Neutrosophic Weibull {ntsDists}

Neutrosophic Weibull Distribution

Description

Density, distribution function, quantile function and random generation for the neutrosophic Weibull distribution with scale parameter \alpha_N and shape parameter \beta_N.

Usage

dnsWeibull(x, shape, scale)

pnsWeibull(q, shape, scale, lower.tail = TRUE)

qnsWeibull(p, shape, scale)

rnsWeibull(n, shape, scale)

Arguments

x

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

shape

shape parameter, which must be a positive interval.

scale

scale 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(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 Rayleigh distribution with parameters \alpha_N and \beta_N has the density

f_N(x)=\frac{\beta_N}{\alpha_N^{\beta_N}} x^{\beta_N-1} \exp\{-\left(x / \alpha_N\right)^{\beta_N}\}

for \beta_N \in (\beta_L, \beta_U) the shape parameter must be a positive interval, \alpha_N \in (\alpha_L,\alpha_U), the scale parameter which be a positive interval, and x > 0.

Value

dnsWeibull gives the density function

pnsWeibull gives the distribution function

qnsWeibull gives the quantile function

rnsWeibull generates random variables from the neutrosophic Weibull dDistribution.

References

Alhasan, K. F. H. and Smarandache, F. (2019). Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution, Neutrosophic Sets and Systems, 28, 191-199.

Examples

data(remission)
dnsWeibull(x = remission, shape = c(1.0519, 1.0553), scale = c(9.3370, 9.4544))

pnsWeibull(q = 20, shape = c(1.0519, 1.0553), scale = c(9.3370, 9.4544))

# Calculate quantiles
qnsWeibull(p = c(0.25, 0.5, 0.75), shape = c(1.0519, 1.0553), scale = c(9.3370, 9.4544))

# Simulate 10 numbers
rnsWeibull(n = 10, shape = c(1.0519, 1.0553), scale = c(9.3370, 9.4544))