-
1
-
-
0001388569
-
On a statistical estimate for the entropy of a sequence of independent random variables
-
Basharin, G. (1959) On a statistical estimate for the entropy of a sequence of independent random variables. Theory of Probability and its Applications, 4, 333-336.
-
(1959)
Theory of Probability and its Applications
, vol.4
, pp. 333-336
-
-
Basharin, G.1
-
2
-
-
78449238877
-
Comparing measures of species diversity from incomplete inventories: an update
-
Beck, J. & Schwanghart, W. (2010) Comparing measures of species diversity from incomplete inventories: an update. Methods in Ecology and Evolution, 1, 38-44.
-
(2010)
Methods in Ecology and Evolution
, vol.1
, pp. 38-44
-
-
Beck, J.1
Schwanghart, W.2
-
4
-
-
28744439389
-
Species estimation and applications
-
S. Kotz, N. Balakrishnan, C.B. Read & B. Vidakovic) Wiley, New York.
-
Chao, A. (2005) Species estimation and applications. Encyclopedia of Statistical Sciences, Vol.12, (eds S. Kotz, N. Balakrishnan, C.B. Read & B. Vidakovic ), pp. 7907-7916. Wiley, New York.
-
(2005)
Encyclopedia of Statistical Sciences
, vol.12
, pp. 7907-7916
-
-
Chao, A.1
-
5
-
-
84871737233
-
Coverage-based rarefaction and extrapolation: standardizing samples by completeness rather than size
-
Chao, A. & Jost, L. (2012) Coverage-based rarefaction and extrapolation: standardizing samples by completeness rather than size. Ecology, 93, 2533-2547.
-
(2012)
Ecology
, vol.93
, pp. 2533-2547
-
-
Chao, A.1
Jost, L.2
-
6
-
-
0344898137
-
Nonparametric estimation of Shannon's index of diversity when there are unseen species
-
Chao, A. & Shen, T.J. (2003) Nonparametric estimation of Shannon's index of diversity when there are unseen species. Environmental and Ecological Statistics, 10, 429-443.
-
(2003)
Environmental and Ecological Statistics
, vol.10
, pp. 429-443
-
-
Chao, A.1
Shen, T.J.2
-
7
-
-
49649098548
-
A Two-stage probabilistic approach to multiple-community similarity indices
-
Chao, A., Jost, L., Chiang, S.C., Jiang, Y.-H. & Chazdon, R. (2008) A Two-stage probabilistic approach to multiple-community similarity indices. Biometrics, 64, 1178-1186.
-
(2008)
Biometrics
, vol.64
, pp. 1178-1186
-
-
Chao, A.1
Jost, L.2
Chiang, S.C.3
Jiang, Y.-H.4
Chazdon, R.5
-
8
-
-
84893294439
-
Phylogenetic beta diversity, similarity, and differentiation measures based on Hill numbers
-
Chiu, C.-H., Jost, L. & Chao, A. (2013) Phylogenetic beta diversity, similarity, and differentiation measures based on Hill numbers. Ecological Monographs, doi: http://dx.doi.org/10.1890/12-0960.1.
-
(2013)
Ecological Monographs
-
-
Chiu, C.-H.1
Jost, L.2
Chao, A.3
-
9
-
-
84862908094
-
Models and estimators linking individual-based and sample-based rarefaction, extrapolation, and comparison of assemblage
-
Colwell, R.K., Chao, A., Gotelli, N.J., Lin, S.Y., Mao, C.X., Chazdon, R.L. & Longino, J.T. (2012) Models and estimators linking individual-based and sample-based rarefaction, extrapolation, and comparison of assemblage. Journal of Plant Ecology, 5, 3-21.
-
(2012)
Journal of Plant Ecology
, vol.5
, pp. 3-21
-
-
Colwell, R.K.1
Chao, A.2
Gotelli, N.J.3
Lin, S.Y.4
Mao, C.X.5
Chazdon, R.L.6
Longino, J.T.7
-
10
-
-
0002631876
-
The relation between the number of species and the number of individuals in a random sample of an animal population
-
Fisher, R.A., Corbet, A.S. & Williams, C.B. (1943) The relation between the number of species and the number of individuals in a random sample of an animal population. Journal of Animal Ecology, 12, 42-58.
-
(1943)
Journal of Animal Ecology
, vol.12
, pp. 42-58
-
-
Fisher, R.A.1
Corbet, A.S.2
Williams, C.B.3
-
11
-
-
0000803388
-
The population frequencies of species and the estimation of population parameters
-
Good, I.J. (1953) The population frequencies of species and the estimation of population parameters. Biometrika, 40, 237-264.
-
(1953)
Biometrika
, vol.40
, pp. 237-264
-
-
Good, I.J.1
-
12
-
-
0034349144
-
Turing's anticipation of empirical Bayes in connection with the cryptanalysis of the naval enigma
-
Good, I.J. (2000) Turing's anticipation of empirical Bayes in connection with the cryptanalysis of the naval enigma. Journal of Statistical Computation and Simulation, 66, 101-111.
-
(2000)
Journal of Statistical Computation and Simulation
, vol.66
, pp. 101-111
-
-
Good, I.J.1
-
13
-
-
85042822706
-
Measuring and estimating species richness, species diversity, and biotic similarity from sampling data
-
2nd edn (ed. S.A. Levin), Elsevier, New York.
-
Gotelli, N.J. & Chao, A. (2013) Measuring and estimating species richness, species diversity, and biotic similarity from sampling data. The Encyclopedia of Biodiversity, 2nd edn (ed. S.A. Levin ), Elsevier, New York.
-
(2013)
The Encyclopedia of Biodiversity
-
-
Gotelli, N.J.1
Chao, A.2
-
14
-
-
84887194532
-
-
Entropy estimates from insufficient samplings. URL. arXiv:physics/0307138v2. Updated 2008.
-
Grassberger, P. (2003) Entropy estimates from insufficient samplings. URL www.arxiv.org. arXiv:physics/0307138v2. Updated 2008.
-
(2003)
-
-
Grassberger, P.1
-
15
-
-
68949161935
-
Entropy inference and the James-Stein estimator, with application to nonlinear gene association networks
-
Hausser, J. & Strimmer, K. (2009) Entropy inference and the James-Stein estimator, with application to nonlinear gene association networks. The Journal of Machine Learning Research, 10, 1469-1484.
-
(2009)
The Journal of Machine Learning Research
, vol.10
, pp. 1469-1484
-
-
Hausser, J.1
Strimmer, K.2
-
16
-
-
0001427876
-
Measurement of overlap in comparative ecological studies
-
Horn, H.S. (1966) Measurement of overlap in comparative ecological studies. American Naturalist, 100, 419-424.
-
(1966)
American Naturalist
, vol.100
, pp. 419-424
-
-
Horn, H.S.1
-
19
-
-
38449096471
-
Partitioning diversity into independent alpha and beta components
-
Jost, L. (2007) Partitioning diversity into independent alpha and beta components. Ecology, 88, 2427-2439.
-
(2007)
Ecology
, vol.88
, pp. 2427-2439
-
-
Jost, L.1
-
20
-
-
77956413166
-
The relation between evenness and diversity
-
Jost, L. (2010) The relation between evenness and diversity. Diversity, 2, 207-232.
-
(2010)
Diversity
, vol.2
, pp. 207-232
-
-
Jost, L.1
-
21
-
-
0343618412
-
When species accumulation curves intersect: implications for ranking diversity using small samples
-
Lande, R., DeVries, P.J. & Walla, T.R. (2000) When species accumulation curves intersect: implications for ranking diversity using small samples. Oikos, 89, 601-605.
-
(2000)
Oikos
, vol.89
, pp. 601-605
-
-
Lande, R.1
DeVries, P.J.2
Walla, T.R.3
-
22
-
-
0000244010
-
The apportionment of human diversity
-
Lewontin, R. (1972) The apportionment of human diversity. Evolutionary Biology, 6, 381-398.
-
(1972)
Evolutionary Biology
, vol.6
, pp. 381-398
-
-
Lewontin, R.1
-
23
-
-
0001372773
-
Fluctuations of animal populations and a measure of community stability
-
MacArthur, R.H. (1955) Fluctuations of animal populations and a measure of community stability. Ecology, 36, 533-536.
-
(1955)
Ecology
, vol.36
, pp. 533-536
-
-
MacArthur, R.H.1
-
25
-
-
0000258972
-
Patterns of species diversity
-
MacArthur, R.H. (1965) Patterns of species diversity. Biological Reviews, 40, 510-533.
-
(1965)
Biological Reviews
, vol.40
, pp. 510-533
-
-
MacArthur, R.H.1
-
28
-
-
84858342314
-
The decomposition of Shannon's entropy and a confidence interval for beta diversity
-
Marcon, E., Hérault, B., Baraloto, C. & Lang, G. (2012) The decomposition of Shannon's entropy and a confidence interval for beta diversity. Oikos, 121, 516-522.
-
(2012)
Oikos
, vol.121
, pp. 516-522
-
-
Marcon, E.1
Hérault, B.2
Baraloto, C.3
Lang, G.4
-
29
-
-
0002542478
-
Information theory in ecology
-
Margalef, R. (1958) Information theory in ecology. General Systems, 3, 36-71.
-
(1958)
General Systems
, vol.3
, pp. 36-71
-
-
Margalef, R.1
-
30
-
-
0002970941
-
Patterns of species abundance and distribution
-
eds M.C. Cody & J.M. Diamond) Belknap Press, Cambridge.
-
May, R.M. (1975) Patterns of species abundance and distribution. Ecology and Evolution of Communities (eds M.C. Cody & J.M. Diamond ), pp. 81-120. Belknap Press, Cambridge.
-
(1975)
Ecology and Evolution of Communities
, pp. 81-120
-
-
May, R.M.1
-
31
-
-
0024898808
-
Documenting completeness, species-area relations, and the species-abundance distribution of a regional flora
-
Miller, R.I. & Wiegert, R.G. (1989) Documenting completeness, species-area relations, and the species-abundance distribution of a regional flora. Ecology, 70, 16-22.
-
(1989)
Ecology
, vol.70
, pp. 16-22
-
-
Miller, R.I.1
Wiegert, R.G.2
-
32
-
-
84887181453
-
-
Unbiased estimators for entropy and class number. Unpublished notes. URL
-
Montgomery-Smith, S. & Schürmann, T. (2007) Unbiased estimators for entropy and class number. Unpublished notes. URL http://www.math.missouri.edu/~stephen/preprints/class-novel2.pdf
-
(2007)
-
-
Montgomery-Smith, S.1
Schürmann, T.2
-
33
-
-
84898931392
-
Entropy and inference, revisited
-
(eds T.G. Dietterich, S. Becker & S.Z. Ghahramani), MIT Press, Cambridge.
-
Nemenman, I., Shafee, F. & Bialek, W. (2002) Entropy and inference, revisited. Advances in Neural Information Processing Systems, Vol. 14 (eds T.G. Dietterich, S. Becker & S.Z. Ghahramani ), MIT Press, Cambridge.
-
(2002)
Advances in Neural Information Processing Systems
, vol.14
-
-
Nemenman, I.1
Shafee, F.2
Bialek, W.3
-
34
-
-
16244364825
-
Species richness estimators: how many species can dance on the head of a pin?
-
O'Hara, R.B. (2005) Species richness estimators: how many species can dance on the head of a pin? Journal of Animal Ecology, 74, 375-386.
-
(2005)
Journal of Animal Ecology
, vol.74
, pp. 375-386
-
-
O'Hara, R.B.1
-
35
-
-
0942299969
-
A unified mathematical framework for the measurement of richness and evenness within and among multiple communities
-
Olszewski, T.D. (2004) A unified mathematical framework for the measurement of richness and evenness within and among multiple communities. Oikos, 104, 377-387.
-
(2004)
Oikos
, vol.104
, pp. 377-387
-
-
Olszewski, T.D.1
-
36
-
-
0041877169
-
Estimation of entropy and mutual information
-
Paninski, L. (2003) Estimation of entropy and mutual information. Neural Computation, 15, 1191-1253.
-
(2003)
Neural Computation
, vol.15
, pp. 1191-1253
-
-
Paninski, L.1
-
38
-
-
84863995930
-
Biodiversity assessment in incomplete inventories: leaf litter ant communities in several types of Bornean rain forest
-
Pfeiffer, M. & Mezger, D. (2012) Biodiversity assessment in incomplete inventories: leaf litter ant communities in several types of Bornean rain forest. PLoS ONE, 7, e40729.
-
(2012)
PLoS ONE
, vol.7
-
-
Pfeiffer, M.1
Mezger, D.2
-
40
-
-
0037460092
-
On parametric evenness measures
-
Ricotta, C. (2003) On parametric evenness measures. Journal of Theoretical Biology, 222, 189-197.
-
(2003)
Journal of Theoretical Biology
, vol.222
, pp. 189-197
-
-
Ricotta, C.1
-
41
-
-
84856043672
-
The mathematical theory of communication
-
Shannon, C.E. (1948) The mathematical theory of communication. Bell System Technical Journal, 27, 379-423.
-
(1948)
Bell System Technical Journal
, vol.27
, pp. 379-423
-
-
Shannon, C.E.1
-
42
-
-
77956415338
-
Entropy and information approaches to genetic diversity and its expression: genomic geography
-
Sherwin, W.B. (2010) Entropy and information approaches to genetic diversity and its expression: genomic geography. Entropy, 12, 1765-1798.
-
(2010)
Entropy
, vol.12
, pp. 1765-1798
-
-
Sherwin, W.B.1
-
43
-
-
33747039208
-
Measurement of biological information with applications from genes to landscapes
-
Sherwin, W.B., Jabot, F., Rush, R. & Rossetto, M. (2006) Measurement of biological information with applications from genes to landscapes. Molecular Ecology, 15, 2857-2869.
-
(2006)
Molecular Ecology
, vol.15
, pp. 2857-2869
-
-
Sherwin, W.B.1
Jabot, F.2
Rush, R.3
Rossetto, M.4
-
44
-
-
0034742447
-
Information theory in ecology
-
Ulanowicz, R.E. (2001) Information theory in ecology. Computers and Chemistry, 25, 393-399.
-
(2001)
Computers and Chemistry
, vol.25
, pp. 393-399
-
-
Ulanowicz, R.E.1
-
45
-
-
38649136181
-
Approaches to information-theoretic analysis of neural activity
-
Victor, J.D. (2006) Approaches to information-theoretic analysis of neural activity. Biological Theory, 1, 302-316.
-
(2006)
Biological Theory
, vol.1
, pp. 302-316
-
-
Victor, J.D.1
-
46
-
-
84861946892
-
Estimation of the entropy based on its polynomial representation
-
Vinck, M., Battaglia, F.P., Balakirsky, V.B., Vinck, A.J.H. & Pennartz, C.M.A. (2012) Estimation of the entropy based on its polynomial representation. Physical Review E, 85, 051139.
-
(2012)
Physical Review E
, vol.85
, pp. 051139
-
-
Vinck, M.1
Battaglia, F.P.2
Balakirsky, V.B.3
Vinck, A.J.H.4
Pennartz, C.M.A.5
-
47
-
-
34548391942
-
Coverage-adjusted entropy estimation
-
Vu, V.Q., Yu, B. & Kass, R.E. (2007) Coverage-adjusted entropy estimation. Statistics in Medicine, 26, 4039-4060.
-
(2007)
Statistics in Medicine
, vol.26
, pp. 4039-4060
-
-
Vu, V.Q.1
Yu, B.2
Kass, R.E.3
-
48
-
-
0000007546
-
Jackknifing an index of diversity
-
Zahl, S. (1977) Jackknifing an index of diversity. Ecology, 58, 907-913.
-
(1977)
Ecology
, vol.58
, pp. 907-913
-
-
Zahl, S.1
-
49
-
-
84861163544
-
Entropy estimation in Turing's perspective
-
Zhang, Z. (2012) Entropy estimation in Turing's perspective. Neural Computation, 24, 1368-1389.
-
(2012)
Neural Computation
, vol.24
, pp. 1368-1389
-
-
Zhang, Z.1
|