order_mbetag: Random Sampling of k-th Order Statistics from a Modified Beta...

Description Usage Arguments Value Author(s) References Examples

View source: R/order_mbetag.R

Description

order_mbetag is used to obtain a random sample of k-th order statistic from a Modified Beta G distribution.

Usage

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order_mbetag(size, spec, beta, a, b, k, n, alpha = 0.05, ...)

Arguments

size

numeric, represents the size of the sample.

spec

character, represents an specific G distribution. Possible values "norm", "exp","lnorm","chisq".

beta

numeric, represents the scale parameter. Default value is 1.

a

numeric, represents a shape parameter must be positive. Default value is 1.

b

numeric, represents a shape parameter must be positive. Default value is 1.

k

numeric, represents the Kth smallest value from a sample.

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 the G distribution.

Value

A list with a random sample of order statistics from a Modified Beta G 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.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

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library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Exponential Distribution
order_mbetag(10,"exp",1,1,1,k=3,50,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Normal Distribution
order_mbetag(10,"norm",1,1,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Log-normal Distribution
order_mbetag(10,"lnorm",1,1,1,k=3,50)

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

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