Show that each of the following families of distributions is a two-parameter exponential family as defined in
Question:
a. The family of all normal distributions for which both the mean and the variance are unknown
b. The family of all gamma distributions for which both α and β are unknown
c. The family of all beta distributions for which both α and β are unknown
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (15 reviews)
In each part of this exercise we shall first present the pdf f a...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
Question Posted:
Students also viewed these Statistics questions
-
Show that each of the following families of distributions is an exponential family, as defined in Exercise 23: a. The family of Bernoulli distributions with an unknown value of the parameter p b. The...
-
Show that each of the following families is an exponential family. (a) Normal family with either parameter or known (b) Gamma family with either parameter or known or both unknown (c) Beta family...
-
For each family in Exercise 3.28, describe the natural parameter space. In Exercise 3.28 Show that each of the following families is an exponential family. (a) Normal family with either parameter or...
-
Assignment: Based on your reading and analysis of the case study above, address the following items in a detailed essay response of approximately 600 words. Each number below should be addressed...
-
A number of terms are listed below: REQUIRED Select the terms from the above list to complete the following sentences. There are several methods of quantitative analysis that a management team can...
-
During a taxation period, Darcy Wholesalers purchased merchandise for $226000. Merchandise sales during this period totaled $413000 and the cost of the merchandise sold was 260000. Ignoring all other...
-
List several potential difficulties with ratio analysis. AppendixLO1
-
China Express owns a number of stores that sell fast food. As part of its compensation packages, China Express provides employees with bonuses based on customer satisfaction surveys. Recent analysis...
-
On February 3, Smart Company sold merchandise in the amount of $4,100 to Kennedy Company, with credit terms of 2/10, n/30. The cost of the items sold is $2,830. Smart uses the perpetual inventory...
-
Allie has bought a new apple orchard. The orchard has a single file of trees, numbered from 1 to N. Each tree has a certail number of ripe apples. Allie has a rule she wants to follow. She wants to...
-
Consider a distribution for which the p.d.f. or the p.f. is f(x|), where the parameter is a k dimensional vector belonging to some parameter space . It is said that the family of distributions...
-
Suppose that X1, . . . , Xn form a random sample from an exponential distribution for which the value of the parameter is unknown ( > 0). Is the M.L.E. of a minimal sufficient statistic?
-
Graph the function. Give the domain and range. (x) = | log 1/2 (x - 2)|
-
Solve (c) 8 WI n=1 5 cos n N5
-
- Pierce Company reported net income of $160,000 with income tax expense of $19,000 for 2020. Depreciation recorded on buildings and equipment amounted to $80,000 for the year. Balances of the...
-
ABC Company had the following results as of 12/31/2020: ABC's hurdle rate is 10% CONTROLLABLE REVENUE CONTROLLABLE COST CONTROLLABLE ASSETS CONTROLLABLE INCOME 21. What is the division's margin? A....
-
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 10 m from the takeoff point. If the kangaroo leaves the ground at a 20 angle, what are its (a) takeoff speed and...
-
Since 1900, many new theories in physics have changed the way that physicists view the world. Create a presentation that will explain to middle school students why Quantum Mechanics is important, how...
-
Maureen found an old barn that would be a perfect location for her restaurant and catering business. She opened a Kickstarter account to begin to raise funds for the business. Maureen is taking...
-
Linda Lopez opened a beauty studio, Lindas Salon, on January 2, 2011. The salon also sells beauty supplies. In January 2012, Lopez realized she had never filed any tax reports for her business and...
-
Describe how regression analysis is used to estimate costs.
-
What are two characteristics of the best point estimator for a population parameter?
-
Refer to Exercise 8.3. What effect does a larger population variance have on the margin of error? a. n = 30, 2 = .2 b. n = 30, 2 = .9 c. n = 30, 2 = 1.5
-
Refer to Exercise 8.5. What effect does an increased sample size have on the margin of error? a. n = 50, s 2 = 4 b. n = 500, s 2 = 4 c. n = 5000, s 2 = 4
-
The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes...
-
?? A local college is deciding whether to conduct a campus beautification initiative that would imvolve various projects, such as planting trees and remodeling bulidings, to make the campus more...
-
A company has net income of $196,000, a profit margin of 9.7 percent, and an accounts receivable balance of $135,370. Assuming 70 percent of sales are on credit, what is the companys days sales in...
Study smarter with the SolutionInn App