nlap: Neutrosophic Laplace Distribution with Characteristics

Description

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

Usage

dnlap(x, scale_l, scale_u, location_l, location_u)
pnlap(q, scale_l, scale_u, location_l, location_u)
qnlap(p, scale_l, scale_u, location_l, location_u)
rnlap(n, scale_l, scale_u, location_l, location_u, stats = FALSE)
plot_npdflap(scale_l, scale_u, location_l, location_u, x = c(0, 5),
                         color.fill = "lightblue", color.line = "blue",
                         title = "PDF Neutrosophic Laplace Distribution",
                         x.label = "x", y.label = "Density")
plot_ncdflap(scale_l, scale_u, location_l, location_u, x = c(0, 5),
                         color.fill = "lightblue", color.line = "blue",
                         title = "CDF Neutrosophic Laplace Distribution",
                         x.label = "x", y.label = "Cumulative Probability")

Value

dnlap returns the PDF values

pnlap returns the lower tail CDF values.

qnlap returns the quantile values

rnlap return random values with summary statistics of the simulated data

plot_npdflap returns PDF plot at given values of distributional parameters

plot_ncdflap returns CDF plot at given values of distributional parameters

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 Laplace distribution.
scale_u: A positive numeric value representing the upper bound of the scale parameter of the Neutrosophic Laplace distribution. This must be greater than or equal to rate_l.
location_l: A positive numeric value representing the lower bound of the location parameter of the Neutrosophic Laplace distribution.
location_u: A positive numeric value representing the upper bound of the location parameter of the Neutrosophic Laplace distribution.
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 Laplace 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 Laplace distribution. Moreover basic plots of PDF and CDF can be visualized.

References

Musa A, Khan Z. (2024). Neutrosophic Laplace Distribution with Properties and Applications in Decision Making. International Journal of Neutrosophic Science, 2024, 73-84. doi:10.54216/IJNS.230106.

Examples

Run this code


# random number Generation with summary statistics

rnlap(10, scale_l = 2, scale_u = 4, location_l = 1, location_u = 1, stats = TRUE)

# PDF values
x <- 2
scale_l <- 0.5
scale_u <- 1
location_l<-0
location_u<-0
dnlap(x, scale_l, scale_u, location_l, location_u)

# CDF values
q <- 1.5
scale_l <- 1
scale_u <- 2
location_l<-0
location_u<-0
pnlap(q, scale_l, scale_u, location_l, location_u)

# Quantile values

p <- 0.1
scale_l <- 0.5
scale_u <- 0.7
location_l<-0
location_u<-0
qnlap(p, scale_l, scale_u, location_l, location_u)

# PDF PLOT
scale_l <- 0.5
scale_u <- 1
location_l<-0
location_u<-0
plot_npdflap(scale_l, scale_u, location_l, location_u, x = c(-5, 5))

# CDF PLOT
scale_l <- 0.5
scale_u <- 1
location_l<-0
location_u<-0
plot_ncdflap(scale_l, scale_u, location_l, location_u, x = c(-5, 5))

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