# Generalized Confidence Interval for the Common Coefficient of Variation

@article{Behboodian2014GeneralizedCI, title={Generalized Confidence Interval for the Common Coefficient of Variation}, author={Javad Behboodian and Ali Akbar Jafari}, journal={arXiv: Statistics Theory}, year={2014} }

In this article, we consider the problem of constructing the confidence interval and testing hypothesis for the common coefficient of variation (CV) of several normal populations. A new method is suggested using the concepts of generalized p-value and generalized confidence interval. Using this new method and a method proposed by Tian (2005), we obtain a shorter confidence interval for the common CV. This combination method has good properties in terms of length and coverage probability…

## 4 Citations

### Inferences on the Coefficients of Variation in a Multivariate Normal Population

- Mathematics
- 2015

In this article, the problem of testing the equality of coefficients of variation in a multivariate normal population is considered, and an asymptotic approach and a generalized p-value approach…

### Small sample inference for the common coefficient of variation

- MathematicsCommun. Stat. Simul. Comput.
- 2020

The modified signed log-likelihood ratio method is utilizes for both the problem of hypothesis testing and constructing a confidence interval for this parameter and is very satisfactory regardless of the number of populations and the different values of the common coefficient of variation even for very small sample size.

### Generalized Confidence Intervals for Intra- and Inter-subject Coefficients of Variation in Linear Mixed-effects Models

- MathematicsThe international journal of biostatistics
- 2017

This article proposes methods for computing confidence intervals for intra- and inter-subject coefficients of variation using generalized pivotal quantities and investigates coverage of generalized confidence intervals through simulation and shown to be close to the nominal value.

### Bayesian computation for the common coefficient of variation of delta-lognormal distributions with application to common rainfall dispersion in Thailand

- Environmental SciencePeerJ
- 2022

Rainfall fluctuation makes precipitation and flood prediction difficult. The coefficient of variation can be used to measure rainfall dispersion to produce information for predicting future rainfall,…

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