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Estimating the number of clusters in a data set via the gap statistic

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  1. Lukasz Skowron & Monika Sak-Skowron & Marcin Gasior, 2021. "Enterprises' Classification According to Required Employees’ Competencies Profile," European Research Studies Journal, European Research Studies Journal, vol. 0(Special 2), pages 224-240.
  2. Pudyatmoko, Satyawan & Budiman, Arief & Kristiansen, Stein, 2018. "Towards sustainable coexistence: People and wild mammals in Baluran National Park, Indonesia," Forest Policy and Economics, Elsevier, vol. 90(C), pages 151-159.
  3. Sakouvogui Kekoura & Shaik Saleem & Addey Kwame Asiam, 2020. "Cluster-Adjusted DEA Efficiency in the presence of Heterogeneity: An Application to Banking Sector," Open Economics, De Gruyter, vol. 3(1), pages 50-69, January.
  4. Michael Vogt & Matthias Schmid, 2021. "Clustering with statistical error control," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(3), pages 729-760, September.
  5. Sipan Aslan & Ceylan Yozgatligil & Cem Iyigun, 2018. "Temporal clustering of time series via threshold autoregressive models: application to commodity prices," Annals of Operations Research, Springer, vol. 260(1), pages 51-77, January.
  6. Alessandro Crimi & Olivier Commowick & Adil Maarouf & Jean-Christophe Ferré & Elise Bannier & Ayman Tourbah & Isabelle Berry & Jean-Philippe Ranjeva & Gilles Edan & Christian Barillot, 2014. "Predictive Value of Imaging Markers at Multiple Sclerosis Disease Onset Based on Gadolinium- and USPIO-Enhanced MRI and Machine Learning," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
  7. Paola Tellaroli & Marco Bazzi & Michele Donato & Alessandra R Brazzale & Sorin Drăghici, 2016. "Cross-Clustering: A Partial Clustering Algorithm with Automatic Estimation of the Number of Clusters," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-14, March.
  8. Rodolfo Metulini & Giorgio Gnecco & Francesco Biancalani & Massimo Riccaboni, 2023. "Hierarchical clustering and matrix completion for the reconstruction of world input–output tables," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 107(3), pages 575-620, September.
  9. Zolfaghari, Saeed & Akbari, Tohid, 2018. "Bilevel transmission expansion planning using second-order cone programming considering wind investment," Energy, Elsevier, vol. 154(C), pages 455-465.
  10. Francesco Trebbi & Eric Weese, 2019. "Insurgency and Small Wars: Estimation of Unobserved Coalition Structures," Econometrica, Econometric Society, vol. 87(2), pages 463-496, March.
  11. Willem H. Boshoff, 2011. "Antitrust market definition using statistical learning techniques and consumer characteristics," Working Papers 224, Economic Research Southern Africa.
  12. Daniel J. Lewis & Davide Melcangi & Laura Pilossoph, 2019. "Latent Heterogeneity in the Marginal Propensity to Consume," Staff Reports 902, Federal Reserve Bank of New York.
  13. Athanasios Constantopoulos & John Yfantopoulos & Panos Xenos & Athanassios Vozikis, 2019. "Cluster shifts based on healthcare factors: The case of Greece in an OECD background 2009-2014," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 9(6), pages 1-4.
  14. Pau Figuera & Alfredo Cuzzocrea & Pablo García Bringas, 2024. "Clustering Validation Inference," Mathematics, MDPI, vol. 12(15), pages 1-31, July.
  15. Thiemo Fetzer & Samuel Marden, 2017. "Take What You Can: Property Rights, Contestability and Conflict," Economic Journal, Royal Economic Society, vol. 0(601), pages 757-783, May.
  16. Del Río San José, Jorge & Reque Kilchenmann, José & Martínez De Azagra Paredes, Andrés, 2018. "To replant or to irrigate: A silvicultural decision model for afforestation projects," Forest Policy and Economics, Elsevier, vol. 93(C), pages 18-29.
  17. Desislava Chetalova & Rudi Schafer & Thomas Guhr, 2014. "Zooming into market states," Papers 1406.5386, arXiv.org.
  18. Mandev, Ahmet & Plötz, Patrick & Sprei, Frances & Tal, Gil, 2022. "Empirical charging behavior of plug-in hybrid electric vehicles," Applied Energy, Elsevier, vol. 321(C).
  19. Mario Vincenzo Russo & Ivan Notardonato & Alberto Rosada & Giuseppe Ianiri & Pasquale Avino, 2021. "Halogenated Volatile Organic Compounds in Water Samples and Inorganic Elements Levels in Ores for Characterizing a High Anthropogenic Polluted Area in the Northern Latium Region (Italy)," IJERPH, MDPI, vol. 18(4), pages 1-18, February.
  20. Peter Radchenko & Gourab Mukherjee, 2017. "Convex clustering via l 1 fusion penalization," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(5), pages 1527-1546, November.
  21. Lingsong Meng & Dorina Avram & George Tseng & Zhiguang Huo, 2022. "Outcome‐guided sparse K‐means for disease subtype discovery via integrating phenotypic data with high‐dimensional transcriptomic data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(2), pages 352-375, March.
  22. Desislava Chetalova & Marcel Wollschlager & Rudi Schafer, 2015. "Dependence structure of market states," Papers 1503.09004, arXiv.org, revised Jul 2015.
  23. Alfred Kume & Stephen G Walker, 2021. "The utility of clusters and a Hungarian clustering algorithm," PLOS ONE, Public Library of Science, vol. 16(8), pages 1-23, August.
  24. Šárka Brodinová & Peter Filzmoser & Thomas Ortner & Christian Breiteneder & Maia Rohm, 2019. "Robust and sparse k-means clustering for high-dimensional data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(4), pages 905-932, December.
  25. Lian Xie & Jiaxin Zhang & Rui Cheng, 2023. "Comprehensive Evaluation of Freeway Driving Risks Based on Fuzzy Logic," Sustainability, MDPI, vol. 15(1), pages 1-20, January.
  26. Mehmet Çağlar & Cem Gürler, 2022. "Sustainable Development Goals: A cluster analysis of worldwide countries," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(6), pages 8593-8624, June.
  27. Sachs, Julia & Moya, Diego & Giarola, Sara & Hawkes, Adam, 2019. "Clustered spatially and temporally resolved global heat and cooling energy demand in the residential sector," Applied Energy, Elsevier, vol. 250(C), pages 48-62.
  28. Antonopoulos, Ioannis & Robu, Valentin & Couraud, Benoit & Kirli, Desen & Norbu, Sonam & Kiprakis, Aristides & Flynn, David & Elizondo-Gonzalez, Sergio & Wattam, Steve, 2020. "Artificial intelligence and machine learning approaches to energy demand-side response: A systematic review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 130(C).
  29. Lorea Mendiola & Pilar González, 2021. "Urban Development and Sustainable Mobility: A Spatial Analysis in the Buenos Aires Metropolitan Area," Land, MDPI, vol. 10(2), pages 1-23, February.
  30. Paloma Péligry & Xavier Ragot, 2023. "Evolution of fiscal systems: Convergence or divergence?," Post-Print hal-04384035, HAL.
  31. Lim, Alejandro & Chiang, Chin-Tsang & Teng, Jen-Chieh, 2021. "Estimating robot strengths with application to selection of alliance members in FIRST robotics competitions," Computational Statistics & Data Analysis, Elsevier, vol. 158(C).
  32. Paloma Péligry & Xavier Ragot, 2022. "Evolution of fiscal systems: Convergence or divergence?," SciencePo Working papers Main hal-03554224, HAL.
  33. M. Deidda & N. Garrido & M. Pulina, 2011. "Exploring the dynamics of the efficiency in the Italian hospitality sector. A regional case study," Working Paper CRENoS 201117, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
  34. Deb, Soudeep & Karmakar, Sayar, 2023. "A novel spatio-temporal clustering algorithm with applications on COVID-19 data from the United States," Computational Statistics & Data Analysis, Elsevier, vol. 188(C).
  35. Mr. Emre Alper & Michal Miktus, 2019. "Digital Connectivity in sub-Saharan Africa: A Comparative Perspective," IMF Working Papers 2019/210, International Monetary Fund.
  36. Ahmed Albatineh & Magdalena Niewiadomska-Bugaj, 2011. "MCS: A Method for Finding the Number of Clusters," Journal of Classification, Springer;The Classification Society, vol. 28(2), pages 184-209, July.
  37. Yao Luo & Hidenori Takahashi, 2022. "Bidding for Contracts under Uncertain Demand: Skewed Bidding and Risk Sharing," Working Papers tecipa-732, University of Toronto, Department of Economics.
  38. Daniel Agness & Travis Baseler & Sylvain Chassang & Pascaline Dupas & Erik Snowberg, 2022. "Valuing the Time of the Self-Employed," Working Papers 2022-2, Princeton University. Economics Department..
  39. Khanh Duong, 2024. "Is meritocracy just? New evidence from Boolean analysis and Machine learning," Journal of Computational Social Science, Springer, vol. 7(2), pages 1795-1821, October.
  40. Batool, Fatima & Hennig, Christian, 2021. "Clustering with the Average Silhouette Width," Computational Statistics & Data Analysis, Elsevier, vol. 158(C).
  41. Diego Lijavetzky & Pablo Carbonell-Bejerano & Jérôme Grimplet & Gema Bravo & Pilar Flores & José Fenoll & Pilar Hellín & Juan Carlos Oliveros & José M Martínez-Zapater, 2012. "Berry Flesh and Skin Ripening Features in Vitis vinifera as Assessed by Transcriptional Profiling," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-15, June.
  42. Hou, Zhaohan & Wang, Lei, 2024. "Heterogeneous quantile regression for longitudinal data with subgroup structures," Computational Statistics & Data Analysis, Elsevier, vol. 194(C).
  43. Shengkun Xie, 2019. "Defining Geographical Rating Territories in Auto Insurance Regulation by Spatially Constrained Clustering," Risks, MDPI, vol. 7(2), pages 1-20, April.
  44. Elizabeth Tipton & Robert B. Olsen, "undated". "Enhancing the Generalizability of Impact Studies in Education," Mathematica Policy Research Reports 35d5625333dc480aba9765b3b, Mathematica Policy Research.
  45. Vidoli, Francesco & Pignataro, Giacomo & Benedetti, Roberto, 2022. "Identification of spatial regimes of the production function of Italian hospitals through spatially constrained cluster-wise regression," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
  46. Zijing Chen & Tao Wu & Linna Gao & Ye Zhou, 2024. "Comparative Analysis of Transit-Oriented Development (TOD) Types in the Metropolitan Region Along the Middle Reaches of the Yangtze River," Sustainability, MDPI, vol. 16(22), pages 1-24, November.
  47. Alexandra-Nicoleta Ciucu-Durnoi & Camelia Delcea, 2024. "Ecosystem Degradation in Romania: Exploring the Core Drivers," Stats, MDPI, vol. 7(1), pages 1-16, January.
  48. Khayatian, Fazel & Sarto, Luca & Dall'O', Giuliano, 2017. "Building energy retrofit index for policy making and decision support at regional and national scales," Applied Energy, Elsevier, vol. 206(C), pages 1062-1075.
  49. Z. Volkovich & Z. Barzily & G.-W. Weber & D. Toledano-Kitai & R. Avros, 2012. "An application of the minimal spanning tree approach to the cluster stability problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 119-139, March.
  50. Lee, Kyu Ha & Chakraborty, Sounak & Sun, Jianguo, 2017. "Variable selection for high-dimensional genomic data with censored outcomes using group lasso prior," Computational Statistics & Data Analysis, Elsevier, vol. 112(C), pages 1-13.
  51. B. Karmakar & K. Dhara & K. Dey & A. Basu & A. Ghosh, 2015. "Tests for statistical significance of a treatment effect in the presence of hidden sub-populations," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(1), pages 97-119, March.
  52. Tawei Wang & Karthik N. Kannan & Jackie Rees Ulmer, 2013. "The Association Between the Disclosure and the Realization of Information Security Risk Factors," Information Systems Research, INFORMS, vol. 24(2), pages 201-218, June.
  53. Nicoleta Serban & Huijing Jiang, 2012. "Multilevel Functional Clustering Analysis," Biometrics, The International Biometric Society, vol. 68(3), pages 805-814, September.
  54. Burghardt, Elliot & Sewell, Daniel & Cavanaugh, Joseph, 2022. "Agglomerative and divisive hierarchical Bayesian clustering," Computational Statistics & Data Analysis, Elsevier, vol. 176(C).
  55. Jack Baker & David Swanson & Jeff Tayman, 2023. "Boosted Regression Trees for Small-Area Population Forecasting," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 42(4), pages 1-24, August.
  56. Yi Peng & Yong Zhang & Gang Kou & Yong Shi, 2012. "A Multicriteria Decision Making Approach for Estimating the Number of Clusters in a Data Set," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
  57. Audrey Mauguen & Emily C. Zabor & Nancy E. Thomas & Marianne Berwick & Venkatraman E. Seshan & Colin B. Begg, 2017. "Defining Cancer Subtypes With Distinctive Etiologic Profiles: An Application to the Epidemiology of Melanoma," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(517), pages 54-63, January.
  58. Carolina Euán & Hernando Ombao & Joaquín Ortega, 2018. "The Hierarchical Spectral Merger Algorithm: A New Time Series Clustering Procedure," Journal of Classification, Springer;The Classification Society, vol. 35(1), pages 71-99, April.
  59. Gokturk Poyrazoglu, 2021. "Determination of Price Zones during Transition from Uniform to Zonal Electricity Market: A Case Study for Turkey," Energies, MDPI, vol. 14(4), pages 1-13, February.
  60. Ebba Mark & Ryan Rafaty & Moritz Schwarz, 2022. "Spatial-temporal dynamics of employment shocks in declining coal mining regions and potentialities of the 'just transition'," Papers 2211.12619, arXiv.org.
  61. Sukono & Dedi Rosadi & Di Asih I Maruddani & Riza Andrian Ibrahim & Muhamad Deni Johansyah, 2024. "Mechanisms of Stock Selection and Its Capital Weighing in the Portfolio Design Based on the MACD-K-Means-Mean-VaR Model," Mathematics, MDPI, vol. 12(2), pages 1-22, January.
  62. Ćurlin Tamara & Bach Mirjana Pejić & Miloloža Ivan, 2020. "Presentation skills of business and economics students: Cluster analysis," Croatian Review of Economic, Business and Social Statistics, Sciendo, vol. 6(2), pages 27-42, December.
  63. Juan Brida & Nicolás Garrido & Francesco Mureddu, 2014. "Italian economic dualism and convergence clubs at regional level," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(1), pages 439-456, January.
  64. Anastasia Griva & Cleopatra Bardaki & Katerina Pramatari & Georgios Doukidis, 2022. "Factors Affecting Customer Analytics: Evidence from Three Retail Cases," Information Systems Frontiers, Springer, vol. 24(2), pages 493-516, April.
  65. Lorena Škuflić & Mira Krpan & Berislav Žmuk, 2018. "Migration and the economic crisis in the European Union member states: cluster analysis," Entrepreneurship and Sustainability Issues, VsI Entrepreneurship and Sustainability Center, vol. 6(2), pages 979-1000, December.
  66. Weinand, J.M. & McKenna, R. & Fichtner, W., 2019. "Developing a municipality typology for modelling decentralised energy systems," Utilities Policy, Elsevier, vol. 57(C), pages 75-96.
  67. J. Fernando Vera & Rodrigo Macías, 2021. "On the Behaviour of K-Means Clustering of a Dissimilarity Matrix by Means of Full Multidimensional Scaling," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 489-513, June.
  68. Sándor Csősz & Brian L Fisher, 2016. "Toward Objective, Morphology-Based Taxonomy: A Case Study on the Malagasy Nesomyrmex sikorai Species Group (Hymenoptera: Formicidae)," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-31, April.
  69. Yen-Chi Chen, 2017. "Modal Regression using Kernel Density Estimation: a Review," Papers 1710.07004, arXiv.org, revised Dec 2017.
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  74. Yan Yang, 2019. "A New Solution to Market Definition: An Approach Based on Multi-dimensional Substitutability Statistics," Papers 1906.10030, arXiv.org.
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  76. Julian Rossbroich & Jeffrey Durieux & Tom F. Wilderjans, 2022. "Model Selection Strategies for Determining the Optimal Number of Overlapping Clusters in Additive Overlapping Partitional Clustering," Journal of Classification, Springer;The Classification Society, vol. 39(2), pages 264-301, July.
  77. Orietta Nicolis & Jean Paul Maidana & Fabian Contreras & Danilo Leal, 2024. "Analyzing the Impact of COVID-19 on Economic Sustainability: A Clustering Approach," Sustainability, MDPI, vol. 16(4), pages 1-30, February.
  78. Venera Tomaselli & Mario Fordellone & Maurizio Vichi, 2021. "Building Well-Being Composite Indicator for Micro-Territorial Areas Through PLS-SEM and K-Means Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(2), pages 407-429, January.
  79. Seoung Bum Kim & Jung Woo Lee & Sin Young Kim & Deok Won Lee, 2013. "Dental Informatics to Characterize Patients with Dentofacial Deformities," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
  80. Xuehai Wang & Michael Nissen & Deanne Gracias & Manabu Kusakabe & Guillermo Simkin & Aixiang Jiang & Gerben Duns & Clementine Sarkozy & Laura Hilton & Elizabeth A. Chavez & Gabriela C. Segat & Rachel , 2022. "Single-cell profiling reveals a memory B cell-like subtype of follicular lymphoma with increased transformation risk," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
  81. Giuseppe Porro & Andrea Vezzulli & Stefano Maria Iacus, 2004. "Temporary Agency Workers in Italy: Alternative Techniques of Classification," LABOUR, CEIS, vol. 18(4), pages 699-725, December.
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