Abstract
In many of his writings, lectures and talks Pedro Gil emphasized the wide variety of economic applications of Information Theory. In this paper, as a tribute to him, we aim to provide some insight into this topic, mainly referred to income inequality, industrial concentration and economic forecasting.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
In the case of the double quadratic inequality the Pigou-Dalton’s condition or progressive transfers principle holds under certain (non-restrictive) asssumptions.
References
Alvargonzález M (2003) Medidas doble cuadráticas de información. Algunas aplicaciones económicas. PhD thesis, Universidad de Oviedo
Alvargonzález M, López AJ, Pérez R (2004) Growth-inequality relationship. An analytical approach and some evidence for Latin America. Appl Econ Int Dev 4(2):91–108
Alvargonzález M, López AJ, Pérez R (2004) The double quadratic uncertainty measures and their economic applications. In: López-Díaz M, Gil MA, Grzegorzewski P, Hryniewicz O, Lawry J (eds) Soft methodology and random information systems. Springer, Heidelberg
Alvargonzález M, López AJ, Pérez R (2006) Privación relativa y desigualdad. La medida doble cuadrática. Estadíst Esp 48(162):271–293
Aczel J, Kannappan PL (1978) A mixed theory of information III. Inset entropies of degree \(\beta \). Inf Control 39:315–322
Anand S, Kanbur SMR (1993) The Kuznets process and the inequality-development relationship. J Dev Econ 40:25–52
Bates JM, Granger CWJ (1969) The combination of forecasts. Op Res Q 20(4):451–468
Bourguignon F (1979) Decomposable income inequality measures. Econometrica 47(4):901–920
Caso C, Gil MA (1988) The Gini-Simpson Index of diversity: estimation in the stratified sampling. Commun Stat-Theor Meth 17(9):2981–2995
Caso C, Gil MA (1989) Estimating income inequality in the stratified sampling from complete data (Parts I and II). Kybernetika 25(4):298–319
Chakravarty SR, Chakraborty AB (1984) Income inequality and relative deprivation. Econ Lett 14:283–287
Cowell FA (1980) On the structure of additive inequality measures. Rev Econ Stud 47:521–231
Curry B, George KD (1983) Industrial concentration: a survey. J Ind Econ XXXI(3):203–255
Gil P (1981) Teoría Matemática de la Información. ICE, Madrid
Gil P (2007) ¿Por qué la teoría de la información? BEIO 23(3):8–9
Gil MA, Caso C, Gil P (1989) Estudio asintótico de una clase de índices de desigualdad muestrales. Trab Estadíst 4(1):95–109
Gil MA, Pérez R, Gil P (1989) A family of measures of uncertainty involving utilities: definition, properties, applications and statistical inferences. Metrika 36:129–147
Gini C (1921) Measurement of inequality of incomes. Econ J 31:124–126
Hannah L, Kay JA (1977) Concentration in modern industry: theory, measurement and the UK experience. MacMillan, London
Harvda J, Charvát F (1967) Quantification method of classification processes. Kybernetika 3:129–147
Kuznets S (1955) Economic growth and income inequality. Am Econ Rev 45:1–28
López AJ (1991) Desigualdad de renta y pobreza: una aproximación conceptual y cuantitativa. PhD thesis, Universidad de Oviedo
López AJ, Cowell FA (2013) Desigualdad y crecimiento económico. ¿Círculos viciosos o virtuosos? Rev Galega Econ 22:15–36
López AJ, Pérez R (2012) Financial forecasting accuracy: exploring the M3-competition. In: 6th CSDA international conference of the & financial econometrics ERCIM WG on computing & statistics, London
López AJ, Pérez R (2017) Forecasting performance and information measures. Revisiting the M-competition. Estud Econ Apl 35(2):299–314
López AJ, Alvargonzález M, Pérez R (2006) Crecimiento económico y desigualdad. Nuevas extensiones del proceso de Kuznets. Estud Econ Apl 24(1):221–244
López AJ, Pérez R, Moreno B (2011) Forecasting performance and M-competition. Does the accuracy measure matter? In: Proceedings of the 58th world statistics congress. https://isi-web.org/index.php/publications/proceedings
Makridakis S, Hibon M (2000) The M-3 competition: results, conclusions and implications. Int J Forecast 16:451–476
Moreno B, López AJ (2007) Combining forecasts through information measures. Appl Econ Lett 14(12):899–903
Moreno B, López AJ (2013) Combining economic forecasts by using a maximum entropy econometric approach. Int J Forecast 32(2):124–136
Moreno B, López AJ, Pérez R (2007) Combinación de predicciones basada en medidas de información. Una aplicación al crecimiento económico en España. Estadíst Esp 164(49):5–32
Pérez R (1985) Estimación de la incertidumbre, la incertidumbre útil y la inquietud en poblaciones finitas: una aplicación a las medidas de desigualdad. Rev Real Acad Cienc Exact, Fís Nat LXXIX(4):651–654
Pérez R (1985) Estimación de la incertidumbre, la incertidumbre útil y la inquietud en poblaciones finitas: una aplicación a las medidas de desigualdad. PhD thesis, Universidad de Oviedo
Pérez R, López AJ (2001) La distribución de la renta. Una visión panorámica 1981–2001. Rev Astur Econ extra:267–286
Pérez R, López AJ (2004) Crecimiento y distribución de la renta. Aproximación a la desigualdad económica y social. Pap Econ Esp 20:220–233
Pérez R, Caso C, Gil MA (1986) Unbiased estimation of income inequality. Statist Hefte (Statist Pap) 27:227–237
Río MJ, Pérez R (1988) Sobre la medición de la concentración industrial. Invest Econ Supl 1988:81–88
Sen A (1976) Poverty: an ordinal approach to measurement. Econometrica 44(2):219–231
Shannon C (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423
Shorrocks AF (1980) The class of additively decomposable inequality measures. Econometrica 48(3):613–625
Theil H (1966) Applied economic forecasting. North Holland Publishing, Amsterdam
Theil H (1967) Economics and information theory. North Holland Publishing, Amsterdam
Yitzhaki S (1979) Relative deprivation and the Gini coefficient. Q J Econ 43(2):321–324
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Pérez, R., López, A.J., Caso, C., Alvargonzález, M., Río, M.J. (2018). On Economic Applications of Information Theory. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_48
Download citation
DOI: https://doi.org/10.1007/978-3-319-73848-2_48
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-73847-5
Online ISBN: 978-3-319-73848-2
eBook Packages: EngineeringEngineering (R0)