Jeerapa Sappakitkamjorn and Sa-aat Niwitpong Confidence Intervals for the Coefficients of Variation with Bounded Parameters
1416 - 1421
2013
7
9
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/16718
http://waset.org/publications/81
World Academy of Science, Engineering and Technology
In many practical applications in various areas, such as engineering, science and social science, it is known that there exist bounds on the values of unknown parameters. For example, values of some measurements for controlling machines in an industrial process, weight or height of subjects, blood pressures of patients and retirement ages of public servants. When interval estimation is considered in a situation where the parameter to be estimated is bounded, it has been argued that the classical Neyman procedure for setting confidence intervals is unsatisfactory. This is due to the fact that the information regarding the restriction is simply ignored. It is, therefore, of significant interest to construct confidence intervals for the parameters that include the additional information on parameter values being bounded to enhance the accuracy of the interval estimation. Therefore in this paper, we propose a new confidence interval for the coefficient of variance where the population mean and standard deviation are bounded. The proposed interval is evaluated in terms of coverage probability and expected length via Monte Carlo simulation.
International Science Index 81, 2013