Smallest Confidence Region for the Mean and Standard Deviation of Two-Parameter Uniform Distribution
In this paper, based on an appropriate pivotal quantity, two methods are introduced to determine confidence region for the mean and standard deviation in a two parameter uniform distribution, in which the application of numerical methods is not mandatory. In the first method, the smallest region is obtained by minimizing the confidence regionchr('39')s area, and in the second method, a simultaneous Bonferroni confidence interval is introduced by using the smallest confidence intervals. By the comparison of area and coverage probability of the introduced methods, as well as, comparison of the width of strip including the standard deviation in both methods, it has been shown that the first method has a better efficiency. Finally, an approximation for the quantile of F
distribution used in calculating the confidence regions in a special case is presented.
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The parameter estimation methods for the exponential distribution under interval censored data; A comparison study
Nader Asadian, Mohamad Hossein Poursaeed *
Journal of Quality Engineering and Management, -
Improving the parameter estimation under interval-censored exponential lifetimes
Farkhondeh Sajadi, MohammadHossein Poursaeed *
Journal of Statistical Modelling: Theory and Applications, Summer and Autumn 2021