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MarcumQ

MarcumQ
gives Marcum's Q function .
MarcumQ
gives Marcum's Q function .
  • Mathematical function suitable for both symbolic and numerical evaluation.
  • for real positive , , and .
  • MarcumQ is an entire function of both a and b with no branch cut discontinuities.
  • For a certain special argument, MarcumQ automatically evaluates to exact values.
  • MarcumQ can be evaluated to arbitrary numerical precision.
  • MarcumQ automatically threads over lists.
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Click for copyable input
Out[1]=
In[2]:=
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Evaluate numerically:
Evaluate numerically for arbitrary order:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Amplitude of a signal is modeled by RiceDistribution. Find the probability that the amplitude will exceed its mean value:
Evaluate numerically:
Compare the value of the MarcumQ function for large arguments to its asymptotic formula:
Construct an approximation using the central limit theorem:
Evaluate numerically:
New in 8