Suppose that given u, Y is Poisson with E(Y | u) = u , where may
Question:
Suppose that given u, Y is Poisson with E(Y | u) = u µ, where µ may depend on predictors. Suppose that u is a positive random variable with E(u) = 1 and var(u) = τ. Show that E(Y) = µ and var(Y) = µ + τ µ2. Explain how negative binomial GLMs and Poisson GLMMs with log link can follow as special cases.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
Suppose that given x Y is Poisson with EY u u Suppose that the conditional distribution of Y given u ...View the full answer
Answered By
Aricayos Apple
I'm a highly professional tutor and academic freelancer , with over 5 years of experience. I became one of best tutors in Chegg tutoring community and Course Hero having high helpful rate. I love helping students understand Business courses related, as it is my passion to tutor and and help students understand these amazing subjects as attached in my skills. I am also an expert on the subject of history related subjects since at one point had handled these subjects. I also have a bachelor's degree in bachelors of science in Business Administration from City of Malabon University in Philippines. I am currently working on getting a master's degree in the field Business Administration from City of Malabon University. Meanwhile, you can learn how to solve complex problems consistently with me.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Suppose that the number of customers arriving each hour at the only checkout counter in a local pharmacy is approximately Poisson distributed with an expected arrival rate of 20 customers per hour....
-
Suppose that Xi, i = 1, 2, 3 are independent Poisson random variables with respective means i, i = 1, 2, 3. Let X = X1 + X2 and Y = X2 + X3. The random vector X, Y is said to have a bivariate Poisson...
-
Suppose that the number of events occurring in a given time period is a Poisson random variable with parameter . If each event is classified as a type i event with probability pi, i = 1, . . . , n, ...
-
Read the Comp & Ben Case Study and answer the following question: To the degree job growth (and increased car sales that come from m costs) is based on two tier-wage structures, how sustainable...
-
Goodwill On February 15, 2010, Pendragon Corporation acquired all of the stock of Sherwood, Inc. for $300 million in cash. Sherwood's stockholders' equity accounts at the date of acquisition were as...
-
Which quality control tool is sometimes referred to as a fishbone diagram because it places a problem statement at the head of the fishbone and uses each big bone in the fishs skeleton as a category...
-
What are the ways an organization sustains its culture.
-
1. What are good estimates of order cost and inventory holding cost? 2. What is the EOQ and reorder point for Strike Disinfectant given your answer to Question 1? 3. Compute the total order and...
-
imagine a digital communication campaign, to announce a company that has received an award for the most innovative eco - responsible companies.how are you going to do it ? what steps will you follow?...
-
Bob Burley and his brother Buford ran the best restaurant in Dallas, Texas. Many out-of-towners would visit Dallas and go to Burleys Biscuits, Beef, and Veggies for a good wholesome meal. One thing...
-
Altham (1978) introduced the discrete distribution where c(?, ?) is a normalizing constant. Show that this is in the exponential family. Show that the binomial occurs when ? = 0. [Altham noted that...
-
The negative binomial distribution is unimodal with a mode at the integer part of (k 1)/k. Show that the mode is 0 when 1, and that when > 1 the mode is still 0 if k < /( 1). (This gives greater...
-
List the products of each amine reaction. a. N(CHCH3)3 + HNO3 H I b. CH3 NCH-CH3 + HCN L CH3 H T c. CH3-N CH CH3 + | CH3 CH3 CH3 CH-CH-C-OH -
-
Draw a schematic diagram of a pulsed ruby laser and, hence, describe its application in retinal treatment.
-
Ship taking on water: A ship collides with an iceberg at t = 0. One of the compartments of the ship, which is initially dry, starts to fill with water at a rate at, measured in liters per second,...
-
You are given the following ODE: y+3y+2y+ y = 3x 1. Derive the frequency response function G(jw) of this ODE. 2. Calculate the magnitude of G(jw). 3. Calculate the phase of G(jw). 4. Calculate the...
-
Twenty years ago, Legrand Enterprises common stock was earning $ 4 . 0 0 per share. Its earnings this year were $ 1 6 . 0 0 per share. Determine the growth rate for Legrand in earnings per share (...
-
What's the present value of a $ 1 , 0 0 0 annuity payment over four years if interest rates are 8 percent? Note: Do not round intermediate calculations and round your final answer to 2 decimal places.
-
The financial statements of Jean Coutu are presented in Appendix B following the financial statements for Shoppers Drug Mart in Appendix A. Instructions (a) Determine the following values for each...
-
XYZ Inc. a calendar year, accrual basis corporation, had the following items during 2021: Gross revenue from operations Cost of goods sold $420,000 ($180,000) $9,000 LT capital gain .LT capital...
-
Refer to a contingency table that cross-classifies subjects in tworows and two columns (labeled Success and Failure) and for which the odds ratio equals 4. True or False: Subjects in row 1 are 4...
-
Even when the sample conditional distributions in a contingency table are only slightly different, when the sample size is very large it is possible to have a large X 2 statistic and a very small...
-
For testing independence in a contingency table of size r à c, the degrees of freedom (df) for the chi-squared distribution equal df = (r - 1) à (c - 1). They have the following...
-
speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?
-
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.
-
Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour? (There are 5,280 feet in one mile. What is Sam's rate as stated?
Study smarter with the SolutionInn App