Neutrosophic Rayleigh {ntsDists} | R Documentation |
Neutrosophic Rayleigh Distribution
Description
Density, distribution function, quantile function and random
generation for the neutrosophic Rayleigh distribution with
parameter \theta_N
.
Usage
dnsRayleigh(x, theta)
pnsRayleigh(q, theta, lower.tail = TRUE)
qnsRayleigh(p, theta)
rnsRayleigh(n, theta)
Arguments
x |
a vector or matrix of observations for which the pdf needs to be computed. |
theta |
the shape parameter, which must be a positive interval. |
q |
a vector or matrix of quantiles for which the cdf needs to be computed. |
lower.tail |
logical; if TRUE (default), probabilities are
|
p |
a vector or matrix of probabilities for which the quantile needs to be computed. |
n |
number of random values to be generated. |
Details
The neutrosophic Rayleigh distribution with parameter \theta_N
has the density
f_N(x)=\frac{x}{\theta_N^2} \exp\{-\frac{1}{2}\left(\frac{x}{\theta_N}\right)^2\}
for \theta_N \in (\theta_L, \theta_U)
, which must be a positive
interval and x \ge 0
.
Value
dnsRayleigh
gives the density function
pnsRayleigh
gives the distribution function
qnsRayleigh
gives the quantile function
rnsRayleigh
generates random variables from the Neutrosophic Rayleigh Distribution.
References
Khan, Z., Gulistan, M., Kausar, N. and Park, C. (2021). Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications, in IEEE Access, 9, 71277-71283.
Examples
data(remission)
dnsRayleigh(x = remission, theta = c(9.6432, 9.8702))
pnsRayleigh(q = 20, theta = c(9.6432, 9.8702))
# Calculate quantiles
qnsRayleigh(p = c(0.25, 0.5, 0.75), theta = c(9.6432, 9.8702))
# Simulate 10 values
rnsRayleigh(n = 10, theta = c(9.6432, 9.8702))