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:
8 1/8 total miles walked.
Step-by-step explanation:
I like to make fractions simple so I would do this,
9/4 plus 47/8
Take 8 and your common denominator and solve.
18/8 plus 47/8 = 65/8 which can be put as 8 1/8.
18 groups of 12. 18 times 12. That equals 216. 216 can round to 200, 215, or 220.
How much bigger is B than A , so Side length B- A = (-4x+18) - (2x-7) = -6x+25
So perimeter = 4x length = 4x(-6x+25) = -24x+100 = 100-24x
How much bigger? 100-24X
__Brainliest if i helped!
Step-by-step explanation:
espero que te ayude por favor ponme corona gracias
