A random sample X1,...,Xn has density as the one shown in the image A) whats the distribution of the random variable X1^2/ (2θ^2) Β) find the maximum likelihood estimator for θ C) find a confidence interval 1-a=0.95 for θ

A random sample X1,...,Xn has density as the one shown in the image A) whats the distribution of the random variable X1^2/ (2θ^2) Β) find the maximum likelihood estimator for θ C) find a confidence interval 1-a=0.95 for θ

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find the standard deviation of the correlation coefficient using the data below. (Sr) >x? = 1667 Er…

A: From the given information, the correlation coefficient isr=∑XY∑X2∑Y2=141216671667=14141667=0.8482

Q: (b) Assume that n independent count variables {X,X,...,X,} are identically distributed as X, ~…

Q: Suppose that a pdf for a continuous random variable Y takes the form ayya-1 (1 + yª)r+1 y > 0 f() =…

Q: Let X has Poisson distribution with mean value e". (a) Given the sample X,,.., X Find â, ML…

A: M.L.E of a is a^ = sum(log Xi)

Q: Q11) Calculate the variance of g(X)=X^2+3, where X is a random variable with probability…

Q: 7 Let X1,...Xn be iid Normal( θ+ c, σ^2), where c and σ ^2 are known constants (i.e., E(Xi) = θ +…

Q: I. R^2 is the square of correlation coefficient I. The type II error of a test is the probability of…

Q: he average American gets a haircut every 41 days. Is the average larger for college students? The…

A: Given,sample size(n)=16sample mean(x)=44.9375standard devation (s)=5.3225α=0.05H0: μ=41H1:μ>41

Q: Which of the following is true about variance and standard deviation? a) The standard deviation…

A: The question is asking us to identify the correct statement about variance and standard deviation,…

Q: If the variance of a poisson variate is 3. Find the probability that X = 0 i) i) ii) 0<x<3 18x<4

Q: Find the MLE estimator of θ .

Q: 7) Suppose the function Y have a hypergeometric distribution such that- N = 16, n = 5, k = 6 Find i)…

Q: Find the minimum mean square error forecast A forecast error e, (1) and Varfe, (1)1 for the…

Q: Let X and Y be two independent normal rvs with means u = 10 and u = 4 and standard deviations o, = 2…

Q: Prove that the standard deviation of a normal distribution that has parameters (µ , σ) is σ

A: µ (mu): This represents the mean of the normal distribution.σ (sigma): This represents the standard…

Q: Suppose data are positive numbers z1, T2, … .., T, and suppose it is decided to model these by…

A: Given: X1,X2,……,Xn follows Gamma(γ,λ)γ is knownλ∈(0,∞)λ^ be the MLE of λx=∑xii=1nn using this we…

Q: As soon as possible! Let X and Y as below, a) Marginal PMFs PX(x) and PY (y). b) Expected…

A: Given

Q: A continuous random variable has a pdf f(x) = < x < 2 2 Ootherwise

A: Basic formula for variance and expectation are used in the given solution

Q: 7.9 Let X1,...,Xn be iid with pdf f(x|e) : * 0 0. Estimate 0 using both the method of moments and…

Q: please answer asap will leave you good review Let Y1, . . . , Yn be an iid sample from N(μ, σ2),…

A: X~N(μ,σ2)

Q: A continuous random variable has a Weibull distribution with parameters a = 2 and ß = 12. a)…

Q: You are performing a two-tailed matched-pairs test with 19 pairs of data. If α=0.1α=0.1, find the…

A: The sample size n is 19.

Q: 2) Let X be normal variate with a mean of 65 and standard deviation of 5. Find the value ofa', if 1)…

A: Given : Mean = 65 Standard deviation = 5

Q: other wise CG) Find G Suygicient statistic fur cb) Find the maximum likelihood estimator Jur (c)…

A: The random variable x1,x2 ...xn is given but i have taken y1,y2,....yn and the all calculation are…

Q: 6). If X is a binomial random variable with n=6 and p=0.4, the probability P(X21) is A) 0.2333 B)…

A: Q-6)binomial distributionn = 6p = 0.4P(x≥1) = ? Q-7)binomial distributionn = 9p = 0.4standard…

Q: 1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 01115 15 C) 2.24…

A: standard normal distribution Z~N(0,1) P(z>b) = 0.1251 b = ?

Q: Let X ~ N(0,1), the standard Normal distribution. (a) Determine the 3rd moment of X. (b) Determine…

Q: (a) Derive the maximum likelihood estimate for a. If you decide to use calculus methods, you have to…

Q: Suppose that random variable X has a normal distribution with mean μ = 10 and standard deviation σ =…

A: Given:μ = mean = 10σ = standard deviation = 4 (a) Pr (X < x0.05) = 0.05In order to solve this, we…

Q: What type of model is presented below – Model 3. What impact do d_y and d_rs have on the dependent…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: Answer parts a and b of the following question. Show work. Let Y > 0 be a continuous random…

A: From the given information, the random variable Y>0 be a continuous random variable representing…

Q: Random variables X and Y are uniformly distributed on the half disk bounded by√1 −x2, where |x|< 1.…

A: Given that X and Y are uniformly distributed on a half-disk bounded by(1-x2, where |x|<1. Here,…

Q: a) Using integrals, directly calculate the variance of the Weibull distribution with shape α and…

Q: Let Y > 0 be a continuous random variable representing time from regimen start to bone-marrow…

A: From the given information, the random variable Y>0 be a continuous random variable representing…

Q: Assume the data have a normal distribution. Find the critical z value(s) used to test the null…

Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4]. Determine the…

Q: 4) The prices of chairs sold at 20 different shops have a mean of x =H TL and a standard deviation…

A: We have, H=550, J =540 a).Given:n=sample size=20x bar=sample mean=550mu=population…

Q: Consider independent observations (ri, y₁), ... (rns yn), from the model Y,~ Bin(r,, p) for i = 1,…

A: Consider independent observations from the model for where the are fixed constants.

Q: X1,..,Xn random sample from gamma probability distribution with parameter a,b. Find moment…

Q: find the Empirical Relation between them. the lower and upper quartile also mention the relation…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Use what you know about order statistics to show that for the random sample of size n = 3 the median…

Q: ndóm sample from a distribution with the pdf (e– 1)x(e- 2) for 0sxs1 f(x,0)%D where 0 >1. otherwise…

A: Given: fx=θ-1xθ-2 0≤x≤10 otherwise

Q: OThe continuous random variable Z follows a standard normal distribution. Using table, find: i…

A: i. The standard normal variable is Z, which follows the normal distribution with the mean of 0 and…

Q: X1, X2 Xn, n volumes of random sample mean taken from the population ..... with an Exponential…

A: We have to find the MLE of theta for exponential distribution.

Q: The distribution of certain test scores is a nonstandard normal distribution with a mean of 80 and a…

A: According to the provided information, we have Mean = 80 Standard deviation = 9 Nonstandard normal…

Q: α = 0.01 for a right tailed test. Find the critical z value.

A: It is given that the test is right tailed test.

Q: Suppose X - Fm,n- a) Find the distribution of 1/X. b) Find the distribution of (m/n)X Y = 1+ (m/n)X…

A: Given, X~Fm,n. The pdf of F-distribution is, f(x)=mnm2.xm2-1B(m2,n2) (1+mnx)m+n2

Question

A random sample X1,...,Xn has density as the one shown in the image

A) whats the distribution of the random variable X1^2/ (2θ^2)

Β) find the maximum likelihood estimator for θ

C) find a confidence interval 1-a=0.95 for θ

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Answer part a of the following question. Show work. Let Y > 0 be a continuous random variable representing time from regimen start to bone-marrow transplant. Everyone does not survive long enough to get the transplant. Let X > 0 be a continuous random variable representing time from regimen start to death. We can assume X ⊥ Y and model time to death as X ∼ Exp(rate = θ) and time to transplant as Y ∼ Exp(rate = µ). Where Exp(rate = λ) denotes the exponential distribution with density f(z | λ) = λe−λz for z > 0 and 0 elsewhere - with λ > 0. a.) Compute the probability that a patient receives transplant before they pass away (die) by integrating over the joint density fxy.
A random sample X1, X2, ..., Xn is obtained for a random variable X believed to be distributed as Beta(a, 7) (notice that B = 7 is known). Use the method of moments to determine the value of given 0.72.
5
please slove only part B
The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ> 0 year and power β = 2. Determine a) The half life of concrete EXb) The variance VXc) The probability that the concrete lasts more than 10 years; P (X> 10)
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
If needed utilize Moment Generating Functions (MGF), or PGF Please show all steps
PLease Show all work so I can Understand
b) Find the mean and standard deviation of the difference. c) Find the rejection region and state your decision at α = 0.01.
Q8 and Q9 please
Let {Xi}ni be IID from Uniform(θ,0). Find the likelihood function and the MLE of θ