(1) Marginal characteristic functions can be obtained from a joint characteristic function as Ox(@) = 0xy(@,,0) , ¢x(@,)=0,y (0, w,) and also Oxy (0,0) =1 XY

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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Prove the following

(1) Marginal characteristic functions can be obtained from a joint
characteristic function as
$z(@) = ¢xy(@,,0), ¢x(@,)= ¢xy (0,@,)
XY
XY
and also
%3D
XY
Transcribed Image Text:(1) Marginal characteristic functions can be obtained from a joint characteristic function as $z(@) = ¢xy(@,,0), ¢x(@,)= ¢xy (0,@,) XY XY and also %3D XY
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