could you solve my question as soon as possible, please?:)) Let X1,,X, be a random sample from a pdfS(x,0) =20?3,x20,0>0and the prior density of 0 is exponential with mean 1.Find the posterior distribution of 0.Find the Bayesian point estimate of 0 for an absolute error loss function.

From the given information, X1,.....Xn be a random sample from the pdf,

Answered: Let X1,…,X, be a random sample from a…

Math

Probability

Let X1,…,X, be a random sample from a pdf S(x,0) =: 20? ',x>0,0 > 0

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi.…

Q: Let X1, ... , Xn be a random sample have the pdf 1 (1-0) f(x,0) = -(x),0 < x < 1, 0<0 < ∞. Find mle…

A: The likelihood of X1,X2,...,Xn is given as: L=∏i=1nfxi,θ=∏i=1n1θxi1-θθ=1θ∏i=1nxi1-θθ…

Q: Let Y1 < Y2 < Y3 be the order statistics of a random sample of size 3 froma distribution…

A: Given that Z1=Y1Y2Z2=Y2Y3Z3=Y3 Then, Y3=Z3Y2=Z2Z3Y1=Z1Z2Z3

Q: Let Y1 < Y2 < Y3 < Y4 < Y5 denote the order statistics of a random sampleof size 5 from…

Q: Let X be a continuous random variable with PDF, (ke* : fx(x) = : otherwise x>0.

Q: Let Y(1) be the first order statistic of a random sample of size n from a distri- bution that has…

Q: Let X be a random variable from an exponential distribution with parameter 1/2. Calculate the…

Q: Let the random variable X follow a gamma distribution with α = 4 and β = 4. If Y = X2 what is the…

A: Given, X~ Gammaα=4,β=4 Y=X2

Q: Let X be a continuous random variable with a pdf f(x) = { kx5 0≤x≤1, 0…

Q: Let X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where 9 0. Let…

Q: Let X and Y be two random variables having joint PDF f(e,y) = e-+, > 0, y> 0. W X and V = 2X+ 3F

A: The joint PDF of two random variables X and Y is, f( x , y ) = e-(x+y) ; x>0 , y >00…

Q: Let 0, X1, X2,... be RVs. Suppose that, condi- tional on e = 6, X1, X2,... are independent and Xx is…

Q: Find the average value of |x| on the interval [−1, 1].

Q: Let X be a normal distribution with mean u and variance o? i.e. X ~ N(µ, o²). If Y = ex, then find…

A: 1. Given that Y=eX. Consider, the CDF of Y is, F(Y)=P(Y≤y) =P(eX≤y) =PX≤ln y =ϕ(ln…

Q: Given the CDF Fy(9) of random variable Y 1 0.8 0.6 0.4 0.2 0 1 2 3 4 5 y Is Y discrete or…

A: Solution

Q: Suppose the random variables X and Y have a pdf given by f (x, y) = kæy on 0<x<1,0<y<1 Find k.

A: 4.

Q: Let Y,,Y,.,Y, be a random sample of size n from the gamma, distribution with probability density…

A: the probability distribution function is given by fy(y,θ) =1(r-1)!θyyr-1 e-yθ ,y>0 the likelihood…

Q: Let X1,..., X, be a random sample from a two-parameter Weibull distribution with pdf x > 0 f(x) = 0,…

A: It is an important part of statistics. It is widely used.

Q: Let X be a continuous random variable with pdf f(x). If f(x) = 0 for x 0, P(X >a) < a where μ-…

A: Continuous Random Variable: A continuous random variable is a variable whose value can be obtained…

Q: 3. Let X and Y be continuous random variables with joint PDF (3x 0s ysxs1 f(x, y) = {* otherwise…

Q: Let (X,Y) be bivariate random variables having joint probability density function as Ex + y) 0sx<…

Q: Let Y₁, Y2,..., Yn denote a random sample of size n from a population with a uniform distribution on…

Q: Let X,..., X, be random sample from a population having the probability density function 0 0 f(x;0)…

A: It is an important part of statistics. It is widely used.

Q: Let Y be a random variable with pdf giyen by

A: Given that fy=30y21-y2, 0<y<1 Formula for Ey4 is, Ey4=∫01y4fydy

Q: Suppose that X ~ N(0,1). Then, under the condition X =x for some I E R, the distribution of Y is…

A: Given: X ~ N (0, 1) To find: Marginal pdf of Y

Q: Two real-valued RVs, X and Y, have joint PDF 1 p(x, x2) = exp 2TV1-r (x; – 2rx,x2 2(1 - r) where -1…

Q: Suppose that X and Y are independent exponential random variables with parameter lambda = 1. Let Z =…

A: Exponential distribution: A random variable X is said to have a exponential distribution with a…

Q: Let X, X2,X, be a random sample from the pdf given 2x f(x; 0) =,0 sxs0, zero elsewhere. Show that…

A: The minimum variance unbiased estimator is an unbiased estimator that has the lower…

Q: for a <r <b (and zero elsewhere) such that f is a PDF of a continuous random variable with expecte…

Q: et X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where 0. et…

A: Solution

Q: The signal r(t) is a WSS random process with a mean 4z equal to 32, and a normalized average power…

Q: Let X1,... , Xn be an iid sample with PDF f(x | 0) = 0x Find the MLE for 0. for x > 0, where the…

Q: Suppose X and Y are continuous random variables such that the pdf is f(x,y) = x + y with 0 < x < 1,0…

A: Given information: The joint probability density function of two continuous random variables X and Y…

Q: Let Yi < Y2 < ·.. < Y, be the order statistics of a random sample from a distribution with pdf f(1)…

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi,…

Q: Let X be a normal random variable with X ~ N(u, o?). Let Y = aX + B, where a, B are real constants.…

A: Given that X follows Normal distribution with mean μ and variance σ2.

Q: Let X,..., X, be random sample from a population having the probability density function 0 0 f(x;0)…

A: Given information in the question; Let X1,X2,.......,Xn be a random sample from a population having…

Q: 1. Let X1,..., Xn be a random sample from a distribution with pdf f(x) = 2x, 0< r < 1. Compute the…

Q: Let X be a continuous random variable with the following PDF fx(x) = - 0, x 20 x< 0 where c is a…

A: Given: fxx=ce-x,x≥00, x<0

Q: Let X1,..., X, be a random sample from a distribution with PDF f(x) = 2e-2* where 0. The…

A: Given that X1, .....Xn is a random sample from distribution with pdf f(x) = 2e-2x We have to…

Q: Let X1, X2 be a random sample of size n : = 2 from the exponential ity function (pdf with an unknown…

A: Given information: Given that the random sample X1, X2, … ,Xn is from an exponential distribution…

Q: Let X and Y be random variables with joint pdf 8xy for 0 fx,y (x, y) where k is a positive…

Q: Let X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where 0 0.…

A: Solution

Q: 2) Let X be a continuous random variable with PDF * 0 <a <2 fx(x) = (1) otherwise and let Y = X? +µ…

A: P.d.f of x is given, So we'll find pdf. Of Y Y= X2+ mu, x= √y-mu dy/dx = 2x dx= dy/2x dx =…

Q: Let X1,...,X, be independent random variables with pdfs f(z:(0) = { 0 -i(0 – 1) 0. Find a…

Q: Find E[XY] if fxx) = 2/3 and the joint PDF of the random variables X and Y is zero outside and…

A: Given problem is :

Q: Consider the random variable X with PDF (known as Cauchy distri- bution) f(x) = 7 -0 <x < 00. #(1+x)…

Q: The Gamma pdf for continuous random variable Y takes the form 1 -ya-le-y/ß B«T(a)' y > 0 fV) = for…

Question

could you solve my question as soon as possible, please?:))

Let X1,,X, be a random sample from a pdf
S(x,0) =
20?
3,x20,0>0
and the prior density of 0 is exponential with mean 1.
Find the posterior distribution of 0.
Find the Bayesian point estimate of 0 for an absolute error loss function.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Let Y1 < Y2 < Y3 be the order statistics of a random sample of size 3 froma distribution having the pdf f(x) = 2x, 0 < x < 1, zero elsewhere. Show thatZ1 = Y1/Y2, Z2 = Y2/Y3, and Z3 = Y3 are mutually independent.
Let X1, .... Xn be a random sample from a population with location pdf f(x-Q). Show that the order statistics, T(X1, ...., Xn) = (X(1), ... X(n)) are a sufficient statistics for Q and no further reduction is possible?
Let Y1 < Y2 < · · · < Yn be the order statistics of a random sample of size nfrom a distribution with pdf f(x) = 1, 0 < x < 1, zero elsewhere. Show that thekth order statistic Yk has a beta pdf with parameters α = k and β = n − k + 1.
If Y is a continuous, uniformly distributed random variable over the interval(4,10), then the value of the PDF between 4 and 10 is?
Let y1,y2,...,y10 be a random sample from an exponential pdf with unknown parameter λ. Find the form of the Generalized Likelihood Ratio Test for H0: λ = λ0 versus H1: λ doesn't equal λ0. What integral would have to be evaluated to determine the critical value if α were equal to 0.05?
Suppose that two random variables X and Y have the joint PDFfXY(u, v) = {60(u^2)v u ≥ 0, v ≥ 0, and u + v ≤ 1, 0 otherwise.(a) Are X and Y independent?(b) What is the marginal distribution fX(t)?(c) What is Pr[X ≥ Y]? (To set up the right integral, it might help you to draw the rangeof (X, Y) in the uv-plane and identify the region within that range where u ≥ v.)
Find the maximum likelihood estimator for θ in the pdf f(y; θ) = 2y/(1 − θ^2), θ ≤ y ≤ 1.
Let X1, X2 denote two independent variables, each with a x^2(2) distribution. Find the joint pdf of Y1=X1 and Y2 = X2+X1. Note that the support of Y1, Y2 is 0<y1<y2<infinity. Also, find the marginal pdf of wach Y1 and Y2. Are Y1 and Y2 independent?
Find the probability that the range of a random sample of size 4 from theuniform distribution having the pdf f(x) = 1, 0 < x < 1, zero elsewhere, is lessthan 12 .
Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2If σ2 is unknown, find a minimum value for n to guarantee, with probability 0.90, that a 0.95 CI for μ will have length no more than σ/4 explain.
If X is a uniformly distributed random varibale with a=8 and b=13, then Calculate the mean and variance of X? Round to three decimal places
Consider a random variable Y with PDF Pr(Y=k)=pq^(k-1),k=1,2,3,4,5....compute for E(2Y)