Article title: Simultaneous estimation of means of two sensitive variables
Authors: Zawar Hussain and Maryam Murtaza
Journal: Communications in Statistics—Theory and Methods
DOI: 10.1080/03610926.2018.1481981
Volume issue: 47 (2):324–343
There are two purposes of this corrigendum on the above mentioned article; to provide corrected expressions of , , and in Section 2, Theorem 2.3, at page 328, and to provide corrected numerical results of relative efficiency given in Table 2.2.1 (see Table 1 in supplementary material) at page 331 of the of the above mentioned article.
On page 328, in the proof of Theorem 2.3, authors used the following expressions.
(1) (1)
(2) (2)
Though, it is straightforward to derive the above expectations, Ahmed, Sedory, and Singh (Citation2018), perhaps, committed this error by chance. These expressions in Equations Equation(1)(1) (1) and Equation(2)(2) (2) should be corrected as
(3) (3)
(4) (4)
But again, in Section 2, Theorem 2.3, at page 328, using Equations Equation(1)(1) (1) and Equation(2)(2) (2) , the authors claimed that
and
(6) (6)
Again, the above expressions Equations Equation(5)(7) (7) and Equation(6)(7) (7) are incorrect and should be corrected as:
(7) (7)
(8) (8)
The simple error could have been ignored by taking it a typographical mistake but at page 331, using Equations Equation(1)(1) (1) , Equation(2)(2) (2) , Equation(5)(6) (6) , and Equation(6)(6) (6) , relative efficiency results for different choices of parameters are provided in the form of Table 2.2.1 (see Table 1 in supplementary files) using the SAS codes given at pages 338–343, by committing the same error. This needs correction. The corrected results on relative efficiency, using Equations Equation(3)(3) (3) , Equation(4)(4) (4) , Equation(7)(7) (7) , and Equation(8)(8) (8) are available in table provided as supplementary file.
Same errors are committed in Section 3 of the abovementioned article when dealing with stratified random sampling. These errors must be removed by following the corrections as made in Equations Equation(3)(3) (3) , Equation(4)(4) (4) , Equation(7)(7) (7) , and Equation(8)(8) (8) .