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Original Articles

On diversity measures based on entropy functions

Pages 203-215 | Received 01 Mar 1984, Published online: 27 Jun 2007

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Steven G. From. (2003) Confidence Intervals for Gini's Diversity Measure and Shannon's Entropy Using Adjusted Proportions. Communications in Statistics - Theory and Methods 32:5, pages 935-954.
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M. Salicru, M.L. Menendez, D. Morales & L. Pardo. (1993) Asymptotic distribution of (h, φ)-entropies. Communications in Statistics - Theory and Methods 22:7, pages 2015-2031.
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K. Zografos, K. Ferentinos & T. Papaioannou. (1990) Divergence statistics: sampling properties and multinomial goodness of fit and divergence tests. Communications in Statistics - Theory and Methods 19:5, pages 1785-1802.
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Maria Angeles Gil. (1989) A note on stratification and gain in precision in estimating diversity from large samples. Communications in Statistics - Theory and Methods 18:4, pages 1521-1526.
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Covadonga Caso & Maria Angeles gil. (1988) The gini-simpson index of diversity: estimation in the stratified sampling. Communications in Statistics - Theory and Methods 17:9, pages 2981-2995.
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Michel Broniatowski & Wolfgang Stummer. (2023) A Precise Bare Simulation Approach to the Minimization of Some Distances. I. Foundations. IEEE Transactions on Information Theory 69:5, pages 3062-3120.
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Alex Karagrigoriou & Christos Meselidis. 2020. Statistical Topics and Stochastic Models for Dependent Data with Applications. Statistical Topics and Stochastic Models for Dependent Data with Applications 215 234 .
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Shihui Feng & Alec Kirkley. (2020) Mixing Patterns in Interdisciplinary Co-Authorship Networks at Multiple Scales. Scientific Reports 10:1.
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Sandrine Pavoine & Carlo Ricotta. (2019) A simple translation from indices of species diversity to indices of phylogenetic diversity. Ecological Indicators 101, pages 552-561.
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Tuyen Van Nguyen, Woon-Seok Cho, Hungsoo Kim, Il Hyo Jung, YongKuk Kim & Tae-Soo Chon. (2014) Inferring community properties of benthic macroinvertebrates in streams using Shannon index and exergy. Frontiers of Earth Science 8:1, pages 44-57.
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Guillaume Corriveau, Raynald Guilbault, Antoine Tahan & Robert Sabourin. (2012) Review and Study of Genotypic Diversity Measures for Real-Coded Representations. IEEE Transactions on Evolutionary Computation 16:5, pages 695-710.
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Mohsen Madadi & Mahbanoo Tata. (2009) Shannon information in record data. Metrika 74:1, pages 11-31.
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Di Cai. (2009) Determining semantic relatedness through the measurement of discrimination information using Jensen difference. International Journal of Intelligent Systems 24:5, pages 477-503.
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K. Zografos. (2008) On some entropy and divergence type measures of variability and dependence for mixed continuous and discrete variables. Journal of Statistical Planning and Inference 138:12, pages 3899-3914.
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Asok K. Nanda & Sudhansu S. Maiti. (2007) R?nyi information measure for a used item. Information Sciences 177:19, pages 4161-4175.
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Arjun K. Gupta, Solomon W. Harrar & Leandro Pardo. (2007) On testing homogeneity of variances for nonnormal models using entropy. Statistical Methods and Applications 16:2, pages 245-261.
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Elizabeth M. Gillet. (2007) Qualified Estimation of Two Measures of Diversity Within Populations. Biometrical Journal 49:2, pages 272-285.
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S. Nadarajah & K. Zografos. (2003) Formulas for Rényi information and related measures for univariate distributions. Information Sciences 155:1-2, pages 119-138.
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Domingo Morales & Leandro Pardo. (2001) Some approximations to power functions of ϕ-divergence tests in parametric models. Test 10:2, pages 249-269.
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Takis Papaioannou. 2000. Probability and Statistical Models with Applications. Probability and Statistical Models with Applications.
J. A. Pardo & M. C. Pardo. (1999) Small-sample comparisons for the Rukhin goodness-of-fit-statistics. Statistical Papers 40:2, pages 159-174.
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John Levi Martin. (1999) Entropic Measures of Belief System Constraint. Social Science Research 28:1, pages 111-134.
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D. Morales, L. Pardo & K. Zografos. (1998) Informational distances and related statistics in mixed continuous and categorical variables. Journal of Statistical Planning and Inference 75:1, pages 47-63.
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M.M. Mayoral. (1998) Renyi's entropy as an index of diversity in simple-stage cluster sampling. Information Sciences 105:1-4, pages 101-114.
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Esteban & D. Morales. (1997) On the asymptotic optimum allocation in estimating entropies. Kybernetes 26:1, pages 18-29.
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María Carmen Alonso & María Angeles Gil. 1995. Advances in Intelligent Computing — IPMU '94. Advances in Intelligent Computing — IPMU '94 210 216 .
K. Zografos. (1994) Asymptotic distributions of estimated f-dissimilarity between populations in stratified random sampling. Statistics & Probability Letters 21:2, pages 147-151.
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D. Morales, L. Pardo, M. Salicrú & M.L. Menéndez. (1993) The λ-divergence and the λ-mutual information: estimation in the stratified sampling. Journal of Computational and Applied Mathematics 47:1, pages 1-10.
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Ignacio Mart?nez, Mar?a Angeles Gil & Mar?a Teresa L?pez. (1992) Analysis of mutual information measures in cluster sampling. Applied Mathematics and Computation 52:2-3, pages 389-402.
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L. Pardo, J.A. Pardo & M.L. Menendez. (1992) Unified (r,s)-entropy as an index of diversity. Journal of the Franklin Institute 329:5, pages 907-921.
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D. Morales, I. J. Taneja & L. Pardo. (1991) Some statistical inferences regarding population diversity in terms of the hypoentropy measure. Trabajos de Estadistica 6:2, pages 55-65.
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María Angeles Gil & Pedro Gil. (1991) A procedure to test the suitability of a factor for stratification in estimating diversity. Applied Mathematics and Computation 43:3, pages 221-229.
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L. Pardo & I.J. Taneja. 1991. 165 241 .
María Angeles Gil & Pedro Gil. (1989) On some information measures of degree β = 2: estimation in simple-stage cluster sampling. Statistics & Probability Letters 8:2, pages 157-162.
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María Angeles Gil. (1989) A note on the choice of sample size in estimating the mutual information. Applied Mathematics and Computation 30:2, pages 125-132.
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M. A. Gil, C. Caso & P. Gil. (1989) Estudio asintotico de una clase de indices de desigualdad muestralesAsymptotic study of a class of sample inequality indices. Trabajos de Estadistica 4:1, pages 95-109.
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María Angeles Gil & Covadonga Caso. 1988. Uncertainty and Intelligent Systems. Uncertainty and Intelligent Systems 102 111 .
C. Rao & T. Nayak. (1985) Cross entropy, dissimilarity measures, and characterizations of quadratic entropy. IEEE Transactions on Information Theory 31:5, pages 589-593.
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