Neutrosophic Laplace {ntsDists}

Neutrosophic Laplace (Double Exponential) Distribution

Description

Density, distribution function, quantile function, and random generation for the neutrosophic Laplace (Double Exponential) distribution with parameters location = \theta_N and scale = \beta_N.

Usage

dnsLaplace(x, location, scale)

pnsLaplace(q, location, scale, lower.tail = TRUE)

qnsLaplace(p, location, scale)

rnsLaplace(n, location, scale)

Arguments

x

a vector or matrix of observations for which the pdf needs to be computed.

location

the location parameter, which is the mean.

scale

the scale parameter, Must consist of positive values.

q

a vector or matrix of quantiles for which the cdf needs to be computed.

lower.tail

logical; if TRUE (default), probabilities are P(X \leq x); otherwise, P(X >x).

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 Laplace distribution with parameters \theta_N and \beta_N has density

f_N(x) = \frac{1}{2\beta_N} \exp\left\{-\frac{|x-\theta_N|}{\beta_N}\right\}

for -\infty < x < \infty, \theta_N \in (\theta_L, \theta_U), the location parameter, \beta_N \in (\beta_L, \beta_U), the scale parameter which be a positive interval.

Value

dnsLaplace gives the density function

pnsLaplace gives the distribution function

qnsLaplace gives the quantile function

rnsLaplace generates random values from the neutrosophic Laplace distribution.

References

Rahul, T., Malik, S. C., Raj, M. (2023). Neutrosophic Laplace Distribution with Application in Financial Data Analysis, Neutrosophic Sets and Systems, 57(1), 224-233.

Examples

dnsLaplace(x = c(4, 4.1), location = c(0.23, 0.24), scale = c(1, 2))
dnsLaplace(4, location = c(0.23, 0.24), scale = c(1, 2))


# The cumulative distribution function for the neutrosophic observation (4,4.1)
pnsLaplace(q = c(4, 4.1), location = c(0.23, 0.24), scale = c(1, 2))
# The first percentile
qnsLaplace(p = 0.1, location = 0.24, scale = 2)

# The quantiles
qnsLaplace(p = c(0.25, 0.5, 0.75), location = c(0.23, 0.24), scale = c(1, 2))

# Simulate 10 numbers
rnsLaplace(n = 10, location = c(0.23, 0.24), scale = c(1, 2))