社会经济指标中基于阶层的分布不确定性量化：印度各州的比较研究
Strata-based Quantification of Distributional Uncertainty in Socio-Economic Indicators: A Comparative Study of Indian States
摘要：
本文报告了2001 - 2011年印度各邦几个社会经济指标分布不确定性的综合研究。我们发现，DGB分布，一个典型的秩序分布，提供了很好的适合在印度每个州的人口规模，识字率（LR）和工作参与率（WPR）的地区经验数据，通过其两个分布参数。此外，诉诸DGB分布的熵公式，建议的不确定性百分比（UP）揭示了印度所有州的LR和WPR的不确定性的动态。我们还对2001年至2011年估计参数和UP值的变化进行了评论。此外，还讨论了对印度各邦这些重要社会经济变量分布情况的基于性别的分析。有趣的是，人们注意到，虽然识字和工作人口的分布与人口规模的分布有直接（线性）对应关系，但识字率和工作参与率的分布与总体分布无关。
英文摘要：
This paper reports a comprehensive study of distributional uncertainty in a few socio-economic indicators across the various states of India over the years 2001-2011. We show that the DGB distribution, a typical rank order distribution, provide excellent fits to the district-wise empirical data for the population size, literacy rate (LR) and work participation rate (WPR) within every states in India, through its two distributional parameters. Moreover, taking resort to the entropy formulation of the DGB distribution, a proposed uncertainty percentage (UP) unveils the dynamics of the uncertainty of LR and WPR in all states of India. We have also commented on the changes in the estimated parameters and the UP values from the years 2001 to 2011. Additionally, a gender based analysis of the distribution of these important socio-economic variables within different states of India has also been discussed. Interestingly, it has been observed that, although the distributions of the numbers of literate and working people has a direct (linear) correspondence with that of the population size, the literacy and work-participation rates are distributed independently of the population distributions.
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