Markov models is to determine the secondary structure...

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

1 2 3 4 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 28 29 30 31 38 40 41 44 47 48 49 50 51 62 63 64 66 67 68 69 70 71 73 74 76 77 78 79 80 81 82 85 86 87 88 89 90 91 92 93 94 95 99 100 101 104 105...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

1. In 2013, several data server companies took a dramatic decision to begin using energy surcharges to recapture rising energy costs. However, customers are critical of how the energy surcharges are...

CS 7641 CSE/ISYE 6740 Homework 3 Le Song Deadline: 11/07 Mon, 11:55pm Submit your answers as an electronic copy on T-square. No unapproved extension of deadline is allowed. Zero credit will be...

a. [10 pts] Write down the formula for Dirichlet Prior Smoothing. Then, mathematically prove the following two lemmas: o Show, in the limit where document length tends to infinity, that a unigram...

Again, Consider the document d: the sun rises in the east and sets in the west. This time, assume that we have a background word distribution (pre-computed somehow) denoted by REF which is...

10. Gibbs Sampling for Multinomial. Consider the ABO Blood Group problem from Rao (1973). The observed counts in the four blood groups, 0, A, B, and ABare as given in Table 7.3. Assuming that the...

Design a management development program for first-level supervisors in an electric utility company. What courses and experiences do they need?

FIFO method, spoilage. Refer to the information in Problem 18-30. If you want to use Excel to solve this problem, go to the Excel Lab at www.prenhall.com/horngren/cost13e and download the template...

Elton decides to invest $ 3 million in short - term fixed - income securities with an average duration of 3 years and $ 3 million in longer - term fixed - income securities with an average duration...

Which part of the SDLC is called the heart of the system development process?

In a recent General Social Survey, respondents answered the question, Do you believe in a life after death? The table shows the responses cross-tabulated with gender. Opinion about Life after Death...

Go to the GSS Web site sda.berkeley.edu/GSS, click on GSS, with No Weight as the default weight selection, type GOD for the row variable and HAPPY for the column variable, and click on Run the Table....

The mean annual salaries earned in 2005 by year-round workers with various educational degrees are given in the table: Degree Mean Salary No diploma....... $19,964 High school diploma... $29,448...

1 of 6 View Policies Show Attempt History Current Attempt in Progress On October 1, Carla Vista Corporation's stockholders' equity is as follows. Common stock, $5 par value $379,000 Paid-in capital...

3 Not yet answered Marked out of 4.00 Flag question. Each of the following situations involves a possible violation of the AICPA Code of Professional Conduct. For each situation, state the applicable...

Which of the following cancels a formula before it is completed? O Enter O Esc O Backspace O Tab Which of the following cell addresses will change when it is copied? O F2 O $F$2 O $F2 F$2 If the...