| Type: | Package |
| Title: | Functions for the Nakagami Distribution |
| Version: | 1.1.0 |
| Description: | Density, distribution function, quantile function and random generation for the Nakagami distribution of Nakagami (1960) <doi:10.1016/B978-0-08-009306-2.50005-4>. |
| License: | MIT + file LICENSE |
| Encoding: | UTF-8 |
| Imports: | assertthat |
| Suggests: | testthat, knitr, covr, rmarkdown |
| RoxygenNote: | 7.1.1 |
| URL: | https://github.com/JonasMoss/nakagami |
| BugReports: | https://github.com/JonasMoss/nakagami/issues |
| NeedsCompilation: | no |
| Packaged: | 2021-09-14 07:55:53 UTC; A2010578 |
| Author: | Jonas Moss  [aut,
cre] |
| Maintainer: | Jonas Moss <jonas.gjertsen@gmail.com> |
| Repository: | CRAN |
| Date/Publication: | 2021-09-14 08:10:02 UTC |
The Nakagami Density
Description
Density, distribution function, quantile function and random generation for
the Nakagami distribution with parameters shape and scale.
Usage
dnaka(x, shape, scale, log = FALSE)
pnaka(q, shape, scale, lower.tail = TRUE, log.p = FALSE)
qnaka(p, shape, scale, lower.tail = TRUE, log.p = FALSE)
rnaka(n, shape, scale)
Arguments
x, q |
vector of quantiles. |
shape |
vector of positive shape parameters. |
scale |
vector of positive scale parameters. |
log, log.p |
logical; if |
lower.tail |
logical; if |
p |
vector of probabilities. |
n |
number of observations. If |
Details
The Nakagami distribution (Nakagami, 1960) with shape m and scale
\Omega has density
2m^m/{\Gamma(m)\Omega^m} x^(2m-1)e^(-m/\Omega x^2)
for
x \ge 0, m > 0 and \Omega > 0.
If Y is Gamma distributed with shape = m and
rate = m/\Omega then X = \sqrt Y is Nakagami distributed
with shape = m and scale = \Omega.
Sometimes, specifically in radio channels modeling, the parameter m is
constrained to m \ge 1/2, but the density is defined for any
m > 0 (Kolar et al., 2004).
Value
dnaka gives the density, pnaka gives the distribution function,
qnaka gives the quantile function and rnaka generates random deviates.
The length of the result is determined by n for rnaka, and is the
maximum of the lengths of the numerical arguments for the other functions.
The numerical arguments other than n are recycled to the length of the
result.
References
Nakagami, N. 1960. "The M-Distribution, a General Formula of Intensity of Rapid Fading." In Statistical Methods in Radio Wave Propagation: Proceedings of a Symposium Held at the University of California, edited by William C. Hoffman, 3-36. Permagon Press.
Kolar, R., Jirik, R., & Jan, J. (2004). Estimator comparison of the Nakagami-m parameter and its application in echocardiography. Radioengineering, 13(1), 8-12.
See Also
The Gamma distribution is closed related to the Nakgami distribution.
Suppress object length incompatibility warnings
Description
Suppress object length incompatibility warnings
Usage
suppress_olw(expr)
Arguments
expr |
expression to be evaluated. |