order_snormal1: Random Sampling of k-th Order Statistics from a Skew normal...

Description Usage Arguments Value Author(s) References Examples

View source: R/order_snormal1.R

Description

order_snormal1 is used to obtain a random sample of the k-th order statistic from a Skew normal type 1 distribution and some associated quantities of interest.

Usage

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order_snormal1(size, k, mu, sigma, nu, tau, n, alpha = 0.05, ...)

Arguments

size

numeric, represents the size of the sample.

k

numeric, represents the Kth smallest value from a sample.

mu

numeric, represents the location parameter values.

sigma

numeric, represents scale parameter values.

nu

numeric, represents skewness parameter values

tau

numeric, represents kurtosis tau parameter values.

n

numeric, represents the size of the sample to compute the order statistic from.

alpha

numeric, (1 - alpha) represents the confidence of an interval for the population median of the distribution of the k-th order statistic. Default value is 0.05.

...

represents others parameters of a Skew normal type 1 distribution.

Value

A list with a random sample of order statistics from a Skew normal type 1 Distribution, the value of its join probability density function evaluated in the random sample and a (1 - alpha) confidence interval for the population median of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

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library(orders)
# A sample of size 10 of the 3-th order statistics from a Skew normal type 1 Distribution
order_snormal1(size=10,mu=0,sigma=1,nu=0,tau=2,k=3,n=50,alpha=0.02)

orders documentation built on July 17, 2021, 9:08 a.m.