17
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Adelman, 1. and C. Taft Morris, Economic Growth and Social Equity in Developing Countries. Stanford University Press, Stanford, 1973.

Aigner, D. J. and A. J. Heins, On the determinants of income inequality. American Economic Review, vol. 57, 175-184, 1967a.

Aigner, D. J. and A. J. Heins, A social welfare view of measurement of income inequality. The Review of Income and Wealth, vol. 13, 12-25, 1967b.

Aigner, D. J. and A. S. Goldberger, Estimation of Pareto's law from grouped observations. Journal of the American Statistical Association, vol. 65, 712-723, 1970.

Aitchison, J. and J. A. C. Brown, On criteria for descriptions of income distribution. Metro-economica, vol. 6, 88-107, 1954.

Aitchison, J. and J. A. C. Brown, The Lognormal Distribution. Cambridge, at the University Press, 1%6.

Alamgir, M., Some analysis of distribution of income, consumption, saving and poverty in Bangladesh. The Bangladesh Development Studies, vol. 11, 737-S18, 1974.

Allen, R. G. D., Mathematical analysis for economists. Macmillan, London, 1950. Al Samarie, A. and H. P. Miller, State differentials in income concentration. American

Economic Review, vol. 57, 57··72, 1967. Anderson, T. W., An introduction to multivariate analysis. Wiley, New York, 1958. Arrow, K., Social choices and individual value. Wiley, London, 1951. Arrow, K. J., Higher education as a filter. Journal of Public Economics, vol. 2, 193-216,

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Index

Age 193,196,199,208 Age-earnings profile 193 Atkinson inequality measure (ATKIN)

78,82, 120

Bernouilli's utility concept 80, XI, 82 Beta distribution 63, 64, 65, 126, 127 Beta weights 204, 219 Box-Cox Champernowne distribution

62,63, 126, 127, 136, 236 Box-Cox transformation 62, "I, 189, 240 Bresciani-Turroni property 16

Canonical correlation analySh 9, 213, 219, 220,243

Capabilities 198,219 Champernowne distribution 59, 61,62, 126,

127,136,137,240 Champernowne's inequality measure

(CHAMP) 18,118 Chi square distance 67

estimation 67, 68,124, 12"7 income inequality measure (CHI) 29,119

Coefficient of variation (VARCO) 19, 32, 43,52,53,55,56, 118

Compensating income di fferences 96, 97, 98 Concentration measure 14, r Concentration surface 25, 26, 38 Continuous work 194, 199, 205, 208,

220,235 Correlation function, auto-correia lion

160,165,166 cross-correlation 160, 168

Correlogram 166 auto-correlogram 161 cross-correlogram 161, 167, 168

Covariance function, auto-covariance 160 cross-covariance 160, 173

Cross-sectional regression analysis 9, 192 estimation II, 238

Cyclical fluctuations in unemployment 159,185,190,231, n1

Dalton inequality measure (DALTON) 77,81,82,86,120

Decomposition of inequality measures 20, 22,23,27,33,43,44,45,208 of time series 180

Derived demand function 196,219,227,230 Deviation, Standardised mean absolute

69,127 Standardised weighted mean absolute 69,127

Discrimination information 34 inequality measure (DlSI) 34, 120

Disposable income 107 Distance measure 28,29,50,99,213,

219,220,239 Distribution function 15,48,51

incomplete 15 inverse 15, 29 k-th moment 15,55 k-th central moment 15 normalised inverse IS, 38

Disturbance term 201 Disutilities of a job 194 Divergence measures 27,93,98,99

Earnings function 217,219 Elasticity of substitution 217, 230, 243, 244 Entropy 30, 44, 49, 71

Renyi's -order entropy 31 Renyi's second order entropy 33, 120 Shannon's measure of entropy 31, 39

Error term 208

Factor analysis 5, II, 103,240 Family equivalent unit 106 Female labor force 193, 199,200,208,233 Fiscal income lOS, 106, 107 Fourier transform 169,173 Frequency function of incomes 10,46, 105

Gain 173, 176, 179, 182, 183 Gamma distribution 53, 70, 126, 127

generalised 52, 53, 64, 65, 126, 127 Generalised average ratio (GGAAR) 87, 121 Generalised least squares 67 Generalised weighted difference indicator 23 Gini's coefficient of concentration (GIN!)

260

24,25 Gini's constant 75 Gini's ratio 25,27,43,50,51,75,119

lower end, upper bounds of 26,38, 51 Goodness-of-fit measures 47. 50, 51, 68, 69,

70,103,127,192,202

Herfindahl index 31, 32 Higher executive employees 194,199,205,

208,236 Human capital theory 71,195,196,198,

218,219

Income per capita 6, 110, Ill, 191,216 per recipient (fiscal unit) 110, Ill, 191, 201,216

Income distribution. desired 13, 95, 97 equitable 94 intra-regional 9, 10, II, 234, 237 just 7,94 reference 10,12,13,20,21,22,27,29,35, 93,117,148,239 target 9, 93, 97, 98, 148,239,240

Income inequality vector 13, 25 Income, level of regional 198, 203, 206,

234,235,240,241 Income weighted mean difference (IWMD)

23,119 Inequality, indicator (measure) of income 7,

9,10,12,13,191.206,236,239,240 normalised - measure 16, 20, 27, 116, 148 panial - indicator 17,41 standardised - measure 16 statistical indicator of income - 103, liS welfare based - measure 103, 120, 121

Information theon' 14, :10. 35 measure 31

Inverse hyperbolic sine normal distribution 55,56,126, IT

Kendall's tau (coefficient of correlation) 114, 140, 141, lSI

Kurtosis parameters 21. 38, 59

Labour categories 225, 226, 227,231,237 demand 226, 227, 230, 231, 23S income lOS, 152. 192.193. 195, 196, 197,201,219 participation rale 232. 233 supply 232

Labour market, regional 7,9, 10, II, 156, 157,187,211,226,237 discrepancies on 194, 19S, 199,22.5,226, 233,238

Law of avarages 7' Lifetime income 1m Location parameters of regional income 7,

10,12,17, IS, 53,103,109,140,148, 191, 205, 216

Logislic distribu110n 5~. S9

INDEX

Log-logistic distribution 57,58,59,65, 126, 137

Lognormal distribution 54,55,57,65, 71,126

Log Pearson IV distribution 65, 125, 127 Log Student distribution 60,61,124 Lorenz curve 24,25,26,32,33,38,48,51

Marginal product approach 196, 197 Maximum equalisation percentage (MEQP)

22,119 Maximum likelihood 67, 68,124,125,127 Mean, arithmetic 17, 18,22,50,140

geometric 17, 18,37 harmonic 17, 37

Mean function 160 Meandeviation(MD)2I,22, 118, 191,211,

213,241 Relative - (RMD) 21,22 of income (MDY) 191, 207, 213, 216, 236

Mean differen~e 22,23 Relative 24

Median 17,22, 110, 114, 115, 118, 140 Method of moments 66, 161 Migration 232, 233,238 Minkowski metric 28,99,212,239

10-quantile deviation - (QDMINK) 30,119 Mmkowskl, weighted - measure (WMINK)

28,119 Mode IS, 17,22,50, 110, 114, 115, 118

unimodal distribution 50 Multicollinearity 203, 204

Normal distribution 54, 57, 59 Norms, influence of social 194, 212, 215 Numerical integration 25,68,72 Numerical optimisation 68,151

On-the-job training 195, 196,219

Pareto-constant 59, 73, 74 distribution 51,73,74

Pareto-Levy distribution 52, 75 Pan-time work 158, 194,200,231 Pearson's coefficient of correlation 114, 140,

141,151 Pearson's type I distribution 63

type III distribution 53,64 type IV distribution 64, 65

Periodical components in series 156, 170, 172,231,242

Phase 173, 179, 182 Pietra ratio 22, 43 Policy, economic 6,211,240

regional 6, ISS, 162, 163,206,211, 216,239

Poveny index 17, 37 Principal components analysis 140, 163

in the frequency domain 10,178,180, 181, IS3, 241

INDEX

Probability density function (P.D.f.) of income 14, 35, 46, 48, 49, 69,103,121, 195,236,240,243 k-th moment 15

Production function 196,197,227,230, 243,244

Productivity 193,195,197,231,237 Property 205,208,220,235,236 Property income 108, 192, 193

Quantile IS, 30

Random Variable 14 continuous 15,16 discrete 15, 16

Rank order weighted mean difference

(RWMD) 23, 119, 148 Rate of return 196, 218 Revealed preference 5, 79 Risk, as an explanation of income

di fferences 218 Risk aversion 82, 83

Schooling 193,195,196,199.205,208,217, 218,220,235

Seasonal fluctuations in unemployment 159, 174,175,180,185,186,189,231,241

Skew, Pearsonian system of skew P.D.f.'s 51,63

Skewne'os, Pear50nian coeffiCient of (PCSK) 21,38,118,121 Champernownes coefficienl of (SCHAMP)21,60, 118, 121

Social indicators movement 2,5.6.77 Social security payments 200. 208 Spatial heterogeneity 3. 105 Spatial inequalities 4.240 Spectral analysis 10.159.161.169.187.190,

241 Spectral density malrix 179 Spectrum 173

auto-169, 170. 171. ISO. IHI cross l/j

Squared coherency 173. 174. 176 Standard deviation (STAND) 19. 52, 57.

118.121 of regional unemployment 163

Statistical theoretical approach in income distribution 195

261

Stochastic processes 48, 71,169,178,195 vector valued 160, 178 covariance stationary 160, 161, 170

Student distribution, generalised 60, 61,65 Supply demand theory 71,197,198

Taxable income 107,108,150,152,153 Theil's inequality measure (THEIL) 32, 33,

34,44,45,75,120 Transfer incomes 108, 192, 194,205,235,

236 Transfer principle 116,151 Tukey-Hanning weights 170

Unemployment, female 157 rate7, 155, 159, 162, 163, 187,205,225, 233, 235 regional 6, 154, 162, 194, 225

Unit cost function 227, 230

Variance 19,20,43 function 160

Wealth index 17 Weibull distribution 53, 70, 126 Weight function 23, 30 Weights in inequality evaluation 13, 117,

148,207,212,239,240,242 ex-post determination of 214,215,243

Welfare, aspects of regional 188, 206, 243 elements of regional 5, 187, 189, 191,225, 234,237,238,242

Welfare function, additive individualistic welfare approach 78, 79 group - of income 78, 84 individual cardinal - of income 76,95 of income 14,76 panial group - of income 76, 77, 78 regional 162, 188,216

Welfare indicators 155 Welfare profile, regional 4, 5, 6, 7,12,77,

103.148.154.189,191,211,225, 241,242

Welfare weights, a-priori specification of ',78,84,85,88 ex-post specification of 5,79,85,86,87, HS,89

Yule distribution 52, 75

Studies in applied regional science

Vol. I On the use of input-output models for regional planning W. A. Schaffer

This volume is devoted to the use of input-output tech­niques in regional planning. The study provides a clear introduction to the essential ideas of input-output analysis. Particular emphasis is placed on the intricate problems of data collection at a regional level.

ISBN 90 207 0626 ~

Vol. 2 Forecasting transportation impacts upon land use P. F. Wendt

This reader concentrates on transportation problems in urban areas. After a survey of model techniques for analyzing transportation and land use problems, several new methods in the field of transportation and land-use planning are developed.

ISBN 90 207 0627 6

Vol. 3 Estimation of stochastic input-output models S. D. Gerking

The primary objective of this monograph is to develop a method for measuring the uncertainty in estimates of the technical coefficients in an input-output model. This study also describes three further applications of the two-stage least squares estimation technique in an input­output context.

ISBN 90 207 0628 4