The name is absent



Stata Technical Bulletin

ɪede(ɪ) — / j,
i=l


fi ⅛g(yt)


The Atkinson indices (Atkinson 1970) are defined by

A(e) = 1 - [yede(e)∕nι]

These indices are decomposable but not additively decomposable (Blackorby, Donaldson, and Auersperg 1981):

A(e) = Aw(a) + AB(a) - [A1,y(α)]. [As(α)]

where

and


Aw (ɑ) = 1


fe=l


Ab(o) = 1 -


У de


Social welfare indices (Jenkins 1997) are defined by

We = -ɪ- [yβde(e)]1 e, 0 0 0, e ≠ 1

1 — e

W1 = log[yβde(1)]

Each of these indices is an increasing function of a generalized mean of order (1 — e). All the welfare indices are additively
decomposable:

W(e)


= ∑VkWk(e)
k=l


The Gini coefficient is given by

G = 1 + (1∕2V) -


(ɪ) ∑(jv-i + 1b

mJzJ


where persons are ranked in ascending order of yB

The Gini coefficient (and the percentile ratios) are not properly decomposable by subgroup into within- and between-group
inequality components.

Sen’s (1976) welfare index is given by

5 = m(1-G)

Syntax

ineqdeco varname [weight] [if exp] [in range] [, bygroup(groupvar) w summ]
fweights and aweights are allowed.



More intriguing information

1. The Effects of Reforming the Chinese Dual-Track Price System
2. Examining the Regional Aspect of Foreign Direct Investment to Developing Countries
3. What Drives the Productive Efficiency of a Firm?: The Importance of Industry, Location, R&D, and Size
4. Clinical Teaching and OSCE in Pediatrics
5. The name is absent
6. Firm Creation, Firm Evolution and Clusters in Chile’s Dynamic Wine Sector: Evidence from the Colchagua and Casablanca Regions
7. Education as a Moral Concept
8. Perceived Market Risks and Strategic Risk Management of Food Manufactures: Empirical Results from the German Brewing Industry
9. The name is absent
10. BODY LANGUAGE IS OF PARTICULAR IMPORTANCE IN LARGE GROUPS
11. Environmental Regulation, Market Power and Price Discrimination in the Agricultural Chemical Industry
12. The name is absent
13. The Making of Cultural Policy: A European Perspective
14. The name is absent
15. Distortions in a multi-level co-financing system: the case of the agri-environmental programme of Saxony-Anhalt
16. fMRI Investigation of Cortical and Subcortical Networks in the Learning of Abstract and Effector-Specific Representations of Motor Sequences
17. Political Rents, Promotion Incentives, and Support for a Non-Democratic Regime
18. Competition In or For the Field: Which is Better
19. Determinants of U.S. Textile and Apparel Import Trade
20. The name is absent