Neutrosophic Discrete Uniform {ntsDists}

Neutrosophic Discrete Uniform Distribution

Description

Density, distribution function, quantile function and random generation for the neutrosophic discrete uniform distribution with parameter k_N.

Usage

dnsDiscUnif(x, k)

pnsDiscUnif(q, k, lower.tail = TRUE)

qnsDiscUnif(p, k)

rnsDiscUnif(n, k)

Arguments

x

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

k

parameter of the distribution that must be a positive finite 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

Let X_N be a neutrosophic random variable and denote X_N \sim \mathcal{DU}(1,2,\ldots,k_N) as neutrosophic discrete uniform distribution with parameter k_N has the density

f_N(x)=\frac{1}{k_N}

for k_N \in (k_L, k_U).

Value

dnsDiscUnif gives the probability mass function,

pnsDiscUnif gives the distribution function

qnsDiscUnif gives the quantile function

rnsDiscUnif generates random variables from the neutrosophic Discrete Uniform Distribution.

References

Granados, C. (2022). Some discrete neutrosophic distributions with neutrosophic parameters based on neutrosophic random variables. Hacettepe Journal of Mathematics and Statistics, 51(5), 1442-1457.

Examples

dnsDiscUnif(x = 8, k = c(10, 11))
dnsDiscUnif(x = c(8, 9), k = c(10, 11))

pnsDiscUnif(q = 2, k = c(10, 11))

qnsDiscUnif(p = 0.2, k = c(10, 11))


# Simulate 10 numbers
rnsDiscUnif(n = 10, k = c(10, 11))