Several poverty indices have been suggested to measure the intensity of poverty suffered by those below the poverty line. Because the studies are estimated on the basis of sample observations, whether the observed differences in their values are statistically significant needs to be tested. This paper provides distribution free asymptotic confidence interval and statistical inference for several poverty indices. The methodology developed in the paper is applied to analyze poverty in Cote d'Ivoire from the data of the Living Standards Survey, 1985.