The Gamma distribution, G(, ) has density given by Here () is the gamma function of Section
Question:
The Gamma distribution, G(α, λ) has density given by
Here Γ(α) is the gamma function of Section 6.8 and equals (α−1)! if α is a positive integer. Show that the Gamma is infinitely divisible (empirically) by showing that the histogram for the sum of six samples of G(1, λ) has the same density as G(6, λ). Note that, for α a positive integer, then
is a sample from G(α, λ),
Transcribed Image Text:
fa(x: a, A) = 1a I(a)" -¹-², x>0. -Ar (6.42)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
To show that the Gamma distribution is infinitely divisible empirically we would need to compare the density of the sum of independent Gammadistribute...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
-
The homogeneous rectangular block having dimensions a-1.93, b=2.75 as shown, and mass m, rests on the inclined plane which is hinged about a horizontal axis through O. Calculate the minimum value of...
-
Assume that on January 2, 2010, McKnight of Wyoming purchased fixtures for $8,300 cash, expecting the fixtures to remain in service for five years. McKnight has depreciated the fixtures on a...
-
A spherical shell satellite (3-m-OD, 1.25-cm-wall thickness, made of stainless steel) reenters the atmosphere from outer space. If its original temperature is 38?C, the effective average temperature...
-
The accountant of Hook, Line and Sinker, a partnership of seven people, has asked your advice in dealing with the following items in the partnership accounts for the year to 31 May 2007. (a) (i)...
-
Arsenal Electronics is going to construct a new $1.2 billion semiconductor plant and has selected four towns in the Midwest as potential sites. The important location factors and ratings for each...
-
Company uses the allowance method to account for uncollectible receivables. At the beginning of the? year, Allowance for Bad Debts had a credit balance of $ 1200 During the year Blimp wrote off...
-
(a) Make a chart similar to Fig. 6.9 showing the price of a put option using the jump diffusion model with lognormal jumps for stock prices versus the GBM model. In order to compare the results with...
-
The kurtosis of a random variable X is defined as Given data x 1 , x 2 ,...,x n an estimator for kurtosis is where x and s are empirical mean and standard deviation. The kurtosis of the normal...
-
What is the price elasticity of demand when P = 4 on the demand curve in Figure 4.4? Data from Figure 4.4 FIGURE 4.4 Calculating Price Elasticity of Demand. 20 (8/3)x(1/4) The price elasticity of...
-
A new blu-ray player costs $94.99 in the store. What would your total cost be if the sales tax is 4.5 % ? Round your answer to the nearest cent, if necessary.
-
Have you ever witnessed ineffective vs. effective delegation while you've been at a job? In a short paragraph, describe the situation and reflect what behaviors made it ineffective or effective. (5...
-
Ha Magan is saving money and plans on making quarterly contributions into an account earning an annual interest rate of 6% compounded quarterly. If Magan would like to end up with $49,000 after 6...
-
Suppose that a hollow cylindrical object is floating on the surface of water. This object has a mass of 300g and is floating such that 4cm of its height is submerged under the surface of water, while...
-
IMPEL Co. 2022 and 2021 balance sheets showed the following items: December 31 2022 2021 Debits: Cash $ 27,000 $ 21,000 Accounts receivable 43,000 49,000 Merchandise 113,000 97,000 inventory...
-
Ritz Company had the following stock outstanding and Retained Earnings at December 31, 2015: Common stock (par $ 1; outstanding, 500,000 shares). $ 500,000 Preferred stock, 8% (par $ 10; outstanding,...
-
Suppose you won a financial literacy competition and are given FJS10000 to invest, with the condition that investment can be done either in, i) Invest in Unit trust of Fiji or Invest in Fijian...
-
The position of a pine wood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) The first second, (b) The last 3...
-
(a) Sand dunes in a desert move over time as sand is swept up the windward side to settle in the lee side. Such walking dunes have been known to walk 20 feet in a year and can travel as much as 100...
-
The position versus time for a certain particle moving along the x axis is shown in Figure P2.3. Find the average velocity in the time intervals (a) 0 to 2 s, (b) 0 to 4 s, (c) 2 s to 4 s, (d) 4 s to...
-
Select all that apply The Handbook defines three different types of contributions: (select all that apply) Multiple select question. Restricted contributions Unrestricted contributions Endowment...
-
A NFPO has the following options for reporting net assets invested in capital assets Multiple select question. Disclose it in the notes to the statements Disclose it in the Management Discussion &...
-
Information found on any one of the major financial statements . Group of answer choices comes exclusively (only) from one of the other major financial statements is provided to a company by the IRS...
Study smarter with the SolutionInn App