Given a Weibull(2,4) distribution how would you use the qweibull() function in R to find the endpoints of 5 equally likely intervals.
qweibull(p, shape, scale) gives P(X < x) = p
we will take p = 0.2,0.4,0.6,0.8
to take 4 different values
which will divide the region between 0 and infinity into 5 equally likely intervals.
Given a Weibull(2,4) distribution how would you use the qweibull() function in R to find the...
The Weibull distribution was introduced in Sect. 3.5. (a) Find the inverse cdf for the Weibull distribution. (b) Write a program to simulate n values from a Weibull distribution. Your program should have three inputs: the desired number of simulated values n and the two parameters α and β. It should have a single output: an n x 1 vector of simulated values. (c) Use your program from part (b) to simulate 10,000 values from a Weibull(4, 6) distribution and...
Proof that. Please explain all steps of the solution. The cdf of Weibull distribution is given by where λ, k R+ are the scale and shape parameters. The cdf of Weibull distribution is given by where λ, k R+ are the scale and shape parameters.
5. (11 pts) Use the Distribution Function Method on this problem: The random variable Y has an exponential distribution with parameter β. Let ?? = √??. Find the pdf of U. Note: U has a Weibull distribution. You will see the Weibull distribution many times in this course 5. (11 pts) Use the Distribution Function Method on this problem: The random variable Y has an exponential distribution with parameter B. Let U-VY. Find the pdf of U. Note: Uhas a...
(11 pts) Use the Distribution Function Method on this problem: The random variable Y has an exponential distribution with parameter B. Let U vY. Find the pdf of U. Note: Uhas a Weibull distribution. You will see the Weibull distribution many times in this course. 5.
I need a function in R or just code in R that will solve this. (Thanks in advance) 1. The probability density function for Exponentiated Weibull distribution is and its corresponding cdf is given by F(x) 1-exp(x) This distribution is a popular distribution in analyzing lifetime data. a) b) Find the mean and variance when-10, α 2 and β-4 Compute the probability when the random variable X is between two standard deviation of the sample mean, where λ-10, α-2 and...
2- 5. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let B>0, 8>0. Consider the probability density function x>0 zero otherwise Recall (Homework #1) V-Χδ has an Exponential(8-T )-Gamma(u-l,e-1 ) distribution. Let X1, . , X/ be a random sample from the above probability distribution. y-ΣΧ.Σν i has a Gamma(u-n, θ- 1 ) distribution. !!! i-l 2. suppose δ is known. Let Xi, X2, , Xn be a random sample from the distribution with...
The diagram shows a quadratic given by y = r² + b3 + c. (2,4) (a) Use the diagram to show that b= -4 and c= = 8. (b) Find k given that the graph passes through the point (3,k). (c) Use the quadratic obtained in part (a) to show that this graph doesn't have any real roots. Hence find the complex roots of the quadratic.
Part 1: Derive the expected value and find the asymptotic distribution. Part 2: Find the consistent estimator and use the central limit theorem b. Derive the expected value of X for the Weibull(X,2) distribution. c. Suppose X,.. .X,~iid Uniffo,0). Find the asymptotic distribution of Z-n(-Xm) max Let X, X, ~İ.id. Exp(β). a. Find a consistent estimator for the second moment E(X"). Use the mgf of X to prove that your estimator is consistent in the case β=2 b. Use the...
Find a polynomial function whose real Zenos & degrees are given. - 2 multiplicity 2,4 mutiplicity 2 : degrees Zenos -- 20 Sered and Find the asymptor if any. flyl- - x H x-sx-14
4. Use the distribution function technique to find the density function for Y = 2X + 3 The density function for X is f(x). Your answer should be given as a piecewise function. 2x + 1) 1<x<2 f(x) = 4 0 elsewhere =f2x+1) h 5. Use the transformation technique to find the density function for Y = 4x + 1. The density function for X is f(x). Your answer should be a piecewise function. f(x) = S4e-4x 0 < x...