A1SecondDerivative: Second derivative of the Ratio of First and Zeroth Order...
In circular: Circular Statistics
View source: R/A1SecondDerivative.R
A1SecondDerivative R Documentation
Second derivative of the Ratio of First and Zeroth Order Bessel Functions.
Description
Evaluates the second derivative of the second derivative of the Ratio of First and Zeroth Order Bessel Functions.
Usage
A1SecondDerivative(kappa)
Arguments
kappa
non-negative numeric value at which to evaluate the second derivative of A1 function.
Details
Formula (3.49) of Fisher (1993), pag. 52 is implemented.
The function uses A1, A1FirstDerivative and besselI.
Value
The value of the second derivative of A1 function in the point kappa.
Author(s)
Claudio Agostinelli and Alessandro Gagliardi.
References
N.I. Fisher (1993) Statistical Analysis of Circular Data, Cambridge University Press.
See Also
A1, A1FirstDerivative, besselI, A1inv.
circular documentation built on Sept. 11, 2024, 8:21 p.m.
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View source: R/A1SecondDerivative.R
| A1SecondDerivative | R Documentation |
Second derivative of the Ratio of First and Zeroth Order Bessel Functions.
Description
Evaluates the second derivative of the second derivative of the Ratio of First and Zeroth Order Bessel Functions.
Usage
A1SecondDerivative(kappa)
Arguments
kappa |
non-negative numeric value at which to evaluate the second derivative of A1 function. |
Details
Formula (3.49) of Fisher (1993), pag. 52 is implemented.
The function uses A1, A1FirstDerivative and besselI.
Value
The value of the second derivative of A1 function in the point kappa.
Author(s)
Claudio Agostinelli and Alessandro Gagliardi.
References
N.I. Fisher (1993) Statistical Analysis of Circular Data, Cambridge University Press.
See Also
A1, A1FirstDerivative, besselI, A1inv.
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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