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:
i needd points sorry
Step-by-step explanation:
nts
It can give you a pretty good idea of how many degrees everything is. for example if something was 13degrees, you would be able to make an estimate because you know how much one degree is.
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20x+5−0=5x+(32.5)(2)
20x+5+0=5x+65
(20x)+(5+0)=5x+65(Combine Like Terms)
20x+5=5x+65
20x+5=5x+65
Step 2: Subtract 5x from both sides.
20x+5−5x=5x+65−5x
15x+5=65
Step 3: Subtract 5 from both sides.
15x+5−5=65−5
15x=60
Step 4: Divide both sides by 15.
15x
15
=
60
15
x=4
Hope this helps!
:)
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1. the mode is 100 because 100 is the most common number in that sequence
2. the mean is 193.8 because if you add up 108, 306, 252, 113, and 191 then divide that by 5 you get 193.8
