Question: In R programming use Laplace approximation to find mean and standard deviation. data = rexp(20, rate=0.5) . Suppose you model this data as following an

In R programming use Laplace approximation to find mean and standard deviation. data = rexp(20, rate=0.5) . Suppose you model this data as following an Exponential( p ) distribution, where the prior is that p ~ Normal(0,1). Use Laplace's approximation to estimate the posterior for p , what is the mean and standard deviation?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

13. What is a lower bound for the price of 3-month call option on a non- dividend-paying stock when the stock price is $50, the strike price is $45, and the 3-month risk-free interest rate is 8%?...

answer all questions as instructed below. attend all questions. 4 Computer Vision (a) Explain why such a tiny number of 2D Gabor wavelets as shown in this sequence are so efficient at representing...

answer all questions as instructed below. make sure you have attended all questions .Comparative Architectures (a) Describe the organisation of a two-level branch predictor that makes use of a global...

INVESTMENT QUESTIONS 1. Suppose your expectations regarding the stock price are as follows: State of the Market Probability Ending Price HPR (including dividends) Boom 0.22 $140 49.5% Normal growth...

SET A: One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings...

1 This assignment covers material from Units 1 to 4 in the Mathematics 244 Study Guide. It is due after Unit 4 in the Study Guide is completed. Total Marks = 150 1. Evaluate each of the following...

LAB ACTIVITY #3 For each part of this lab, SUBMIT your solution to everything asked in BOLD RED in Problems 1-6 below. Include the respective R code and output. Part 1 (Continuous Distributions in R)...

4.4 Understanding the Principles 4.1 4.2 What is a random variable? How do discrete and continuous random variables differ? Applying the Concepts Basic 4.3 4.4 4.5 4.6 Type of Random Variable....

LAB ACTIVITY #2 Show your solution to EVERYTHING asked IN RED in Problems 1 - 4 below. Remember to include the relevant R code and output. Part 1 (Continuous Distributions in R) In this part we will...

Describe the quantitative results of the study, including all statistics, identified in the article? Describe the meaning of the results and how they answer the research question? An ANOVA approach...

What types of energy make up the internal energy of monatomic gases? How about diatomic gases?

Consider a single-period binomial model: The price of the stock at time 0 is S(0) = 100. At time 1 it can move up to 110 with probability 1/3, and down to 90 with probability 2/3. There is also a...

Los principales instrumentos de financiamiento de largo plazo son: Bonos municipales, bonos de la Tesorera efectos de comercio, bonos corporativos. Bonos estatales, bonos corporativos, letras...

2. Let a1, a2, a3,... be a Cauchy sequence of positive numbers. For n = 1,2, 3, ..., let b, = sin(a) + Ta. Prove that b1, b2, b3, ... is a Cauchy sequence by checking the definition of Cauchy...

Consider the following code which determines whether x and y are relatively prime (that is, there are no integers 2 that divide evenly into both x and y): bool IsRelativelyPrime(int x, int y) { for...

A transverse sine wave travels at a speed of 580 m / s in the positive x direction and has a frequency of 270 Hz and an amplitude of 5.7 cm. Write an expression for the wave function u (x, t) which...

Cn 3. Let cn >0. Prove that if c1, C2, C3, ... converges to 2, then lim %3D n-0 + Cn Cn +2. by checking the definition of limit of sequences. +

The return of goods to the supplier will affect the purchase account. Question 27Answer True False

Alexander BorbÃ©ly is a professor at the University of Zurich Medical School, where he is the director of the sleep laboratory. The histogram in Figure 3-2 is based on information from...

(a) Suppose n = 6 and the sample correlation coefficient is r = 0.90. Is r significant at the 1% level of significance (based on a two-tailed test)? (b) Suppose n = 10 and the sample correlation...

Look at the following diagrams. Does each diagram show high linear correlation, moderate or low linear correlation, or no linear correlation? (a) (b) (c)

=+b. What is P(xn11 , x1 and xn11 , x2), that is, the probability that xn11 is the smallest of these three observations?

=+a. What is P(xn11 , x1)?

=+c. What is P(xn11 , y1)? What is P(xn11 . yn)?