1. Introduction. This paper discusses a special form of positive dependence.
Positive dependence may refer to two random variables that have
a positive covariance, but other definitions of positive dependence have
been proposed as well; see [24] for an overview. Random variables X =
(X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any
two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and
E|f(X)g(X)| all exist [13]. This notion has important applications in probability
theory and statistical physics; see, for example, [28, 29].
However, association may be difficult to verify in a specific context. The
celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in
[14], introduces an alternative notion and establishes that X are associated if
∗
SF was supported in part by an NSERC Discovery Research Grant, KS by grant
#FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and
the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science
Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme
PIOF-GA-2011-300975.
MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48
Keywords and phrases: Association, concentration graph, conditional Gaussian distribution,
faithfulness, graphical models, log-linear interactions, Markov property, positive
Answer:
To find out the range, you check the minimum and maximum of the graph, and then check the y-component of these minimum and maximum.
You would get the minimum(-6, -6), and maximum(3, 4), get the y-component of these two points, you got the range: -6 to 4
Hope this helps!
:)
Answer: 252 in
Step-by-step explanation:
Answer:
The correct answer is 0.486.
Step-by-step explanation:
Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610
Number of employees on flex time are 350, out of which 170 are men and 180 are women.
We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.
Favorable outcomes are 170 and total outcome is 350.
Thus the probability is given by 
= 0.4857≈ 0.486
Answer: 10.50 is what she has left to spend
Step-by-step explanation: Hope it helps!
