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Methods and an algorithm for computing the generalized Marcum $Q-$function ($Q_{\mu}(x,y)$) and the complementary function ($P_{\mu}(x,y)$) are described.
A statistical theory of target detection by pulsed radar
Marcum, J. I · 1960
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Recursive computation of certain integrals
Gautschi, W · 1961
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Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
Bleistein, N · 1966
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Asymptotics and special functions
Olver, F. W. J · 1974
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Computation of the noncentral F F distribution (CFAR) detection
Robertson, G. H · 1976
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A double integral containing the modified Bessel function: asymptotics and computation
Temme, N. M · 1986
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Noncentral Chi-Square: Some observations on recurrence
Cohen, J · 1988
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The calculation of the probability of detection and the generalized Marcum Q − {Q}- function
Shnidman, D. A · 1989
Cited alongside, same era.
On the computation of noncentral chi-square distribution function
Ashour, S. K · 1990
Cited alongside, same era.
Computing the generalized Marcum Q − Q- function
Helstrom, C · 1992
Cited alongside, same era.
Asymptotic and numerical aspects of the noncentral chi-square distribution
Temme, N. M · 1993
Cited alongside, same era.
Computation of the noncentral gamma distribution
Knüsel, L · 1996
Cited alongside, same era.
Algorithm for calculating the noncentral chi-square distribution
Ross, A. H. M · 1999
Cited alongside, same era.
Evaluating the noncentral chi-square distribution for the Cox-Ingersoll-Ross process
Dyrting, S · 2004
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Numerical methods for special functions
Gil, A · 2007
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Incomplete gamma and related functions
Paris, R. B · 2010
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Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios
Gil, A · 2012
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Recent software developments for special functions in the Santander-Amsterdam project
Gil, A · 2013
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Uniform asymptotic expansions for saddle point integrals—application to a probability distribution occurring in noise theory
Rice, S. O · 2013
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Monotonicity results and inequalities for the gamma and incomplete gamma functions
Qi, F · 2002
Cited alongside, same era.