Question: Explain why a gamma random variable with parameters (t, ) has an approximately normal distribution when t is large.

Explain why a gamma random variable with parameters (t, λ) has an approximately normal distribution when t is large.

Step by Step Solution

★★★★★

3.54 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The random variable being the marks scored in the test The variance of a random variable sh... View full answer

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 A First Course In Probability Questions!

Q:

If X is a gamma random variable with parameters (n, 1), approximately how large need n be so that 101 01?

Q:

Suppose that Y is a gamma random variable with parameters r and and the prior is also gamma with parameters s and . Show that the posterior pdf is gamma with parameters r +s and y + .

Q:

Verify that Var(X) = / 2 . when is a gamma random variable with parameters and .

Q:

4. Use the result of Example 11.11 to explain how a gamma random variable with parameters (n/2, 1/2), n being a positive integer, can be simulated.

Q:

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...

Q:

a Let Us Try! '\\ Hello! I hope you are having a good day. Before proceeding to Lesson 1, try to read and answer the activity below rst. Let us try rst your understanding of the concept. Get 1/2...

Q:

2. (Gibbs samplerPart I) This is le rst part of a two part question on the Gibbs sampler. In the next problem, you will use the Gibbs sampler for a Bayesian parametric estimation problem. I give you...

Q:

10.2.1. If x are iid from a uniform population over [0, 1], evaluate the density of x1 + + xn for (1) n = 2; (2) n = 3. What is the distribution in the general case? 10.2.2. If x1 ,... , xn are iid...

Q:

8. For a large positive integer n, let X be a Poisson random variable with parameter n; let Y be a gamma random variable with parameters n and , and let W be a binomial random variable with...

Q:

Recall that X is said to be a gamma random variable with parameters (, ) if its density is f (x) = e x(x)1/(), x > 0 (a) If Z is a standard normal random variable, show that Z2 is a gamma random...

Q:

Research recent developments involving this case. Summarize these developments in a bullet format.

Q:

Bella deposits $6400 in a savings account at a bank that offers interest of 1.8% on such accounts. What is the value of the money in her savings account in two year's time? Select one: O a. $6,630.4...

Q:

2 6 Which ratio does not include a component to evaluate financial leverage? Multiple Choice 0 3 : 3 0 : 5 5 Return on assets Return on equity Return on sales Return on investment

Q:

To appreciate that since the early 1970s, domestic violence crimes have been transformed from a private concern to a criminal justice problem.

Q:

A total of 28 percent of American males smoke cigarettes, 7 percent smoke cigars, and 5 percent smoke both cigars and cigarettes. (a) What percentage of males smokes neither cigars nor cigarettes?...

Q:

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the...

Q:

A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 10 percent I and II: 8 percent I and II and III:...

Q:

Suppose two factors are driving the asset returns. Suppose that the risk-free rate is 3%. The factor risk premiums are 3% and 6% respectively. Suppose that asset U is a well-diversified portfolio and...

Q:

Merit Enterprise Corp. Sara Lehn, chief financial officer of Merit Enterprise Corp., was reviewing her presentation one last time before her upcoming meeting with the board of direc- tors. Merits...

Q:

1.A survey of 85 randomly selected homeowners finds that they spend a mean of $67 per month on internet. Assume that the population standard deviation is $14 per month. a)Construct and interpret a...