Problem 3 1. Choose either the Halton or the Sobol sequence of quasi-random numbers. Brieﬂy describe...

Problem 3 1. Choose either the Halton or the Sobol sequence of quasi-random numbers. Brieﬂy describe how they are constructed.

2. Illustrate graphically the diﬀerence between pseudo-random numbers and quasi-random numbers.

3. Repeat step 2 of Problem 1 with quasi-random numbers. Comment.

Expert Solution

I have answered only above 2 questions

(Please reupload the 3rd one with the question mentioned clearly)

Colby Messinger answered 2 years ago

1. Assess the following claims as either “True”, “False” or “Uncertain” and brieﬂy explain your response:...

1. Assess the following claims as either “True”, “False” or “Uncertain” and brieﬂy explain your response: (a.) “Assuming that the expectations theory of the term structure is true, if the market believes that interest rates are likely to decrease in the near future borrowers would immediately increase their supply of shortterm securities.” (b.) “Assume you have a collection of municipal bonds and corporate bonds of similar maturities and default risk (i.e. both sets of bonds carry a rating of “AA+”...

Exercise 6. Test the claim that the following sequence of numbers is not random at α...

Exercise 6. Test the claim that the following sequence of numbers is not random at α = 0.025 using the rank test for randomness. 250 221 205 225 215 216 216 236 246 200 207 245 201 229 248

The Fibonacci sequence is the series of numbers 0, 1, 1, 2, 3, 5, 8,.... Formally,...

The Fibonacci sequence is the series of numbers 0, 1, 1, 2, 3, 5, 8,.... Formally, it can be expressed as: fib0 = 0 fib1 = 1 fibn = fibn-1 + fibn-2 Write a multithreaded C++ program that generates the Fibonacci series using the pthread library. This program should work as follows: The user will enter on the command line the number of Fibonacci numbers that the program will generate. The program will then create a separate thread that will...

Generate 1000 random numbers from ??3? starting with standard normal random numbers in R.

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a)...

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a) If this is true, what kind of distribution would the randomly chosen numbers have? (b) What would be the mean of this distribution? (c) What would be the standard deviation of this distribution? (d) Say we take a sample of 65 generated numbers and obtain a sample mean of 1552. What do we know about the sampling distribution of the sample mean and how...

Provide a recursive definition of some sequence of numbers or function (e.g. log, exponent, polynomial). Choose...

Provide a recursive definition of some sequence of numbers or function (e.g. log, exponent, polynomial). Choose one different from that of any posted thus far. Write a recursive method that given n, computes the nth term of that sequence. Also provide an equivalent iterative implementation. How do the two implementations compare?

The transmitter transmits either an infinite sequence of 0s with a probability 2/3 or 1s with...

The transmitter transmits either an infinite sequence of 0s with a probability 2/3 or 1s with a probability 1/3. Each symbol, regardless of the others and the transmitted sequence is identified by the receiving device with an error with a probability 0.25. i) Given that the first 5 identified symbols are 0s, find the probability P (000000 | 00000) that the sixth received symbol is also zero. b) Find the average value of a random variable equal to the number...

2) Suppose I use a random numbers table to randomly choose 900 numbers between 0 and 100....

2) Suppose I use a random numbers table to randomly choose 900 numbers between 0 and 100. In this particular sample, the mean of the 900 numbers is 50 and the standard deviation is 30. a)Approximately, what proportion of the 900 numbers should fall between 20 and 80 (inclusive)? b)Suppose each student in Static (class size = 140) repeats the experiment described above and computes the mean of his or her 900 numbers. Based on the information given above, estimate the...

Problem 1) Try creating 100 normally disributed random numbers with an average of 10 and standard...

Problem 1) Try creating 100 normally disributed random numbers with an average of 10 and standard deviation of 1. How close is the average to 10? How close is the standard deviation to 1? Problem 2) Try creating 100 normally disributed random numbers with a true average of 10 and true standard deviation of 1. What is the confidence interval for the measured average? Is it higher or lower than the confidence interval for 20 samples?

Simulate 50000 exponential random numbers having rate 3. (a) Find the proportion of these numbers which...

Simulate 50000 exponential random numbers having rate 3. (a) Find the proportion of these numbers which are less than 1. Compare with the probability that an exponential random variable with rate 3 will be less than 1. (b) Compute the average of these numbers. Compare with the expected value. (c) Calculate the variance of this sample, and compare with the theoretical value. Please include R-code

Question