communication

The mutual information I(X,Y)=H(X)−H(X|Y) between two random variables X and Y satisfies

I(X,Y)>0

I(X,Y)≥0

I(X,Y)≥0, equality holds when X and Y are uncorrelated

I(X,Y)≥0 , equality holds when X and Y are independent

  1. 👍 0
  2. 👎 0
  3. 👁 55

Respond to this Question

First Name

Your Response

Similar Questions

  1. communication

    Let X,Y be discrete random variables related as Y=g(X), where g is a deterministic function. The ordering of their entropies satisfies H(X)≤H(Y), equality holds if g is a one to one mapping H(X)≥H(Y), equality holds if g is a

    asked by digital communication on August 8, 2018
  2. probablity

    In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random

    asked by Anonymous on December 16, 2018
  3. communication

    X and Y are discrete jointly distributed discrete valued random variables. The relation between their joint entropy H(X,Y) and their individual entropies H(X),H(Y) is H(X,Y)≤H(X)+H(Y), equality holds when X,Y are independent

    asked by digital communication on August 8, 2018
  4. probablity

    Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random variable with mean λ1+λ2. Arguing in a similar way, a Poisson random variable X with parameter t, where

    asked by Anonymous on December 23, 2018
  5. Probability

    Let Z be a nonnegative random variable that satisfies E[Z^4]=4. Apply the Markov inequality to the random variable Z^4 to find the tightest possible (given the available information) upper bound on P(Z≥2). P(Z>=2)

    asked by Sam on April 14, 2017
  6. Statistics

    In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all adults invest in mutual funds. Suppose a random sample of

    asked by Brahmprakash on October 6, 2017
  7. probability

    Determine whether each of the following statement is true (i.e., always true) or false (i.e., not always true). 1. Let X be a random variable that takes values between 0 and c only, for some c≥0, so that P(0≤X≤c)=1. Then,

    asked by RVE on February 28, 2015
  8. government

    How has the Supreme Court ruled on affirmative action in university admissions? A. Race can only be a factor in medical school admissions. B. It is up to the states to decide whether they will allow race as a factor in admissions.

    asked by dbh on April 24, 2019
  9. Probability

    The random variables X1,..,Xn are independent Poisson random variables with a common parameter Lambda . Find the maximum likelihood estimate of Lambda based on observed values x1,...,xn.

    asked by qwerty on April 21, 2014
  10. Probability

    For each of the following statements, determine whether it is true (meaning, always true) or false (meaning, not always true). Here, we assume all random variables are discrete, and that all expectations are well-defined and

    asked by qwerty on March 4, 2014

More Similar Questions