Abul Naga, R.H. & Yalcin, T. (2008). Inequality measurement for ordered response health data. Journal of Health Economics 27, 1614-1625.
- Ali, S.M. & Silvey, S.D. (1966). A general class of coefficients of divergence of one distribution from another. Journal of the Royal Statistical Society, Series B 28, 131-142.
Paper not yet in RePEc: Add citation now
Allison, R.A. & Foster, J.E. (2004). Measuring health inequality using qualitative data. Journal of Health Economics 23, 505-424.
- Anderson, T.W. & Darling, D.A. (1952). Asymptotic theory of certain â€Âgoodness of fit†criteria based on stochastic processes. Annals of Mathematical Statistics 23, 193-212.
Paper not yet in RePEc: Add citation now
- Ansari, A.R. & Bradley, R.A. (1960). Rank-sum tests for dispersion. Annals of Mathematical Statistics 31, 1147-1189.
Paper not yet in RePEc: Add citation now
Apouey, B. & Silber, J. (2013). Inequality and bi-polarization in socioeconomic status and health: ordinal approaches. Reseach and Economic Inequality 21, 77-109.
- Arndt, C. (2004). Information Measures. Springer-Verlag, Heidelberg.
Paper not yet in RePEc: Add citation now
- B uning, H. & Trenkler, G. (1994). Nichtparametrische statistische Methoden. de Gruyter, Berlin.
Paper not yet in RePEc: Add citation now
- Basu, A.P. & Woodworth, G. (1967). A note on nonparametric tests for scale. Annals of Mathematical Staistics 38, 274-277.
Paper not yet in RePEc: Add citation now
- Behnen, K. & Neuhaus, G. (1989). Rank Tests with Estimated Scores and their Applications. Teubner-Verlag, Stuttgart.
Paper not yet in RePEc: Add citation now
- Beirlant, J., Dudewicz, E.J., Gy orfi, L. & van der Meulen, E.C. (1997). Nonparametric entropy estimation: an overview. International Journal mof Mathematical and Statistical Science 6, 17-39.
Paper not yet in RePEc: Add citation now
- Berk, R.H. & Jones, D:H. (1979). Goodness-of-fit statistics that dominate the Kolmogorov statistics. Zeitschrift f ur Wahrscheinlichkeitstheorie und verwandte Gebiete 47, 47-59.
Paper not yet in RePEc: Add citation now
- Berry, K.J. & Mielke, P.W. (1992a). Assessment of variation in ordinal data. Perceptual and Motor Skills 74, 63-66.
Paper not yet in RePEc: Add citation now
- Berry, K.J. & Mielke, P.W. (1992b). Indices of ordinal variation. Perceptual and Motor Skills 74, 576-578.
Paper not yet in RePEc: Add citation now
- Berry, K.J. & Mielke, P.W. (1994). A test of significance for the index of ordinal variation. Perceptual and Motor Skills 79, 1291-1295.
Paper not yet in RePEc: Add citation now
- Bickel, P.J. & Lehmann, E.L. (1976). Descriptive statistics for nonparametric models: III. Dispersion. Annals of Statistics 5, 1139-1158.
Paper not yet in RePEc: Add citation now
- Bickel, P.J. & Lehmann, E.L. (1979). Descriptive statistics for nonparametric models: IV. Spread. In: Jure˘ ckov a, J. (ed.). Contributions to Statistics. Academic Press, New York, 33-40.
Paper not yet in RePEc: Add citation now
- Blair, J. & Lacy, M.G. (1996). Measures of variation for ordinal data. Perceptual Motor Skills 82, 411-418.
Paper not yet in RePEc: Add citation now
- Blair, J. & Lacy, M.G. (2000). Statistics of ordinal variation. Sociological Methods Research 28, 251-280.
Paper not yet in RePEc: Add citation now
- Burbea, J. & Rao, C.R. (1982). On the convexity of some divergence measures based on entropy functions. IEEE Transactions on Information Theory 28, 489-495.
Paper not yet in RePEc: Add citation now
Burger, H.U. (1993). Dispersion orderings with applications to nonparametric tests. Statistics & Probability Letters 16, 1-9.
- Chen, X. & Dai, W. (2011). Maximum entropy principle for uncertain variables. International Journal of Fuzzy Systems 13, 232-236.
Paper not yet in RePEc: Add citation now
- Chen, X., Kar, S. & Ralescu, D.A. (2012). Cross-entropy measure of uncertain variables. Information Sciences 201, 53-60.
Paper not yet in RePEc: Add citation now
- Cichocki, A. & Amari., S. (2010). Families of alpha- beta- and gamma-divergences: flexible and robust measures of similarities. Entropy 12, 1532-1568.
Paper not yet in RePEc: Add citation now
- Cover, Th. M. & Thomas, J.A. (1991). Elements of Information Theory. Jon WiLey & Sons, New York.
Paper not yet in RePEc: Add citation now
- Cressie, N. & Read, T.R.C. (1984). Multinomial goodness-of-fit tests. Journal of the Royal Statistical Society, Series B 46, 440.464.
Paper not yet in RePEc: Add citation now
- Csisz ar, I. (1963). Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizit at von Markoffschen Ketten. Magyar Tud. Akad. Mat. Kutat o Int. K ozl. 8, 85-108.
Paper not yet in RePEc: Add citation now
- Dai, W. (2012). Maximum entropy principle for quadratic entropy of uncertain variables.
Paper not yet in RePEc: Add citation now
- Dai, W. & Chen, X. (2012). Entropy of function of uncertain variables. Mathematical and Computer Modelling 55, 754-760.
Paper not yet in RePEc: Add citation now
- De Luca, A. & Termini, S. (1972). A definition of a nonprobabilistic entropy in the setting of fuzzy set theory. Information and Control 20, 301-312.
Paper not yet in RePEc: Add citation now
- Di Crescenzo, A. & Longobardi, M. (2009a). On cumulative entropies and lifetime estimation. In: Mira. J.M. et al. (eds) IWINAC 2009, Part I, LNCS 5601. Springer, Berlin, 132-141.
Paper not yet in RePEc: Add citation now
- Di Crescenzo, A. & Longobardi, M. (2009b). On cumulative entropies. Journal of Statistical Planning and Inference 139, 4072-4087.
Paper not yet in RePEc: Add citation now
- Donoho, D. & Jin, J. (2004). Higher criticism for detecting sparse heterogeneous mixtures. Annals of Statistics bf 32, 962-994.
Paper not yet in RePEc: Add citation now
- Drissi, N., Chonavel, Th. & Boucher, J.M. (2008). Generalzed cumulaitve residual entropy distributions with unrestricted supports. Research Letters in Signal Processing 11, 1-5.
Paper not yet in RePEc: Add citation now
- Ebrahimi, B.R. (1996). How to measure uncertainty in the residual lifetime distribution. Sankhya, Series A 58, 48-56.
Paper not yet in RePEc: Add citation now
Ebrahimi, N., Massoumi, E. & Soofi, E.S. (1999). Ordering univariate distributions by entropy and variance. Journal of Econometrics 90, 317-336.
- Esteban, M.D. & Morales, D. (1995). A suumary on entropy statistics. Kybernetika 31, 337-346.
Paper not yet in RePEc: Add citation now
Gadrich, T., Bashkansky, E. & Zitikas, R. (2015). Assessing variation: a unifying approach for all scales of measurement. Quality & Quantity 49, 1145-1167.
- Gini, C. (1912). Variabilit` a e mutabilit` a: contributo alla distribuzioni e delle relazioni statistiche. Bologna.
Paper not yet in RePEc: Add citation now
- H ajek, J., ˘ Sidek, Z. & Sen, P.K. (1999). Theory of Rank Tests. Academic Press, San Diego.
Paper not yet in RePEc: Add citation now
Hall, P., Wolff, R.C. & Yao, Q. (1999). Methods for estimating a conditional distribution function. Journal of the American Statistical Association 94, 154-163.
- Hartley, R.V.L. (1928). Transmission of information. Bell Systems Technical Journal 7, 535-563.
Paper not yet in RePEc: Add citation now
- Havrda, J. & Charv at, F. (1967). Quantification method of classification processes. Concept of structural α-entropy. Kybernetika 3, 30-35.
Paper not yet in RePEc: Add citation now
- Hettmansperger, Th.P. (1984). Statistical Inference based on Ranks. John Wiley & Sons, New York
Paper not yet in RePEc: Add citation now
- Hettmansperger, Th.P. & McKean, J.W. (2011). Robust Nonparametric Statistical Methods. Chapman & Hall, New York.
Paper not yet in RePEc: Add citation now
- Huber, P.J. (1981). Robust Statistics. Wiley & Sons, New York.
Paper not yet in RePEc: Add citation now
- Jaeckel, L.A. (1972). Estimating regression coefficients by minimizing the dispersion of residuals. Annals of Mathematical Statistics 43, 1449-1458.
Paper not yet in RePEc: Add citation now
- Jager, L. & Wellner, J.A. (2007). Goodness-of-fis tests via phi-divergences. The Annals of Statistics 35, 2018-2053.
Paper not yet in RePEc: Add citation now
- Jaynes, E.T. (1957a). Information theory and statistical mechanics. Physical Review 106, 620-630.
Paper not yet in RePEc: Add citation now
- Jaynes, E.T. (1957b). Information theory and statistical mechanics. Physical Review 108, 171-190.
Paper not yet in RePEc: Add citation now
- Jumarie, G. (1990). Relative Information: Theories and Applications Springer-Verlag, Berlin.
Paper not yet in RePEc: Add citation now
- Jureˇ ckov a, J. (1971). Nonparametric estimate of regresion coefficients. Annals of Mathematical Statistics 42, 1328-1338.
Paper not yet in RePEc: Add citation now
- Jureˇ ckov a, J. & Picek, J. (2006). Robust Statistical Methods with R. Chapman & Hall/CRC, Boca Raton.
Paper not yet in RePEc: Add citation now
- Jureˇ ckov a, J. & Sen, P.K. (1996). Robust Statistical Procedures: Asymptotics and Interrelations. John Wiley & Sons, New York.
Paper not yet in RePEc: Add citation now
- Kapur, J.N. (1983). Derivation of logistic law of population growth from maximum entropy principle. National Academy Science Letters 6, 429-433.
Paper not yet in RePEc: Add citation now
- Kapur, J.N. (1988). Generalized Cauchy and Students distributions as maximum entropy distributions. Proceedings of the National Academy of Sciences India 58, 235-246.
Paper not yet in RePEc: Add citation now
- Kapur, J.N. (1994). Measures of Information and their Applications. New Age International Publishers, New Delhi.
Paper not yet in RePEc: Add citation now
- Kesavan, H.K. & Kapur, J.N. (1989). The generalized maximum entropy principle. IEEE Transactions on Systems, Man, and Cybernetics 19, 1042-1052.
Paper not yet in RePEc: Add citation now
- Klein, I. (1999). Rangordnungsstatistiken als Verteilungsmaßzahlen f ur ordinalskalierte Merkmale: I. Streuungsmessung. Diskussionspapier 27/1999. Lehrstuhl f ur Statistik und Okonometrie, Universit at Erlangen-N urnberg.
Paper not yet in RePEc: Add citation now
- Klein, I. & Mangold, B. (2015a). Cumulative paired Æ-entropies - Estimation and Robustness. To appear.
Paper not yet in RePEc: Add citation now
- Klein, I. & Mangold, B. (2015b). Cumulative paired Æ-entropies - New rank tests for dispersion. To appear.
Paper not yet in RePEc: Add citation now
- Klein, I. & Mangold, B. (2015c). Æ-correlation and Æ-regression. To appear.
Paper not yet in RePEc: Add citation now
- Kloke, J.D. & McKean, J.W. (2012) Rfit: Rank-based estimation for linear models. The R Journal 4, 57-64.
Paper not yet in RePEc: Add citation now
- Klotz, J. (1961). Nonparametric tests for scale. Annals of Mathematical Statistics 33, 498-512.
Paper not yet in RePEc: Add citation now
- Koul, H.L., Sievers, G.L. & McKean, J.W. (1987). An estimator of the scale parameter for the rank analysis of linear models under general score functions. Scnadinavian Journal of Statistics 14, 131-141.
Paper not yet in RePEc: Add citation now
- Kv˚ alseth, T.O. (1989). Nominal versus ordinal variation. Perceptual and Motor Skills 69,
Paper not yet in RePEc: Add citation now
- Leik, R.K. (1966). A measure of ordinal consensus. Pacific Sociological Review 9, 85-90.
Paper not yet in RePEc: Add citation now
Lerman, R. & Yitzhaki, S. (1984). A note on the calculation and interpretation of the Gini index. Economic Letters 15, 363-368.
- Liese, F. & Vajda I. (1987). Convex Statistical Distances. Teubner, Leipzig.
Paper not yet in RePEc: Add citation now
- Liu, B. (2015). Uncertainty Theory, 5th ed.. http://orsc.edu.cn/liu/ut.pdf.
Paper not yet in RePEc: Add citation now
- McKean, J.W. & Kloke, J.D. (2014). Efficient and adaptive rank-based fits for linear models with skew-normal errors. Journal of Statistical Distributions and Applications, 1-18.
Paper not yet in RePEc: Add citation now
- Mood, A.M. (1954). On the asymptotic efficiency of certain nonparametric two-sample tests. Annals of Mathematical Statistics 25, 514-522.
Paper not yet in RePEc: Add citation now
- Nelsen, R.B. (1999). An Introduction to Copulas. Springer, New York.
Paper not yet in RePEc: Add citation now
- Oja, H. (1981). On location, scale, skewness and kurtosis of univariate distributions. Scandinavian Journal of Statistics 8, 154-168.
Paper not yet in RePEc: Add citation now
- Olkin, I. & Yitzhaki, S. (1992). Gini regression analysis. International Statistical Review 60, 185-196.
Paper not yet in RePEc: Add citation now
- Pal, N.R. & Bezdek, J.C. (1994). Measuring fuzzy uncertainty. IEEE Transactions on Fuzzy Systems 2, 107-118.
Paper not yet in RePEc: Add citation now
- Pardo, L. (2006). Statistical Inferences based on Divergence Measures. Chapman & Hall, Boca Raton, Fl.
Paper not yet in RePEc: Add citation now
- Parr, W.C. & Schucany, W.R. (1980). Minimum distance and robust estimation. Journal of the American Statistical Association 75, 616-624.
Paper not yet in RePEc: Add citation now
- Parr, W.C. & Schucany, W.R. (1982). Jackknifing l-statistics with smooth weight functions. Journal of the American Statistical Association 77, 629-638.
Paper not yet in RePEc: Add citation now
- Pfanzagl, J. (1985). Asymptotic Expansions for General Statistical Models. SpringerVerlag, New York.
Paper not yet in RePEc: Add citation now
- Popoviciu, T. (1935). Sur les equations alg ebraique ayant toutes leurs racines r eelles. Mathemtica (Cluj) 9, 129-145.
Paper not yet in RePEc: Add citation now
- R enyi, A. (1961). On measures of entropy and information. Fourth Berkeley Symposium on Mathematical Statistics and Probability, 547-561.
Paper not yet in RePEc: Add citation now
- Rao, M. (2005). More on a new concept of entropy and information. Journal of Theoretical Probability 18, 967-981
Paper not yet in RePEc: Add citation now
- Rao, M., Chen, Y. Vemuri, B.C. & Wang, F. (2004). Cumulative residual entropy: a new measure of information. IEEE Transactions on Information Theory 50, 1220-1228.
Paper not yet in RePEc: Add citation now
- Schechtman, E. & Yitzhaki, S. (1987). A measure of association based on Gini’s mean difference. Communications in Statistics - Theory and Methods 16, 207-231.
Paper not yet in RePEc: Add citation now
Schechtman, E. & Yitzhaki, S. (1999). On the proper bounds of the Gini correlation. Economics Letters 63, 133-138.
Schechtman, E. & Yitzhaki, S. (2003). A family of correlation coefficients based on extended Gini. Journal of Economic Inequality 1, 129-146.
- Schroeder, M.J. (2004). An alternative to entropy in the measurement of information. Entropy 6, 388-412.
Paper not yet in RePEc: Add citation now
- Serfling, R.J. (1980). Approximation Theorems in Mathematical Statistics. Wiley & Sons, New York,
Paper not yet in RePEc: Add citation now
- Shannon, C.E. (1948). A mathematical theory oc communication. Bell System Technical Journal 27, 379-423.
Paper not yet in RePEc: Add citation now
- Shiraishi, T.-A. (1986). The asymptotic power of rank tests under scale-alternatives including contaminated distributions. Annals of Mathematical Statistics 38, 513-522.
Paper not yet in RePEc: Add citation now
- Sukhatme, B.V. (1957). On certain two-sample nonparametricn tests for variances. Annals of Mathematical Statistics 28, 188-194.
Paper not yet in RePEc: Add citation now
Sunoj, S.M. & Sankaran, P.G. (2012). Quantile based entropy function. Statistics and Probability Letters 82, 1049-1053.
- Vogel, H. & Dobbener, R. (1982). Ein Streuungsmaß f ur komparative Merkmale. Jahrb ucher f ur National okonomie und Statistik 197, 145-157.
Paper not yet in RePEc: Add citation now
- Wang, F., Vemuri, B.C., Rao, M. & Chen, Y. (2003). A new & robust information theoretic measure and its application to image alignment. Proceedings of the 18th International Conference on Information Processing in Medical Imaging (IPMI 03). Lecture Notes in Computer Science (vol. 2732). Springer-Verlag, Berlin, 388-400.
Paper not yet in RePEc: Add citation now
- Yager, R.R. (2001). Dissonance - a measure of variability for ordinal random variables. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9, 39-53.
Paper not yet in RePEc: Add citation now
Yitzhaki, S. (2003). Gini’s mean difference: a superior measure of variability for nonnormal distributions. Metron, 285-316.
Yitzhaki, S. & Schechtman, E. (2005). The properties of the extended Gini measures of variability and inequality. Metron LXIII, 401-433.
- Zadeh, L. (1968). Probability measures of fuzzy events. Journal of Mathematical Analysis and Applications 23, 421-427.
Paper not yet in RePEc: Add citation now
Zardasht, V., Parsi, S. & Mousazadeh, M. (2015). On empirical cumulative residual entropy and a goodness-of-fit test for exponentiality. Statistical Papers DOI: 10.1007/s00362014 -0603-9.
- Zheng, B. (2008). Measuring inequality with ordinal data: a note. Research in Economic Inequality 16, 177-188.
Paper not yet in RePEc: Add citation now
Zheng, B. (2011). A new approach to measure socioeconomic inequality in health. Journal of Economic Inequality 9, 555-577.