nwbl: Neutrosophic Weibull Distribution with Characteristics

Description

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

Usage

dnwbl(x, scale_l, scale_u, shape_l, shape_u)
pnwbl(q, scale_l, scale_u, shape_l, shape_u)
qnwbl(p, scale_l, scale_u, shape_l, shape_u)
rnwbl(n, scale_l, scale_u, shape_l, shape_u, stats = FALSE)
plot_npdfwbl(scale_l, scale_u, shape_l, shape_u, x = c(0, 5),
                         color.fill = "lightblue", color.line = "blue",
                         title = "PDF Neutrosophic Weibull Distribution",
                         x.label = "x", y.label = "Density")
plot_ncdfwbl(scale_l, scale_u, shape_l, shape_u, x = c(0, 5),
                         color.fill = "lightblue", color.line = "blue",
                         title = "CDF Neutrosophic Weibull Distribution",
                         x.label = "x", y.label = "Cumulative Probability")

Value

dnwbl returns the PDF values

pnwbl returns the lower tail CDF values.

qnwbl returns the quantile values

rnwbl return random values with summary statistics of the simulated data

plot_npdfwbl returns PDF plot at given values of distributional parameters

plot_ncdfwbl 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 Weibull distribution.
scale_u: A positive numeric value representing the upper bound of the scale parameter of the Neutrosophic Weibull distribution. This must be greater than or equal to rate_l.
shape_l: A positive numeric value representing the lower bound of the shape parameter of the Neutrosophic Weibull distribution.
shape_u: A positive numeric value representing the upper bound of the shape parameter of the Neutrosophic Weibull 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 Weibull 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 Weibull distribution. Moreover basic plots of PDF and CDF can be visualized.

References

Khan, Kahid; Gulistan, Muhammad; Lane-Krebs, Katrina; Salem, Sultan (2023). Neutrophasic Weibull model with applications to survival studies. CQUniversity, 25-42.doi:10.1016/B978-0-323-99456-9.00007-6

Examples

Run this code


# random number Generation with summary statistics

rnwbl(5, scale_l = 2, scale_u = 4, shape_l = 1, shape_u = 1, stats = TRUE)

# PDF values
x <- 2
scale_l <- 1
scale_u <- 2.0
shape_l<-0.5
shape_u<-2
dnwbl(x, scale_l, scale_u, shape_l, shape_u)

# CDF values
q <- 1.5
scale_l <- 1
scale_u <- 2.0
shape_l<-0.5
shape_u<-2.0
pnwbl(q, scale_l, scale_u, shape_l, shape_u)

# Quantile values

p <- 0.5
scale_l <- 1
scale_u <- 2.0
shape_l<-0.5
shape_u<-2
qnwbl(p, scale_l, scale_u, shape_l, shape_u)

# PDF PLOT
scale_l <- 1
scale_u <- 1
shape_l<-2
shape_u<-3
plot_npdfwbl(scale_l, scale_u, shape_l, shape_u, x = c(0, 5))

# CDF PLOT
scale_l <- 1
scale_u <- 1
shape_l<-2
shape_u<-3
plot_ncdfwbl(scale_l, scale_u, shape_l, shape_u, x = c(0, 5))

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