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The aim is to develop an R package, which is new.dist package, forthe probability (density) function, the distribution function, thequantile function and the associated random number generation functionfor discrete and continuous distributions, which have recently beenproposed in the literature. This package implements the followingdistributions: The Power Muth Distribution, A bimodal WeibullDistribution, The Discrete Lindley Distribution 1, The Discrete LindleyDistribution 2, The Gamma-Lomax Distribution, Weighted GeometricDistribution, A Power Log-Dagum Distribution, Kumaraswamy Distribution,Lindley Distribution, Ram Awadh Distribution, The Unit-Inverse GaussianDistribution, EP Distribution, Akash Distribution, Ishita Distribution,Maxwell Distribution, The Standard Omega Distribution, SlashedGeneralized Rayleigh Distribution, Two-Parameter Rayleigh Distribution,Muth Distribution, Uniform-Geometric Distribution, Discrete WeibullDistribution.

Installation

You can install the development version of new.dist from [GitHub][https://github.com/]with:

# install.packages("devtools")devtools::install_github("akmn35/new.dist")

Details

new.dist Density, distribution function, quantilefunction and random generation for parameter estimation ofdistributions.

Example

dbwd Density function for Bimodal Weibull distributionwith shape (alpha) and scale (beta) parameters.

library(new.dist)dbwd(1,alpha=2,beta=3,sigma=4)#> [1] 0.01594262

pbwd Distribution function for Bimodal Weibulldistribution with shape (alpha) and scale (beta) parameters.

library(new.dist)pbwd(1,alpha=2,beta=3,sigma=4)#> [1] 0.003859685

qbwd Quantile function for Bimodal Weibull distributionwith shape (alpha) and scale (beta) parameters.

library(new.dist)qbwd(.7,alpha=2,beta=3,sigma=4)#> [1] 4.759942

rbwd Random generation for a Bimodal Weibulldistribution with shape (alpha) and scale (beta) parameters.

library(new.dist)rbwd(5,alpha=2,beta=3,sigma=4)#> [1] 5.787403 3.062926 2.560047 3.406179 2.344262

dsgrd Density function for a Slashed GeneralizedRayleigh distribution with shape (alpha), scale (theta) andkurtosis(beta) parameters.

library(new.dist)dsgrd(2,theta=3,alpha=1,beta=4)#> [1] 0.08314235

psgrd Distribution function for a Slashed GeneralizedRayleigh distribution with shape (alpha), scale (theta) and kurtosis(beta) parameters.

library(new.dist)psgrd(5,theta=3,alpha=1,beta=4)#> [1] 0.9989333

qsgrd Quantile function for a Slashed GeneralizedRayleigh distribution with shape (alpha), scale (theta) and kurtosis(beta) parameters.

library(new.dist)qsgrd(.4,theta=3,alpha=1,beta=4)#> [1] 0.8358487

rsgrd Random generation for a Slashed GeneralizedRayleigh distribution with shape (alpha), scale (theta) and kurtosis(beta) parameters.

library(new.dist)rsgrd(5,theta=3,alpha=1,beta=4)#> [1] 0.9162424 2.2939520 0.9160551 0.7168782 1.2676308

dsod Density function for a the Standard Omegadistribution with alpha and beta parameters.

library(new.dist)dsod(0.4,alpha=1,beta=2)#> [1] 0.6986559

psod Distribution function for a the Standard Omegadistribution with alpha and beta parameters.

library(new.dist)psod(0.4,alpha=1,beta=2)#> [1] 0.1490371

qsod Quantile function for a the Standard Omegadistribution with alpha and beta parameters.

library(new.dist)qsod(.8,alpha=1,beta=2)#> [1] 0.9607689

rsod Random generation for a the Standard Omegadistribution with alpha and beta parameters.

library(new.dist)rsod(5,alpha=1,beta=2)#> [1] 0.9626043 0.6029560 0.8908171 0.9719128 0.6324489

dugd Density function for the Uniform-Geometricdistribution with theta parameter.

library(new.dist)dugd(1,theta=0.5)#> [1] 0.6931472

pugd Distribution function for the Uniform-Geometricdistribution with theta parameter.

library(new.dist)pugd(1,theta=.5)#> [1] 0.6931472

qugd Quantile function for the Uniform-Geometricdistribution with theta parameter.

library(new.dist)qugd(0.6,theta=.1)#> [1] 4

rugd Random generation for the Uniform-Geometricdistribution with theta parameter.

library(new.dist)rugd(5,theta=.1)#> [1]  1 13 13  5  9

dtpmd Density function for the Power Muth distributionwith shape (beta) and scale (alpha) parameters.

library(new.dist)dtpmd(1,beta=2,alpha=3)#> [1] 0.04952547

ptpmd Distribution function for the Power Muthdistribution shape (beta) and scale (alpha) parameters.

library(new.dist)ptpmd(1,beta=2,alpha=3)#> [1] 0.008115344

qtpmd Quantile function for the Power Muth distributionwith shape (beta) and scale (alpha) parameters.

library(new.dist)qtpmd(.5,beta=2,alpha=3)#> [1] 1.990084

rtpmd Random generation for the Power Muth distributionwith shape (beta) and scale (alpha) parameters.

library(new.dist)rtpmd(5,beta=2,alpha=3)#> [1] 1.806067 1.668991 1.865928 1.775550 1.721437

dtprd Density function for the Two-Parameter Rayleighdistribution with location (mu) and scale (lambda) parameters.

library(new.dist)dtprd(5,lambda=4,mu=4)#> [1] 0.1465251

ptprd Distribution function for Two-Parameter Rayleighdistribution with location (mu) and scale (lambda) parameters.

library(new.dist)ptprd(2,lambda=2,mu=1)#> [1] 0.8646647

qtprd Quantile function for Two-Parameter Rayleighdistribution with location (mu) and scale (lambda) parameters.

library(new.dist)qtprd(.5,lambda=2,mu=1)#> [1] 1.588705

rtprd Random generation for Two-Parameter Rayleighdistribution with location (mu) and scale (lambda) parameters.

library(new.dist)rtprd(5,lambda=2,mu=1)#> [1] 2.137743 1.385888 1.788912 1.696368 1.783938

duigd Density function for the Unit Inverse Gaussiandistribution with mean (mu) and scale (lambda) parameters.

library(new.dist)duigd(1,mu=2,lambda=3)#> [1] 0.4749088

puigd Distribution function for the Unit InverseGaussian distribution with mean (mu) and scale (lambda) parameters.

library(new.dist)puigd(1,mu=2,lambda=3)#> [1] 0.2873867

quigd Quantile function for the Unit Inverse Gaussiandistribution with mean (mu) and scale (lambda) parameters.

library(new.dist)quigd(.1,mu=2,lambda=3)#> [1] 0.6104128

ruigd Random generation for the Unit Inverse Gaussiandistribution with mean (mu) and scale (lambda) parameters.

library(new.dist)ruigd(5,mu=2,lambda=3)#> [1] 1.7037855 2.8067345 0.8597714 0.7931621 1.0315418

dwgd Density function for the Weighted Geometricdistribution with alpha and lambda parameters.

library(new.dist)dwgd(1,alpha=.2,lambda=3)#> [1] 0.79872

pwgd Distribution function for the Weighted Geometricdistribution with alpha and lambda parameters.

library(new.dist)dwgd(1,alpha=.2,lambda=3)#> [1] 0.79872

qwgd Quantile function for the Weighted Geometricdistribution with alpha and lambda parameters.

library(new.dist)qwgd(.98,alpha=.2,lambda=3)#> [1] 3

rwgd Random generation for the Weighted Geometricdistribution with alpha and lambda parameters.

library(new.dist)rwgd(5,alpha=.2,lambda=3)#> [1] 1 1 3 1 2

ddLd1 Density function for the Discrete Lindleydistribution 1 with theta parameter.

library(new.dist)ddLd1(1,theta=2)#> [1] 0.1828223

pdLd1 Distribution function for the Discrete Lindleydistribution 1 with theta parameter.

library(new.dist)ddLd1(1,theta=2)#> [1] 0.1828223

qdLd1 Quantile function for the Discrete Lindleydistribution 1 with theta parameter.

library(new.dist)qdLd1(.993,theta=2)#> [1] 3

rdLd1 Random generation for the Discrete Lindleydistribution 1 with theta parameter.

library(new.dist)rdLd1(5,theta=1)#> [1] 0 2 0 2 0

library(new.dist)dmd(1,theta=2)#> [1] 0.4839414

pmd Distribution function for a Maxwell distributionwith scale (theta) parameter.

library(new.dist)pmd(1,theta=2)#> [1] 0.198748

library(new.dist)qmd(.4,theta=5)#> [1] 2.161694

library(new.dist)rmd(5,theta=1)#> [1] 0.9270855 2.2550202 1.2018527 0.9012689 1.6375431

dkd Density function for Kumaraswamy distribution withshape (alpha, lambda) parameters.

library(new.dist)dkd(0.1,lambda=2,alpha=3)#> [1] 0.58806

pkd Distribution function for Kumaraswamy distributionwith shape (alpha, lambda) parameters.

library(new.dist)dkd(0.1,lambda=2,alpha=3)#> [1] 0.58806

qkd Quantile function for Kumaraswamy distribution withshape (alpha, lambda) parameters.

library(new.dist)pkd(0.5,lambda=2,alpha=3)#> [1] 0.578125

rkd Random generation for Kumaraswamy distribution withshape (alpha, lambda) parameters.

library(new.dist)rkd(5,lambda=2,alpha=3)#> [1] 0.6415521 0.5272059 0.2329670 0.4351743 0.5657495

dgld Density function for the Gamma-Lomax distributionwith shape (a, alpha) and scale (beta) parameters.

library(new.dist)dgld(1,a=2,alpha=3,beta=4)#> [1] 0.2056491

pgld Distribution function for the Gamma-Lomaxdistribution with shape (a, alpha) and scale (beta) parameters.

library(new.dist)dgld(1,a=2,alpha=3,beta=4)#> [1] 0.2056491

qgld Quantile function for the Gamma-Lomax distributionwith shape (a, alpha) and scale (beta) parameters.

library(new.dist)qgld(.8,a=2,alpha=3,beta=4)#> [1] 6.852518

rgld Random generation for the Gamma-Lomax distributionwith shape (a, alpha) and scale (beta) parameters.

library(new.dist)rgld(5,a=2,alpha=3,beta=4)#> [1] 2.8217781 5.5886484 8.4958716 0.9864014 2.1699043

ddLd2 Density function for a Discrete Lindleydistribution 2 with theta parameter.

library(new.dist)ddLd2(2,theta=2)#> [1] 0.03530023

pdLd2 Distribution function for a Discrete Lindleydistribution 2 with theta parameter.

library(new.dist)pdLd2(1,theta=2)#> [1] 0.9572635

qdLd2 Quantile function for a Discrete Lindleydistribution 2 with theta parameter.

library(new.dist)qdLd2(.5,theta=2)#> [1] 0

rdLd2 Random generation for a Discrete Lindleydistribution 2 with theta parameter.

library(new.dist)rdLd2(5,theta=1)#> [1] 3 0 1 0 0

library(new.dist)dEPd(1,lambda=2,beta=3)#> [1] 0.05165063

pEPd Distribution function for the EP distribution withlambda and beta parameters.

library(new.dist)pEPd(1,lambda=2,beta=3)#> [1] 0.9836125

qEPd Quantile function for the EP distribution withlambda and beta parameters.

library(new.dist)qEPd(.8,lambda=2,beta=3)#> [1] 0.295895

rEPd Random generation for the EP distribution withlambda and beta parameters.

library(new.dist)rEPd(5,lambda=2,beta=3)#> [1] 0.08754699 0.01152708 0.27621565 0.12618652 0.18547342

dRA Density function for a Ram Awadh distribution withscale (theta) parameter.

library(new.dist)dRA(1,theta=2)#> [1] 0.1412194

pRA Distribution function for a Ram Awadh distributionwith scale (theta) parameter.

library(new.dist)pRA(1,theta=2)#> [1] 0.3115553

qRA Quantile function for a Ram Awadh distribution withscale (theta) parameter.

library(new.dist)dRA(.8,theta=2)#> [1] 0.163461

rRA Random generation for a Ram Awadh distribution withscale (theta) parameter.

library(new.dist)rRA(5,theta=2)#> [1] 0.9774141 2.8355960 1.9192415 4.0137512 2.5296763

library(new.dist)domd(1,alpha=.2)#> [1] 0.4123689

library(new.dist)pomd(1,alpha=.2)#> [1] 0.596272

library(new.dist)qomd(.8,alpha=.2)#> [1] 1.637047

library(new.dist)romd(5,alpha=.2)#> [1] 2.291542 1.144422 1.345481 2.172140 1.377844

dpldd Density function for a Power Log Dagumdistribution with alpha, beta and theta parameters.

library(new.dist)dpldd(1,alpha=2,beta=3,theta=4)#> [1] 0.1766842

ppldd Distribution function for a Power Log Dagumdistribution with alpha, beta and theta parameters.

library(new.dist)ppldd(1,alpha=2,beta=3,theta=4)#> [1] 0.9742603

qpldd Quantile function for a Power Log Dagumdistribution with alpha, beta and theta parameters.

library(new.dist)qpldd(.8,alpha=2,beta=3,theta=4)#> [1] 0.6109249

rpldd Random generation for a Power Log Dagumdistribution with alpha, beta and theta parameters.

library(new.dist)rpldd(5,alpha=2,beta=3,theta=4)#> [1]  0.05775973 -0.28725832  0.53623427  0.64797737  0.01620600

library(new.dist)dLd(1,theta=2)#> [1] 0.3608941

library(new.dist)pLd(1,theta=2)#> [1] 0.7744412

library(new.dist)qLd(.5,theta=2)#> [1] 0.4872058

library(new.dist)rLd(5,theta=1)#> [1] 0.3935864 1.7494001 0.2860219 1.1050805 1.8812775

Corresponding Author

Department of Statistics, Faculty of Science, Selcuk University,42250, Konya, Turkey
Email:coskun@selcuk.edu.tr

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