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. Author manuscript; available in PMC: 2018 Nov 2.
Published in final edited form as: Commun Stat Theory Methods. 2017 Jul 10;46(19):9834–9841. doi: 10.1080/03610926.2016.1222433

Table 3:

Computing time to obtain the 14 quantiles shown in Table 1 for the normal distribution and for the exponential and the chi-square distributions.

Computing time (second)
Distribution Method User System Elapsed
Normal (0,1) Approximation (1), h=0.0001 0.25 0 0.25
Approximation (1), h=0.00001 2.47 0 2.47
R function qnorm 0.00 0.00 0.29
Exponential (1) Approximation (1), h=0.0001 0.25 0 0.25
Approximation (1), h=0.00001 2.42 0 2.41
R function qexp 0 0 0
Central Chi-square Approximation (1), h=0.0001 0.75 0.00 0.75
    10 DF Approximation (1), h=0.00001 7.38 0.00 7.38
R function qchisq 0 0 0
Non-central Chi-square Approximation (1), h=0.0001 0.78 0.00 0.78
    10 DF Approximation (1), h=0.00001 7.70 0.02 7.71
    λ = 2 R function qchisq 0.01 0.00 0.02