Confidence bands and statistical inference for conditional coefficient of variation in case of crossing Lorenz curves

Article type: Research Article

Authors: Arora, Sangeeta^{a; *} | Mahajan, Kalpana K.^a | Pundir, Sudesh Sudesh^b

Affiliations: [a] Department of Statistics, Panjab University, Chandigarh, India | [b] GGDSD College, Chandigarh, India

Correspondence: [*] Corresponding author: Sangeeta Arora, Reader, Department of Statistics, Panjab University, Chandigarh, India. E-mail: [email protected].

Abstract: When Lorenz curves cross, conditional coefficient of variation curve can be used to test the inequality dominance. In the present paper, confidence bands are provided for conditional coefficient of variation curve. Based on these confidence bands a multiple comparison test is proposed for testing the dominance of conditional coefficient of variation curve. The power of the test is computed and a real life illustration is given at the end.

Keywords: Lorenz curve, conditional coefficient of variation curve, confidence bands

DOI: 10.3233/MAS-2009-0111

Journal: Model Assisted Statistics and Applications, vol. 4, no. 2, pp. 105-115, 2009