1
Faculty of Statistics, Faculty of Mathematics, Khajeh Nasiruddin Toosi University
2
Master's student, Department of Statistics, Khajeh Nasiruddin Toosi University
Abstract
In this article, in order to obtain the shortest confidence interval or general confidence interval for quantiles of a normal distribution in the case of a single population, an axial quantity that has an eccentric t-distribution. In the case of two independent normal populations, we will create a confidence interval for the difference of quantiles based on the generalized axial quantity and introduce a simple method for obtaining its percentiles, based on which a shorter confidence interval can be obtained. Also, the performance of the presented methods will be examined using simulation and an applied example.
Malekzadeh, A. & Shahabi, R. (2019). Creating confidence intervals for normal distribution quantiles in one and two populations. Andishe_ye Amari, 23(2), 47-56.
MLA
Malekzadeh, A., & Shahabi, R. "Creating confidence intervals for normal distribution quantiles in one and two populations", Andishe_ye Amari, 23, 2, 2019, 47-56.
HARVARD
Malekzadeh A., Shahabi R. (2019). 'Creating confidence intervals for normal distribution quantiles in one and two populations', Andishe_ye Amari, 23(2), pp. 47-56.
CHICAGO
A. Malekzadeh & R. Shahabi, "Creating confidence intervals for normal distribution quantiles in one and two populations," Andishe_ye Amari, 23 2 (2019): 47-56,
VANCOUVER
Malekzadeh A., Shahabi R. Creating confidence intervals for normal distribution quantiles in one and two populations. Andishe_ye Amari. 2019;23(2):47-56 (In Persian).
