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Di Noia A, Barabesi L, Marcheselli M, Pisani C, Pratelli L. Goodness-of-fit test for count distributions with finite second moment. J Nonparametr Stat 2022. [DOI: 10.1080/10485252.2022.2137728] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022]
Affiliation(s)
- Antonio Di Noia
- Department of Economics and Statistics, University of Siena, Siena, Italy
| | - Lucio Barabesi
- Department of Economics and Statistics, University of Siena, Siena, Italy
| | - Marzia Marcheselli
- Department of Economics and Statistics, University of Siena, Siena, Italy
| | - Caterina Pisani
- Department of Economics and Statistics, University of Siena, Siena, Italy
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Betsch S, Ebner B, Nestmann F. Characterizations of non-normalized discrete probability distributions and their application in statistics. Electron J Stat 2022. [DOI: 10.1214/22-ejs1983] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Steffen Betsch
- Institute of Stochastics, Karlsruhe Institute of Technology (KIT), Karslruhe, BW, Germany
| | - Bruno Ebner
- Institute of Stochastics, Karlsruhe Institute of Technology (KIT), Karslruhe, BW, Germany
| | - Franz Nestmann
- Institute of Stochastics, Karlsruhe Institute of Technology (KIT), Karslruhe, BW, Germany
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Milošević B, Jiménez-Gamero MD, Alba-Fernández MV. Quantifying the ratio-plot for the geometric distribution. J STAT COMPUT SIM 2021. [DOI: 10.1080/00949655.2021.1887185] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Bojana Milošević
- Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
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Jiménez-Gamero MD, Batsidis A. Minimum distance estimators for count data based on the probability generating function with applications. METRIKA 2017. [DOI: 10.1007/s00184-017-0614-3] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Koutrouvelis IA. Graphical procedures and goodness-of-fit tests for the compound poisson-exponential distribution. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2014.881496] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Sharifdoust M, Ng CM, Ong SH. Probability Generating Function Based Jeffrey's Divergence for Statistical Inference. COMMUN STAT-SIMUL C 2014. [DOI: 10.1080/03610918.2014.904344] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Analysis of discrete data by Conway–Maxwell Poisson distribution. ASTA ADVANCES IN STATISTICAL ANALYSIS 2014. [DOI: 10.1007/s10182-014-0226-4] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Sim SZ, Ong SH. Parameter Estimation for Discrete Distributions by Generalized Hellinger-Type Divergence Based on Probability Generating Function. COMMUN STAT-SIMUL C 2009. [DOI: 10.1080/03610910903443980] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- S. Z. Sim
- a Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur, Malaysia
| | - S. H. Ong
- a Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur, Malaysia
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Marcheselli M, Baccini A, Barabesi L. Parameter Estimation for the Discrete Stable Family. COMMUN STAT-THEOR M 2008. [DOI: 10.1080/03610920701570298] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Esquível ML. Probability Generating Functions for Discrete Real-Valued Random Variables. THEORY OF PROBABILITY AND ITS APPLICATIONS 2008. [DOI: 10.1137/s0040585x97982852] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Meintanis S, Swanepoel J. Bootstrap goodness-of-fit tests with estimated parameters based on empirical transforms. Stat Probab Lett 2007. [DOI: 10.1016/j.spl.2007.01.014] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Gürtler N, Henze N. Recent and classical goodness-of-fit tests for the Poisson distribution. J Stat Plan Inference 2000. [DOI: 10.1016/s0378-3758(00)00114-2] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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