Description Usage Arguments Value Author(s) References Examples

`order_gbg`

is used to obtain a random sample of the k-th order statistic from a Generalized Beta G distribution and some associated quantities of interest.

1 |

`size` |
numeric, represents the size of the sample. |

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

`a` |
numeric, represents the first shape parameter. Default value is 1. |

`b` |
numeric, represents the second shape parameter. Default value is 1. |

`c` |
numeric, represents the third shape parameter. 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. |

A list with a random sample of order statistics from a Generalized 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.

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

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.

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Exponential Distribution
order_gbg(10,"exp",1,1,1,k=3,50,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Normal Distribution
order_gbg(10,"norm",1,1,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Log-normal Distribution
order_gbg(10,"lnorm",1,1,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Chi-square Distribution
order_gbg(10,"chisq",1,1,1,k=3,50,df=3)
``` |

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