Rayleigh Confidence Regions based on Record Data
Authors
Abstract:
This paper presents exact joint confidence regions for the parameters of the Rayleigh distribution based on record data. By providing some appropriate pivotal quantities, we construct several joint confidence regions for the Rayleigh parameters. These joint confidence regions are useful for constructing confidence regions for functions of the unknown parameters. Applications of the joint confidence regions using two environmental data sets are presented for illustrative purposes. Finally, a simulation study is conducted to study the performance of the proposed joint confidence regions.
similar resources
Confidence interval for the two-parameter exponentiated Gumbel distribution based on record values
In this paper, we study the estimation problems for the two-parameter exponentiated Gumbel distribution based on lower record values. An exact confidence interval and an exact joint confidence region for the parameters are constructed. A simulation study is conducted to study the performance of the proposed confidence interval and region. Finally, a numerical example with real data set is gi...
full textJoint Confidence Regions
Confidence intervals are one of the most important topics in mathematical statistics which are related to statistical hypothesis tests. In a confidence interval, the aim is that to find a random interval that coverage the unknown parameter with high probability. Confidence intervals and its different forms have been extensively discussed in standard statistical books. Since the most of stati...
full textClassic and Bayes Shrinkage Estimation in Rayleigh Distribution Using a Point Guess Based on Censored Data
Introduction In classical methods of statistics, the parameter of interest is estimated based on a random sample using natural estimators such as maximum likelihood or unbiased estimators (sample information). In practice, the researcher has a prior information about the parameter in the form of a point guess value. Information in the guess value is called as nonsample information. Thomp...
full textExact confidence regions for species assignment based on DNA markers
Assignment of individuals to correct species or population of origin based on a comparison of allele profiles has in recent years become more accurate due to improvements in DNA marker technology. A method of assessing the error in such assignment problems is presented. The method is based on the exact hypergeometric distributions of contingency tables conditioned on marginal totals. The result...
full textA Simplified Derivation of Confidence Regions Based on Inferential Models
Recently, a new inferential models approach has been proposed for statistics. Specifically, this approach provides a new random-set-based way to come up with confidence regions. In this paper, we show that the confidence regions obtained by using the main version of this new methodology can also be naturally obtained directly, without invoking random sets. 1 Finding Confidence Regions: Formulat...
full textconfidence interval for the two-parameter exponentiated gumbel distribution based on record values
in this paper, we study the estimation problems for the two-parameter exponentiated gumbel distribution based on lower record values. an exact confidence interval and an exact joint confidence region for the parameters are constructed. a simulation study is conducted to study the performance of the proposed confidence interval and region. finally, a numerical example with real data set is given...
full textMy Resources
Journal title
volume 14 issue 2
pages 171- 188
publication date 2018-03
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023