Description Usage Arguments Details Value Author(s) References See Also Examples
Functions for the cusp distribution.
1 2 3 4 5 |
y |
vector of quantiles |
p |
vector of probabilities |
n |
number of observations. |
alpha |
normal/asymmetry factor value of cusp density |
beta |
bifurcation/splitting factor value of cusp density |
subdivisions |
See |
rel.tol |
See |
abs.tol |
See |
stop.on.error |
See |
aux |
See |
keep.order |
logical. If true the order of the output values is the same as those of the input values |
The cusp distribution is defined by
f(y) = Ψ \exp(α y + β y^2/2 - y^4/4),
where Ψ is the normalizing constant.
rcusp
uses rejection sampling to generate samples.
qcusp
implements binary search and is rather slow.
dcusp
gives the density function, pcusp
gives the distribution function, qcusp
gives the quantile function, and rcusp
generates observations.
Raoul Grasman
See cusp-package
, integrate
1 2 3 4 5 6 7 8 9 10 11 12 |
[1] 0.002845046
[1] 0.002802908
[1] 0.125
[1] 2.1138156 1.9084996 1.8499006 1.6034992 1.5848891 2.0834681 2.3916107
[8] 1.0866281 1.7517574 1.6765625 2.2128962 1.5584022 1.6858524 2.0065576
[15] 2.3930447 2.0962522 1.9312345 1.7188332 1.8070624 2.4178738 2.6019497
[22] 1.1982729 2.3058361 1.8649085 1.4937600 2.0810587 2.2697907 2.0907782
[29] 2.2422741 1.5142936 1.9870952 2.2982058 2.1015882 1.4886337 1.3218375
[36] 2.2317231 1.7744893 2.1898212 2.2524980 1.8559179 1.8925744 2.2491147
[43] 1.2760692 1.8087227 2.0390539 1.9257983 1.8861800 1.6982375 1.9365106
[50] 0.9044911 2.1400074 1.8417989 1.9140590 1.5411629 1.6419498 1.8637986
[57] 1.6510275 2.2721653 1.9993832 2.3107794 1.6903990 2.0327278 2.0954383
[64] 2.3418746 1.6046308 2.1668127 1.9220138 2.0955677 2.4186826 1.7756948
[71] 1.8581650 2.2021594 2.1512043 0.7712528 1.6645917 1.1029077 0.6741006
[78] 2.0401718 1.5528974 2.2235380 2.4811902 1.3320410 0.9765473 2.3920597
[85] 1.6180805 2.2532043 2.1089776 2.4993756 2.5361994 1.9522753 1.8550015
[92] 0.8666078 2.1456588 1.8160571 1.6351539 2.6908218 1.6379914 1.2809692
[99] 1.8909668 2.2637689
[1] -1.41808630 1.79161061 0.32945641 -0.40240001 0.04857878 -1.29911768
[7] 0.24326541 -1.30372793 -0.99968661 0.73655481 1.52609023 -0.35988342
[13] 0.06745068 -1.34125194 0.06861124 -0.47717889 -1.19219900 -1.93968854
[19] 0.91166941 1.36143411
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