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Original Articles

Tests of fit for discrete distributions based on the probability generating function

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Pages 259-274 | Received 01 Mar 1996, Published online: 27 Jun 2007

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Read on this site (7)

Antonio Di Noia, Lucio Barabesi, Marzia Marcheselli, Caterina Pisani & Luca Pratelli. (2023) Goodness-of-fit test for count distributions with finite second moment. Journal of Nonparametric Statistics 35:1, pages 19-37.
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Bojana Milošević, M. Dolores Jiménez-Gamero & M. Virtudes Alba-Fernández. (2021) Quantifying the ratio-plot for the geometric distribution. Journal of Statistical Computation and Simulation 91:11, pages 2153-2177.
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Maryam Sharifdoust, Choung Min Ng & Seng-Huat Ong. (2016) Probability Generating Function Based Jeffrey's Divergence for Statistical Inference. Communications in Statistics - Simulation and Computation 45:7, pages 2445-2458.
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Ioannis A. Koutrouvelis. (2016) Graphical procedures and goodness-of-fit tests for the compound poisson-exponential distribution. Communications in Statistics - Theory and Methods 45:8, pages 2450-2464.
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S. Z. Sim & S. H. Ong. (2010) Parameter Estimation for Discrete Distributions by Generalized Hellinger-Type Divergence Based on Probability Generating Function. Communications in Statistics - Simulation and Computation 39:2, pages 305-314.
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M. Marcheselli, A. Baccini & L. Barabesi. (2008) Parameter Estimation for the Discrete Stable Family. Communications in Statistics - Theory and Methods 37:6, pages 815-830.
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Yeh-Ching Low, Yook-Ngor Phang, Wooi-Chen Khoo & Seng-Huat Ong. Parameter estimation for strict arcsine distribution. Communications in Statistics - Simulation and Computation 0:0, pages 1-10.
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Articles from other publishers (17)

M. D. Jiménez-Gamero & J. de Uña-Álvarez. (2023) Testing Poissonity of a large number of populations. TEST 33:1, pages 81-105.
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Antonio Di Noia, Marzia Marcheselli, Caterina Pisani & Luca Pratelli. (2023) A family of consistent normally distributed tests for Poissonity. AStA Advances in Statistical Analysis 108:1, pages 209-223.
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Boris Aleksandrov, Christian H. Weiß, Simon Nik, Maxime Faymonville & Carsten Jentsch. (2023) Modelling and diagnostic tests for Poisson and negative-binomial count time series. Metrika.
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Steffen Betsch, Bruno Ebner & Franz Nestmann. (2022) Characterizations of non-normalized discrete probability distributions and their application in statistics. Electronic Journal of Statistics 16:1.
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M.D. Jiménez-Gamero & M.V. Alba-Fernández. (2021) A test for the geometric distribution based on linear regression of order statistics. Mathematics and Computers in Simulation 186, pages 103-123.
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Apostolos Batsidis, María Dolores Jiménez-Gamero & Artur J. Lemonte. (2019) On goodness-of-fit tests for the Bell distribution. Metrika 83:3, pages 297-319.
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M.D. Jiménez-Gamero & M.V. Alba-Fernández. (2019) Testing for the Poisson–Tweedie distribution. Mathematics and Computers in Simulation 164, pages 146-162.
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M. D. Jiménez-Gamero & A. Batsidis. (2017) Minimum distance estimators for count data based on the probability generating function with applications. Metrika 80:5, pages 503-545.
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M.D. Jiménez-Gamero, M.V. Alba-Fernández, P. Jodrá & I. Barranco-Chamorro. (2015) An approximation to the null distribution of a class of Cramér–von Mises statistics. Mathematics and Computers in Simulation 118, pages 258-272.
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Ramesh C. Gupta, S. Z. Sim & S. H. Ong. (2014) Analysis of discrete data by Conway–Maxwell Poisson distribution. AStA Advances in Statistical Analysis 98:4, pages 327-343.
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Choung Min Ng, Seng-Huat Ong & H.M. Srivastava. (2013) Parameter estimation by Hellinger type distance for multivariate distributions based upon probability generating functions. Applied Mathematical Modelling 37:12-13, pages 7374-7385.
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M. L. Esquível. (2008) Probability Generating Functions for Discrete Real-Valued Random Variables. Theory of Probability & Its Applications 52:1, pages 40-57.
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Simos Meintanis & Jan Swanepoel. (2007) Bootstrap goodness-of-fit tests with estimated parameters based on empirical transforms. Statistics & Probability Letters 77:10, pages 1004-1013.
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Manuel Leote Tavares Ingles Esquivel & Manuel Leote Tavares Ingles Esquivel. (2007) Probability generating functions for discrete real-valued random variablesProbability generating functions for discrete real-valued random variables. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 52:1, pages 129-149.
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José M. González-Barrios, Federico O’Reilly & Raúl Rueda. (2006) Goodness of Fit for Discrete Random Variables Using the Conditional Density. Metrika 64:1, pages 77-94.
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SIMOS MEINTANIS & I. A. KOUTROUVELIS. (2011) TESTING THE FIT TO GENERALIZED POISSON DISTRIBUTIONS BASED ON AN EMPIRICAL TRANSFORM. International Journal of Reliability, Quality and Safety Engineering 08:01, pages 59-76.
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Nora Gürtler & Norbert Henze. (2000) Recent and classical goodness-of-fit tests for the Poisson distribution. Journal of Statistical Planning and Inference 90:2, pages 207-225.
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