A simple relation between the Leimkuhler curve and the mean residual life

Arnold, 1983 Balakrishnan, 2003 Burrell, 1991, The Bradford distribution and the Gini index, Scientometrics, 21, 181, 10.1007/BF02017568 Burrell, 1992, The Gini index and the Leimkuhler curve for bibliometric processes, Information Processing and Management, 28, 19, 10.1016/0306-4573(92)90089-I Burrell, 2001, Stochastic modelling of the first-citation distribution, Scientometrics, 52, 3, 10.1023/A:1012751509975 Burrell, 2002, Modelling citation age data: Simple graphical methods from reliability theory, Scientometrics, 55, 273, 10.1023/A:1019671808921 Burrell, 2006, On Egghe’s version of continuous concentration theory, Journal of the American Society for Information Science and Technology, 57, 1406, 10.1002/asi.20402 Burrell, 2006, Measuring concentration within and co-concentration between informetric distributions: An empirical study, Scientometrics, 68, 441, 10.1007/s11192-006-0122-0 Burrell, 2007, Hirsch’s h-index: A stochastic model, Journal of Informetrics, 1, 16, 10.1016/j.joi.2006.07.001 Burrell, 2007, Egghe’s construction of Lorenz curves resolved, Journal of the American Society for Information Science and Technology, 58, 2157, 10.1002/asi.20674 Burrell, 2008, Extending Lotkaian informetrics, Information Processing and Management, 44, 1794, 10.1016/j.ipm.2008.03.002 Egghe, 2002, Construction of concentration measures for general Lorenz curves using Riemann-Stieltjes integrals, Mathematical and Computer Modelling, 35, 1149, 10.1016/S0895-7177(02)00077-8 Egghe, 2005 Egghe, 2005, Zipfian and Lotkaian continuous concentration theory, Journal of the American Society for Information Science and Technology, 56, 935, 10.1002/asi.20186 Egghe, 2007, Dynamic h-index: The Hirsch index in function of time, Journal of the American Society for Information Science and Technology, 58, 452, 10.1002/asi.20473 Egghe, 2009, Mathematical derivation of the impact factor distribution, Journal of Informetrics, 3, 290, 10.1016/j.joi.2009.01.004 Egghe, 1992, Citation age data and the obsolescence function: Fits and explanations, Information Processing and Management, 28, 201, 10.1016/0306-4573(92)90046-3 Egghe, 1990 Egghe, 2006, An informetric model for the Hirsch-index, Scientometrics, 69, 121, 10.1007/s11192-006-0143-8 Gastwirth, 1971, A general definition of the Lorenz curve, Econometrica, 39, 1037, 10.2307/1909675 Glänzel, 2006, On the h-index—A mathematical approach to a new measure of publication activity and citation impact, Scientometrics, 67, 315, 10.1007/s11192-006-0102-4 Gupta, 1998, Growth and obsolescence of literature in theoretical population genetics, Scientometrics, 42, 335, 10.1007/BF02458376 Gupta, 2003, Representing the mean residual life in terms of the failure rate, Mathematical and Computer Modelling, 37, 1271, 10.1016/S0895-7177(03)90038-0 Hirsch, 2005, An index to quantify an individual’s scientific research output, Proceedings of the National Academy of Sciences of the United States of America, 102, 16569, 10.1073/pnas.0507655102 Hollander, 1975, Tests for mean residual life, Biometrika, 62, 585, 10.1093/biomet/62.3.585 Muth, 1977, Reliability models with positive memory derived from the mean residual life function, 401 Nair, 1991, Characterization of the Pearson family of distributions, IEEE Transactions on Reliability, 40, 75, 10.1109/24.75339 Nanda, 2010, Mean residual life function, associated orderings and properties, IEEE Transactions on Reliability, 59, 55, 10.1109/TR.2009.2035791 Ruiz, 1994, Characterization of distributions by relationships between failure rate and mean residual life, IEEE Transactions on Reliability, 43, 640, 10.1109/24.370215 Sarabia, 2008, A general definition of the Leimkuhler curve, Journal of Informetrics, 2, 156, 10.1016/j.joi.2008.01.002 Sarabia, 2008, Explicit expressions for the Leimkuhler curve in parametric families, Information Processing and Management, 44, 1808, 10.1016/j.ipm.2008.04.001 Waltman, 2009, Some comments on Egghe’s derivation of the impact factor distribution, Journal of Informetrics, 3, 363, 10.1016/j.joi.2009.05.004