Apply the inverse-transform method to generate random variables from a Laplace distribution (i.e., a shifted two-sided exponential distribution) with pdf f(x) = frac{lambda}{2} e^{-lambda|x- heta|}, quad -infty < x < infty quad (lambda > 0).
Added by Megan H.
Close
Step 1
** Show more…
Show all steps
Your feedback will help us improve your experience
Kumar Abhinav and 86 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Apply the inverse-transform method to generate random variables from a distribution which has a probability density function (pdf) of Laplace: f(r) = exp(-|r|/2) / 2
Sri K.
Obtain the inverse function of the cdf of the Laplace pdf, given by $f(x)=$ $(1 / 2) e^{-|x|}$, for $-\infty<x<\infty$. Write an $\mathrm{R}$ function that returns a random sample of observations from this distribution.
Some Elementary Statistical Inferences
The Method of Monte Carlo
For a constant Laplace random variable X, the PDF f(x) = (1/2e^k) * e^(-|x|/k), where k > 0. Calculate the MGF Mx(s).
Shaiju T.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD