Question

How to do the following in R: Write a function to generate a random sample of...

How to do the following in R:

Write a function to generate a random sample of size n from the Gamma(α,1) distribution by the acceptance-rejection method. Generate a random sample of size 1000 from the Gamma(3,1) distribution. (Hint: you may use g(x) ∼ Exp(λ = 1/α) as your proposal distribution, where λ is the rate parameter. Figure out the appropriate constant c).

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How to do the following in R: Write a function to generate a random sample of...
How to do the following in R: Write a function to generate a random sample of size n from the Gamma(α,1) distribution by the acceptance-rejection method. Generate a random sample of size 1000 from the Gamma(3,1) distribution. (Hint: you may use g(x) ∼ Exp(λ = 1/α) as your proposal distribution, where λ is the rate parameter. Figure out the appropriate constant c).
How to do the following in R: Write a function to generate a random sample of...
How to do the following in R: Write a function to generate a random sample of size n from the Beta(a,b) distribution by the acceptance-rejection method. Generate a random sample of size 1000 from the Beta(3,2) distribution.
Use R to code a function to generate a random sample of size n from the...
Use R to code a function to generate a random sample of size n from the Beta(a, b) distribution by the acceptance-rejection method. (1) Generate a random sample of size 3000 from the Beta(4,3) distribution. (2) Graph the histogram of the sample with the theoretical Beta(4,3) density superimposed. Answer the above questions by showing the R codes and results.
Using MATLAB, not R codes, I repeat, please, not in R, just MATLAB codes, write the...
Using MATLAB, not R codes, I repeat, please, not in R, just MATLAB codes, write the complete code for: 1. Assume Y is an exponential random variable with rate parameter λ=2. (1) Generate 1000 samples from this exponential distribution using inverse transform method (2) Compare the histogram of your samples with the true density of Y.
Use R. Generate a random sample with n=15 random observations from an exponential distribution with mean=1....
Use R. Generate a random sample with n=15 random observations from an exponential distribution with mean=1. Calculate the sample median, which is an estimator of the population median. Use bootstrap (nonparametric, with B=1000) methods to estimate the variance of the estimator for the population median. use the Monte Carlo method, e.g. generate 1000 samples of size 15 to estimate the true variance of the median estimator. Compare and comment on your results.
This problem is to be done in R. Maria claims that she has drawn a random...
This problem is to be done in R. Maria claims that she has drawn a random sample of size 30 from an Exp(10) distribution (λ = 10, rate = 0.1). The mean of her sample is 12. (a) What is the expected value of a sample mean? (b) Run a simulation by drawing 1000 random samples, each of size 30, from an Exp(10) distribution, and compute the means for each sample. What proportion of the sample means are ≥ 12?...
USING MATLAB: 1. Assume Y is an exponential random variable with rate parameter λ=2. (1) Generate...
USING MATLAB: 1. Assume Y is an exponential random variable with rate parameter λ=2. (1) Generate 1000 samples from this exponential distribution using inverse transform method (2) Compare the histogram of your samples with the true density of Y.
Write an R code that does the following: (a) Generate n samples x from a random...
Write an R code that does the following: (a) Generate n samples x from a random variable X that has a uniform density on [0,3]. Now generate samples of Y using the equation: y = α/(x + β). For starters, set α = 1, β = 1 The R code: x=runif(n=1000, min = 0, max = 3) x y=1/x+1 y Please answer the following: b) Use plot(x,y) to check if you got the right curve. c) How does the correlation...
1. Write an R function named “abs.shift” to calculate the function value |x|-1 of a real...
1. Write an R function named “abs.shift” to calculate the function value |x|-1 of a real number x, where |x| is the absolute value of x. Do not use the abs() function. 2. Which of the following method is for simulating discrete random variables? A) The Rejection method with uniform envelope. B) The Inverse CDF method. C) The rnorm() function. D) The sample() function in R.
(1) Use ‘sample’ function to generate a vector of 100 random numbers that follows a multinomial...
(1) Use ‘sample’ function to generate a vector of 100 random numbers that follows a multinomial distribution with probability (0.1, 0.15, 0.3, 0.45). (2) Without using the ‘sample’ function, generate a vector of 100 random numbers that follows a multinomial distribution with probability (0.1, 0.15, 0.3, 0.45). (3) Calculate the probability for 2.5 < X < 9 in a Poisson distribution with the mean 6. （using R）
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT