Estimating the Number of Classes in a Population

Archive Bibliography

Note: This bibliography contains all references known to us as of 08/01/2007, touching on the area of estimating the number of classes in a population. It includes (but is not limited to) the extended bibliography mentioned in the Bunge & Fitzpatrick 1993 review article. There are both applied and theoretical references (the theoretical list is more complete than the applied, due to the wide scope of the latter). We continually update the list, and we greatly appreciate contributions, suggestions or corrections: please send email with these to  .

Acinas, S. G., et al. (29 Jul 2004) "Fine-Scale Phylogenetic Architecture of a Complex Bacterial Community." Nature. 430: 551-4.

Agustin, M. A., and E. A. Pena. (1999) "A Dynamic Competing Risks Model." Probability in the Engineering and Informational Sciences. 13(3): 333-58.

Ahmad, M., S. Alalouf, and Y. P. Chaubey. (2000) "Estimation of the Population Total when the Population Size is Unknown." Statistics & Probability Letters . 49(3): 211-6.

Akmaev, V. R., and C. J. Wang. (2004) "Correction of Sequence-Based Artifacts in Serial Analysis of Gene Expression." Bioinformatics . 20(8): 1254-63.

Alatalo, R. V. (1981) "Problems in the Measurement of Evenness in Ecology." Oikos. 37(2): 199-204.

Alho, J. M. (1990) "Adjusting for Nonresponse Bias using Logistic-Regression." Biometrika. 77(3): 617-24.

---. (1990) "Logistic-Regression in Capture Recapture Models." Biometrics. 46(3): 623-35.

Almudevar, A., R. N. Bhattacharya, and C. C. A. Sastri. (2000) "Estimating the Probability Mass of Unobserved Support in Random Sampling." Journal Of Statistical Planning And Inference. 91(1): 91-105.

Alpizar-Jara, R., J. D. Nichols, J. E. Hines, J. R. Sauer, K. H. Pollock, and C. S. Rosenberry. (2004) "The Relationship between Species Detection Probability and Local Extinction Probability." Oecologia. 141(4): 652-60.

Alroy, J. (2000) "Successive Approximations of Diversity Curves: Ten More Years in the Library." Geology. 28(11): 1023-6.

Andersen, E. B. (1982) "Latent Structure-Analysis: A Survey." Scandinavian Journal Of Statistics. 9(1): 1-12.

---. (1982) "Latent Trait Models and Ability Parameter-Estimation." Applied Psychological Measurement. 6(4): 445-61.

Andersen, R. A., R. W. Brett, D. Potter, and J. P. Sexton. (1998) "Phylogeny of the Eustigmatophyceae Based upon 18S rDNA, with Emphasis on Nannochloropsis." Protist. 149(1): 61-74.

Andersen, R. A. (1998) "What to do with Protists?" Australian Systematic Botany. 11(2): 185-201.

Anderson, A. J. B., and S. T. Buckland. "Validation and Analysis of Species Distribution Data with Particular Reference to the North-East Scotland Bird Atlas." Elsevier Science Publishers B. B, 1986. 643-654.

Anderson, D. R., K. P. Burnham, and B. R. Crain. (1979) "Line Transect Estimation of Population-Size - Exponential Case with Grouped Data." Communications In Statistics Part A-Theory And Methods. 8(5): 487-507.

Anderson, J., H. Anderson, P. Fatti, and H. Sichel. (1996) "The Triassic Explosion: A Statistical Model for Extrapolating Biodiversity Based on the Terrestrial Molteno Formation." Paleobiology. 22(3): 318-28.

Anderssen, R. S., Y. Wu, R. Dolferus, and I. Saunders. (2004) "An a Posteriori Strategy for Enhancing Gene Discovery in Anonymous cDNA Microarray Experiments." Bioinformatics. 20(11): 1721-7.

Andersson, T., P. Unneberg, P. Nilsson, J. Odeberg, J. Quackenbush, and J. Lundeberg. (2002) "Monitoring of Representational Difference Analysis Subtraction Procedures by Global Microarrays." BioTechniques. 32(6): 1348,+.

Bai, D. S., and Y. I. Kwon. (1994) "An Economic Sequential Screening-Procedure for Limited Failure Populations." Naval Research Logistics. 41(4): 523-35.

Baker, F. B. (1987) "Methodology Review - Item Parameter-Estimation Under the One Parameter Logistic-Models." Applied Psychological Measurement. 11(2): 111-41.

Bambach, R. K., A. H. Knoll, and S. C. Wang. (2004) "Origination, Extinction, and Mass Depletions of Marine Diversity." Paleobiology. 30(4): 522-42.

Barger, Kathryn J. Mixtures of Exponential Distributions to Describe the Distribution of Poisson Means in Estimating the Number of Unobserved Classes. M. S. Statistical Science Cornell University, 2006 http://dspace.library.cornell.edu/bitstream/1813/2953/1/mythesis.pdf

Barlow, R. E., and N. D. Singpurwalla. (1985) "Assessing the Reliability of Computer Software and Computer-Networks - an Opportunity for Partnership with Computer Scientists." American Statistician. 39(2): 88-94.

Barndorff-Nielsen, O. E., P. Blaesild, and V. Seshadri. (1992) "Multivariate Distributions with Generalized Inverse Gaussian Marginals, and Associated Poisson Mixtures." Canadian Journal Of Statistics-Revue Canadienne De Statistique. 20(2): 109-20.

Barndorff-Nielsen, O. (1977) "Exponentially Decreasing Distributions for the Logarithm of Particle Size." Proceedings of the Royal Society of London A. 353: 401-19.

Barnett, D. T., and T. J. Stohlgren. (2003) "A Nested-Intensity Design for Surveying Plant Diversity." Biodiversity and Conservation. 12(2): 255-78.

Barouch, E., G. M. Kaufman, and J. Nelligan. "Estimation of Parameters of Oil and Gas Discovery Process Models using the Expectation-Maximization Algorithm." Energy Modelling and Simulation. Ed. A. S. Kydes, et al. New York: North-Holland Publishing, 1983. 109-117.

Barouch, E., and G. M. Kaufman. (1977) "Estimation of Undiscovered Oil and Gas." Ed. P. D. Lax, Mathematical Aspects of Production and Distribution of Energy: Proc. Symp. in Applied Mathematics, San Antonio, TX, 21: 77-91.

---. "Probabilistic Modelling of Oil and Gas Discovery." Mathematics and Models. Ed. F. S. Roberts. Philadelphia: SIAM, 1976. 248-260.

Barry, S. C., and T. J. O'Neill. (2000) "The Analysis of Group Truncated Binary Data with Random Effects: Injury Severity in Motor Vehicle Accidents." Biometrics. 56(2): 443-50.

Bartolucci, F., and A. Forcina. (2001) "Analysis of Capture-Recapture Data with a Rasch-Type Model Allowing for Conditional Dependence and Multidimensionality." Biometrics. 57(3): 714-9.

Bayarri, M. J., and M. H. Degroot. (1987) "Bayesian-Analysis of Selection Models." Statistician. 36(2-3): 137-46.

Bayley, P. B., and J. T. Peterson. (2001) "An Approach to Estimate Probability of Presence and Richness of Fish Species." Transactions of the American Fisheries Society. 130(4): 620-33.

Beaugrand, G., and M. Edwards. (2001) "Differences in Performance among Four Indices used to Evaluate Diversity in Planktonic Ecosystems." Oceanologica Acta. 24(5): 467-77.

Becker, C. D., and A. Agreda. (2005) "Bird Community Differences in Mature and Second Growth Garua Forest in Machalilla National Park, Ecuador." Ornitologia Neotropical. 16(3): 297-319.

Bedrick, E. J. (1994) "Maximum-Likelihood-Estimation for the Removal Method." Canadian Journal Of Statistics-Revue Canadienne De Statistique. 22(2): 285-93.

Behnke, A., J. Bunge, K. Barger, H. W. Breiner, V. Alla, and T. Stoeck. (2006) "Microeukaryote Community Patterns Along an O-2." Applied and Environmental Microbiology. 72(5): 3626-36.

Bell, B. D., M. Borowiec, J. Lontkowski, and S. Pledger. (2004) "Short Records of Marsh Warbler (Acrocephalus Palustris) Song Provide Indices that Correlate with Nesting Success." Journal of Ornithology. 145(1): 8-15.

Berger, J. O. (1985) Statistical Decision Theory and Bayesian Analysis (2nd Ed.). New York: Springer-Verlag.

Bernard, E., and M. B. Fenton. (2002) "Species Diversity of Bats (Mammalia: Chiroptera) in Forest Fragments, Primary Forests, and Savannas in Central Amazonia, Brazil." Canadian Journal Of Zoology-Revue Canadienne De Zoologie. 80(6): 1124-40.

Betro, B., and R. Zielinski. (1987) "A Monte Carlo Study of a Bayesian Decision Rule Concerning the Number of Different Values of a Discrete Random Variable." Communications in Statistics, Part B-Simulation and Computation. 16(4): 925-38.

Bhat, A. (2003) "Diversity and Composition of Freshwater Fishes in River Systems of Central Western Ghats, India." Environmental Biology of Fishes. 68(1): 25-38.

Bickel, P. J., V. N. Nair, and P. C. C. Wang. (1992) "Nonparametric-Inference Under Biased Sampling from a Finite Population." Annals of Statistics. 20(2): 853-78.

Bickel, P. J., and J. A. Yahav. "On Estimating the Number of Unseen Species and System Reliability." New York: Springer-Verlag, 1988. pp. 265-271.

---. "On Estimating the Total Probability of the Unobserved Outcomes of an Experiment." Hayward, California: Institute of Mathematical Statistics, 1986. pp. 332-337.

---. "Technical Report no. 43." Berkely, California: University of California, Berkley, 1985

Blackburn, T. M., P. H. Harvey, and M. D. Pagel. (1990) "Species Number, Population Density and Body Size Relationships in Natural Communities." Journal of Animal Ecology. 59: 335-45.

Blom, G., and L. Holst. (1991) "Embedding Procedures for Discrete Problems in Probability." Mathematical Scientist. 16: 29-40.

Bloomfield, P., et al. "Volume and Area of Oil Fields and their Impact on Order of Discovery." Departments of Statistics and Geology, Princeton University, 1979

Blumenthal, S., R. C. Dahiya, and A. J. Gross. (1978) "Estimating Complete Sample-Size from an Incomplete Poisson Sample." Journal Of The American Statistical Association. 73(361): 182-7.

Blumenthal, S., and R. C. Dahiya. (1981) "Estimating the Binomial Parameter-N." Journal Of The American Statistical Association. 76(376): 903-9.

---. (1995) "Estimation of Sample-Size with Grouped Data." Journal Of Statistical Planning And Inference. 44(1): 95-115.

Blumenthal, S., and R. Marcus. (1975) "Estimating Population-Size with Exponential Failure." Journal Of The American Statistical Association. 70(352): 913-21.

Blumenthal, S., and L. Sanathanan. (1980) "Estimation with Truncated Inverse Binomial Sampling." Communications In Statistics Part A-Theory And Methods. 9(10): 997-1017.

Blumenthal, S. (1985) "Asymptotic Expansions for Modified Maximum-Likelihood Estimators with Percentile Truncated Data." Communications In Statistics-Theory And Methods. 14(4): 905-25.

---. (1988) "Estimating N with Percentile Grouped and Truncated Data from A Scale Parameter Distribution." Communications In Statistics-Theory And Methods. 17(11): 3607-28.

---. (1987) "Estimating N with Time Grouped and Truncated Data from A Scale Parameter Distribution." Communications In Statistics-Theory And Methods. 16(4): 1161-79.

---. (1977) "Estimating Population-Size with Truncated Sampling." Communications In Statistics Part A-Theory And Methods. 6(4): 297-308.

---. (1992) "Population Size Estimation with Truncated Data: A Survey." Bayesian analysis in statistics and econometrics (Bangalore, 1988). 75: 361--367.

---. (1982) "Stochastic Expansions for Point Estimation from Truncated Samples." Sankhya Ser.A. 44(3): 436--451.

---. (1981) "A Survey of Estimating Distributional Parameters and Sample Sizes from Truncated Samples." Statistical distributions in scientific work, Vol.5 (Trieste, 1980). 79: 75--86.

Bodnar, J. W., J. Killian, M. Nagle, and S. Ramchandani. (1997) "Deciphering the Language of the Genome." Journal of theoretical biology. 189(2): 183-93.

Boender, C. G. E., and A. Kan. (1983) "A Bayesian-Analysis of the Number of Cells of A Multinomial Distribution." Statistician. 32(1-2): 240-8.

Boender, C. G. E., and A. H. G. R. Kan. (1987) "A MULTINOMIAL BAYESIAN-APPROACH TO THE ESTIMATION OF POPULATION AND VOCABULARY SIZE." Biometrika. 74(4): 849-56.

Boender, C. G. E., and R. Zielinski. "A Sequential Bayesian Approach to Estimating the Dimension of a Multinomial Distribution." Warsaw: Polish Scientific Publishers, 1985. pp. 37-42.

Bohning, D., and R. Kuhnert. (2006) "Equivalence of Truncated Count Mixture Distributions and Mixtures of Truncated Count Distributions." Biometrics. 62(4): 1207-15.

Bohning, D., B. Suppawattanabodee, W. Kusolvisitkul, and C. Viwatwongkasem. (2004) "Estimating the Number of Drug Users in Bangkok 2001: A Capture-Recapture Approach using Repeated Entries in One List." European journal of epidemiology. 19(12): 1075-83.

Bohning, Dankmar, and Dieter Schon. (2005) "Nonparametric Maximum Likelihood Estimation of Population Size Based on the Counting Distribution." Journal of the Royal Statistical Society: Series C (Applied Statistics). 54(3)

Boneh, S., A. Boneh, and R. J. Caron. (1998) "Estimating the Prediction Function and the Number of Unseen Species in Sampling with Replacement." Journal Of The American Statistical Association. 93(441): 372-9.

Bookstein, A. (1974) "Hash Coding with a Non-Unique Search Key." Journal of the American Society for Information Science. : 232-6.

---. (1974) "A Hybrid Access Method for Bibliographic Records." Journal of Library Automation. 7(2): 97-104.

---. (1990) "Informetric Distributions, Part I: Unified Overview." Journal of the American Society for Information Science. 41(5): 368-75.

---. (1990) "Informetric Distributions, Part II: Resilience to Ambiguity." Journal of the American Society for Information Science. 41(5): 376-86.

---. (1973) "Statistical Behavior of Search Keys." Journal of Library Automation. 6(2): 109-16.

Booth, A. D. (1967) "A Law of Occurrences for Words of Low Frequency." Information and Control. 70: 386-93.

Borchers, D. L., S. T. Buckland, and W. Zucchini. (2001) Estimating Animal Abundance. 1st ed. Springer.

Borgella, R., and T. A. Gavin. (2005) "Avian Community Dynamics in a Fragmented Tropical Landscape." Ecological Applications. 15(3): 1062-73.

Boulinier, T., J. D. Nichols, J. E. Hines, J. R. Sauer, C. H. Flather, and K. H. Pollock. (2001) "Forest Fragmentation and Bird Community Dynamics: Inference at Regional Scales." Ecology. 82(4): 1159-69.

---. (1998) "Higher Temporal Variability of Forest Breeding Bird Communities in Fragmented Landscapes." Proceedings of the National Academy of Sciences of the United States of America. 95(13): 7497-501.

Boulinier, T., J. D. Nichols, J. R. Sauer, J. E. Hines, and K. H. Pollock. (1998) "Estimating Species Richness: The Importance of Heterogeneity in Species Detectability." Ecology. 79(3): 1018-28.

Bouneauld, C., Z. Garcia, P. Kourilsky, and C. Pannetier. (2005) "Lineage Relationships, Homeostasis, and Recall Capacities of Central- and Effector-Memory CD8 T Cells in Vivo." Journal of Experimental Medicine. 201(4): 579-90.

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---. (1961) "A Study of the Statistics of Letters in English Words." Information and Control. 4: 48-67.

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Boyce, M. S., D. I. MacKenzie, B. F. J. Manly, M. A. Haroldson, and D. Moody. (2001) "Negative Binomial Models for Abundance Estimation of Multiple Closed Populations." Journal of Wildlife Management. 65(3): 498-509.

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---. (1972) "Relation between Types and Tokens in Literary Text." Journal of Applied Probability. 9(3): 507,&.

---. (1981) "Some Elaborations upon Gani Model for the Type-Token Relationship." Journal of Applied Probability. 18(2): 452-60.

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---. (1984) "Towards Informetrics: Haitun, Laplace, Zipf, Bradford and the Alvey Programme." Journal of Documentation. 40(2): 120-43.

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Brose, U., N. D. Martinez, and R. J. Williams. (2003) "Estimating Species Richness: Sensitivity to Sample Coverage and Insensitivity to Spatial Patterns." Ecology. 84(9): 2364-77.

Brose, U., and N. D. Martinez. (2004) "Estimating the Richness of Species with Variable Mobility." Oikos. 105(2): 292-300.

Brose, U. (2002) "Estimating Species Richness of Pitfall Catches by Non-Parametric Estimators." Pedobiologia. 46(2): 101-7.

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Bunge, J., S. S. Epstein, and D. G. Peterson. (2006) "Comment on "Computational Improvements Reveal Great Bacterial Diversity and High Metal Toxicity in Soil". Science. 313(5789)

Bunge, J., M. Fitzpatrick, and J. Handley. (1995) "Comparison of 3 Estimators of the Number of Species." Journal Of Applied Statistics. 22(1): 45-59.

Bunge, J., and M. Fitzpatrick. (1993) "Estimating the Number of Species - A Review." Journal Of The American Statistical Association. 88(421): 364-73.

---. "Estimating the Number of Species: Recent Developments." Technical Report #91-31.Cornell University Statistics Center, 1991

Bunge, J. A., and J. C. Handley. (1991) "Sampling to Estimate the Number of Duplicates in a Database." Computational Statistics and Data Analysis. 11(1)

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---. (1979) "Robust Estimation of Population-Size when Capture Probabilities Vary among Animals." Ecology. 60(5): 927-36.

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---. (1989) "On the Growth of Bibliographies with Time: An Exercise in Bibliometric Prediction." Journal of Documentation. 45(4): 302-17.

---. (1988) "A Simple Empirical Method for Predicting Library Circulations." Journal of Documentation. 44(4): 302-14.

---. (1980) "A Simple Stochastic Model for Library Loans." Journal of Documentation. 36: 115-32.

---. (1990) "Using the Gamma-Poisson Model to Predict Library Circulations." Journal of the American Society for Information Science. 41: 164-70.

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Cam, E., J. D. Nichols, J. R. Sauer, J. E. Hines, and C. H. Flather. (2000) "Relative Species Richness and Community Completeness: Birds and Urbanization in the Mid-Atlantic States." Ecological Applications. 10(4): 1196-210.

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Cam, E., J. R. Sauer, J. D. Nichols, J. E. Hines, and C. H. Flather. (2000) "Geographic Analysis of Species Richness and Community Attributes of Forest Birds from Survey Data in the Mid-Atlantic Integrated Assessment Region." Environmental monitoring and assessment. 63(1): 81-94.

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Chao, A., and S. H. Chang. (1999) "An Estimating Function Approach to the Inference of Catch-Effort Models." Environmental and Ecological Statistics. 6(3): 313-34.

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Chao, A., W. H. Hwang, Y. C. Chen, and C. Y. Kuo. (2000) "Estimating the Number of Shared Species in Two Communities." Statistica Sinica. 10(1): 227-46.

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Chao, A., M. C. Ma, and M. C. K. Yang. (1993) "Stopping Rules and Estimation for Recapture Debugging with Unequal Failure Rates." Biometrika. 80(1): 193-201.

Chao, A., and T. J. Shen. (2003) "Nonparametric Estimation of Shannon's Index of Diversity when there are Unseen Species in Sample." Environmental and Ecological Statistics. 10(4): 429-43.

---. (2004) "Nonparametric Prediction in Species Sampling." Journal Of Agricultural Biological And Environmental Statistics. 9(3): 253-69.

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---. (1984) "Nonparametric Estimation of the Number of Classes in a Population." Scandinavian Journal of Statistics, Theory and Applications. 11(4): 265-70.

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---. (1982) "On Estimating the Probability of Discovering a New Species (Correction)." Annals of Statistics. 10(4): 1311

---. (2001) "An Overview of Closed Capture-Recapture Models." Journal Of Agricultural Biological And Environmental Statistics. 6(2): 158-75.

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---. (1980) "On the Weak Form of Zipf's Law." Journal of Applied Probability. 17: 611-22.

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