Package 'LBPG'

Title: The Length-Biased Power Garima Distribution
Description: The Length-Biased Power Garima distribution for computes the probability density, the cumulative density distribution and the quantile function of the distribution, and generates sample values with random variables based on Kittipong and Sirinapa(2021)<DOI: 10.14456/sjst-psu.2021.89>.
Authors: Kittipong Klinjan [cre, aut], Onrampa Thepdaeng [aut], Tadaporn Sombunpen [aut], Atchanut Rattanalertnusorn [aut], Sirinapa Aryuyuen [aut]
Maintainer: Kittipong Klinjan <[email protected]>
License: GPL-3
Version: 0.1.2
Built: 2025-01-12 06:21:47 UTC
Source: https://github.com/cran/LBPG

Help Index


The probability density function of the length-biased power Garima distribution.

Description

The LBPG package computes the probability density, the cumulative density distribution and the quantile function of the length-biased power Garima (LBPG) distribution, and generates sample values with random variables that has the LBPG distribution.

Usage

dLBPG(x, lambda, beta)

Arguments

x

vector of positive quantile.

lambda

positive parameter(Transformed parameter).

beta

positive parameter(Shape parameter).

Value

dLBPG gives the probability density function.

References

Kittipong Klinjan and Sirinapa Aryuyuen(2021), The length-biased power Garima distribution and its application to model lifetime data,Songklanakarin Lournal of Science asd Techno;ogy (SJST),Volume 43 No.3(May - Jun. 2021),pp667-676, <DOI: 10.14456/sjst-psu.2021.89>

Examples

dLBPG(5.7,1.5,2.5)

The cumulative density function of the length-biased power Garima distribution.

Description

The LBPG package computes the probability density, the cumulative density distribution and the quantile function of the length-biased power Garima (LBPG) distribution, and generates sample values with random variables that has the LBPG distribution.

Usage

pLBPG(x, lambda, beta)

Arguments

x

vector of positive quantile.

lambda

positive parameters(Transformed parameter).

beta

positive parameters(Shape parameter).

Value

pLBPG gives the cumulative density function.

References

Kittipong Klinjan and Sirinapa Aryuyuen(2021), The length-biased power Garima distribution and its application to model lifetime data,Songklanakarin Lournal of Science asd Techno;ogy (SJST),Volume 43 No.3(May - Jun. 2021),pp667-676, <DOI: 10.14456/sjst-psu.2021.89>

Examples

pLBPG(0.5,1.5,2.5)

The quantile function of the length-biased power Garima distribution.

Description

The LBPG package computes the probability density, the cumulative density distribution and the quantile function of the length-biased power Garima (LBPG) distribution, and generates sample values with random variables that has the LBPG distribution.

Usage

qLBPG(p, alpha, beta)

Arguments

p

vector pf probabilities.

alpha

positive parameters(Transformed parameter).

beta

positive parameters(Shape parameter).

Value

qLBPG gives the quantile function.

References

Kittipong Klinjan and Sirinapa Aryuyuen(2021), The length-biased power Garima distribution and its application to model lifetime data,Songklanakarin Lournal of Science asd Techno;ogy (SJST),Volume 43 No.3(May - Jun. 2021),pp667-676, <DOI: 10.14456/sjst-psu.2021.89>

Examples

qLBPG(0.5,1.5,2.5)

Random number generating of the length-biased power Garima distribution

Description

The LBPG package computes the probability density, the cumulative density distribution and the quantile function of the length-biased power Garima (LBPG) distribution, and generates sample values with random variables that has the LBPG distribution.

Usage

rLBPG(n, alpha, beta)

Arguments

n

number of observations.If length(n)>1,the length is taken no be the number required.

alpha

positive parameters(Transformed parameter).

beta

positive parameters(Shape parameter).

Value

rLBPG generates sample values of random variables.

References

Kittipong Klinjan and Sirinapa Aryuyuen(2021), The length-biased power Garima distribution and its application to model lifetime data,Songklanakarin Lournal of Science asd Techno;ogy (SJST),Volume 43 No.3(May - Jun. 2021),pp667-676, <DOI: 10.14456/sjst-psu.2021.89>

Examples

rLBPG(5,1.5,1)