Mathematics, 18.12.2019 00:31 Absynthe3986
Project assignment: the aim of this project is to derive and implement a computer algorithm to generate observed values (random samples) of three different random variables using the inverse transform method. the three random variables of interest are: (1) x1~uniform(θ1,θ2), (2) x2~exponential(β), and (3) x3~cauchy(θ). we have not introduced the cauchy random variable in this class but its probability density function (pdf) is given by: ) = (1/pi)(1/(1+(x-theta)^2)) on -[infinity] < x < [infinity], -[infinity] < θ < [infinity].the first part of your assignment is to derive the above procedure for the three random variables x1, x2 and x3.the second part of your assignment is to implement the method in r and provide the following results: 1. generate a random sample of size 100,000 from a uniform(-2,1). 2. generate a random sample of size 100,000 from an exponential(3). 3. generate a random sample of size 100,000 from a cauchy(2).for cases (1) and (2), report the mean and variance of your random sample, and display its histogram. compare the mean, variance and histogram obtained using your approach to those obtained via a random sample using the built-in r functions runif(1,-2,1) and rexp(1,1/3). for case (3), report the median of your random sample and compare it to the median obtained via a random sample using the built-in r function rcauchy(1,2).
Answers: 2
Mathematics, 21.06.2019 22:30
Shannon drove for 540 minutes. if she traveled 65 miles per hour,how many total miles did she travel?
Answers: 2
Mathematics, 21.06.2019 23:00
Frank has a devised a formula for his catering business that calculates the number of meatballs he needs to prepare. the formula is m=4a+2c, where c=number of children; m=number of meatballs; a=number of adults. how many meatballs are required for a party of 10 adults and 5 children?
Answers: 1
Mathematics, 22.06.2019 00:00
Let u = {q, r, s, t, u, v, w, x, y, z} a = {q, s, u, w, y} b = {q, s, y, z} c = {v, w, x, y, z}. list the elements in the set.a ∩ (b ∪ c)a) {q, s, w, y}b) {q, y, z}c) {q, s, u, w, y, z}d) {q, r, w, y, z}
Answers: 1
Project assignment: the aim of this project is to derive and implement a computer algorithm to gene...
Mathematics, 15.04.2021 17:50
Advanced Placement (AP), 15.04.2021 17:50
Chemistry, 15.04.2021 17:50
Mathematics, 15.04.2021 17:50
Mathematics, 15.04.2021 17:50
Mathematics, 15.04.2021 17:50
English, 15.04.2021 17:50
Mathematics, 15.04.2021 17:50
Business, 15.04.2021 17:50
Mathematics, 15.04.2021 17:50
English, 15.04.2021 17:50