Beta
314531

Statistical Inference for Generalized log Burr Distribution

Article

Last updated: 28 Dec 2024

Subjects

-

Tags

-

Abstract

In this article, statistical inference for the generalized log Burr type-XII distribution is considered. Reparametrizing the generalized log Burr type XII distribution gives a location-scale model. The inference procedures include two-sided interval estimation for the location and scale parameters and one-sided (lower) tolerance bounds for percentiles. The standard approximate intervals,  for a parameter  that are based on the normal approximation of the maximum likelihood estimators are widely used when the sample size is large enough. However, they are often inaccurate for small samples. In this article four bootstrap methods are used to obtain improvements over the standard intervals for the generalized log Burr type- XII distribution. Numerical comparisons via simulation studies are presented. The results suggest the preference of the bootstrap intervals to the standard ones for small and moderate sample sizes. In particular, the bootstrap-t is found to be superior to all other methods in terms of coverage.

DOI

10.21608/esju.1999.314531

Keywords

Bootstrap Methods, Interval Estimation, Generalized Log Burr Distribution, Location-Scale Model, Reparameterization, Statistical Inference

Volume

43

Article Issue

2

Related Issue

43140

Issue Date

1999-12-01

Publish Date

1999-12-01

Page Start

209

Page End

222

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314531.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314531

Order

9

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Statistical Inference for Generalized log Burr Distribution

Details

Type

Article

Created At

28 Dec 2024