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Can I get a detailed answer for this question.Suppose {u_(1),u_(2),u_(3)...} is a sequence of independent observations generated from UUNIF(0,1) . Define x_(1)=-theta ln(1-u_(1)),x_(2)=-theta ln(1-u_(2)),x_(3)=-theta ln(1-u_(3)),dots
Can I get a detailed answer for this question.Suppose
{u_(1),u_(2),u_(3)...}
is a sequence of independent observations generated from
UUNIF(0,1)
. Define\
x_(1)=-\\\\theta ln(1-u_(1)),x_(2)=-\\\\theta ln(1-u_(2)),x_(3)=-\\\\theta ln(1-u_(3)),dots\ y_(1)=-\\\\theta lnu_(1),y_(2)=-\\\\theta lnu_(2),y_(3)=-\\\\theta lnu_(3),dots
\ Verify that both
{x_(1),x_(2),..}
and
{y_(1),y_(2),..}
are sequences of independent observations generated from the same\ distribution
F
, and determine
F
.
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