neutrostat (version 0.0.2)

nray: Neutrosophic Rayleigh Distribution with Characteristics

Description

Computes various properties of the Neutrosophic Rayleigh distribution, including its density, cumulative distribution function (CDF), quantiles,random numbers with summary statistics,PDF and CDF plots of the distribution.

Usage

dnray(x, scale_l, scale_u)
pnray(q, scale_l, scale_u)
qnray(p, scale_l, scale_u)
rnray(n, scale_l, scale_u, stats=FALSE)
plot_npdfray(scale_l, scale_u, x = c(0, 5),color.fill = "lightblue", color.line = "blue",
                         title = "PDF Neutrosophic Rayleigh Distribution",
                         x.label = "x", y.label = "Density")
plot_ncdfray(scale_l, scale_u, x = c(0, 5),color.fill = "lightblue", color.line = "blue",
                         title = "CDF Neutrosophic Rayleigh Distribution",
                         x.label = "x", y.label = "Cumulative Probability")

Value

dnray returns the PDF values

pnray returns the lower tail CDF values

qnray returns the quantile values

rnray return random values with summary statistics of the simulated data

plot_npdfexp returns PDF plot at given values of scale parameter

plot_ncdfexp returns CDF plot at given values of scale parameter

Arguments

x

A numeric vector of observations for which the function will compute the corresponding distribution values.

n

number of random generated values

scale_l

A positive numeric value representing the lower bound of the scale parameter of the Neutrosophic Rayleigh distribution.

scale_u

A positive numeric value representing the upper bound of the scale parameter of the Neutrosophic Rayleigh distribution. This must be greater than or equal to scale_l.

p

A vector of probabilities for which the function will compute the corresponding quantile values

q

A vector of quantiles for which the function will compute the corresponding CDF values

stats

Logical; if TRUE, the function returns summary statistics of the generated random data (e.g., mean, standard deviation, quantiles, skewness, and kurtosis).

color.fill

A string representing the color for neutrosophic region.

color.line

A string representing the color used for the line of the PDF or CDF in the plots.

title

A string representing the title of the plot.

x.label

A string representing the label for the x-axis.

y.label

A string representing the label for the y-axis.

Author

Zahid Khan

Details

The function computes various properties of the Neutrosophic Rayleigh distribution. Depending on the function variant used (e.g., density, CDF, quantiles), it will return the corresponding statistical measure for each input value of x in case of random number generation from Neutrosophic Rayleigh distribution. Moreover basic plots of PDF and CDF can be visualized.

References

Khan, Z., Gulistan, M., Kausar, N., Park, C. (2021). Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications. IEEE Access, 9, 71277-71283. doi:10.1109/ACCESS.2021.3078150.

Examples

# random number with summary statistics
rnray(10, scale_l=2, scale_u=4, stats = TRUE)

# PDF values
x <- c(1, 2, 3)  # Values at which to evaluate the PDF
scale_l <- 0.5
scale_u <- 2.0
dnray(x, scale_l, scale_u)

# CDF values
q <- c(2, 3, 3.5)
scale_l <- 0.5
scale_u <- 2.0
pnray(q, scale_l, scale_u)

# Quantile values

p <- 0.5    # Probability at which to evaluate the quantile
scale_l <- 0.5
scale_u <- 2.0
qnray(p, scale_l, scale_u)

# PDF PLOT

scale_l <- 0.5  # Minimum rate
scale_u <- 2  # Maximum rate
plot_npdfray(scale_l, scale_u, x = c(0, 3))

# CDF PLOT

scale_l <- 0.5  # Minimum rate
scale_u <- 2.0  # Maximum rate
plot_ncdfray(scale_l, scale_u, x = c(0, 3),title = "")