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Communications in Statistics - Theory and Methods Volume 28, 1999 - Issue 5
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Original Articles

Entropy-based goodness-of-fit test for exponentiality

Przeniyslaw Crzcgorzewski Institute of Mathematics, Warsaw University of Technology, Plac Politechniki 1, Warsaw, 00-661, Poland
&
Robert Wirczorkowski Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, Warsaw, 01-447, Poland
Pages 1183-1202 | Received 01 Jul 1998, Published online: 27 Jun 2007

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Hadi Alizadeh Noughabi & Mohammad Shafaei Noughabi. (2023) A new estimator of Kullback–Leibler information based on a local linear regression and its application in goodness-of-fit tests. Journal of Statistical Computation and Simulation 93:16, pages 2828-2842.
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S. Baratpour & A. Habibi Rad. (2016) Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy. Communications in Statistics - Simulation and Computation 45:7, pages 2625-2637.
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Havva Alizadeh Noughabi & Reza Alizadeh Noughabi. (2013) On the entropy estimators. Journal of Statistical Computation and Simulation 83:4, pages 784-792.
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Sangun Park & Dong Wan Shin. (2012) On the Choice of Nonparametric Entropy Estimator in Entropy-Based Goodness-of-Fit Test Statistics. Communications in Statistics - Theory and Methods 41:5, pages 809-819.
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Ehsan Zamanzade & Nasser Reza Arghami. (2011) Goodness-of-fit test based on correcting moments of modified entropy estimator. Journal of Statistical Computation and Simulation 81:12, pages 2077-2093.
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Hadi Alizadeh Noughabi & Naser Reza Arghami. (2011) Testing exponentiality based on characterizations of the exponential distribution. Journal of Statistical Computation and Simulation 81:11, pages 1641-1651.
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Hadi Alizadeh Noughabi. (2010) A new estimator of entropy and its application in testing normality. Journal of Statistical Computation and Simulation 80:10, pages 1151-1162.
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Mahdi Mahdizadeh & N. R. Arghami. (2010) Efficiency of ranked set sampling in entropy estimation and goodness-of-fit testing for the inverse Gaussian law. Journal of Statistical Computation and Simulation 80:7, pages 761-774.
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Zeinab H. Amin. (2007) Tests for the Validity of the Assumption that the Underlying Distribution of Life is Pareto. Journal of Applied Statistics 34:2, pages 195-201.
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Byungjin Choi & Keeyoung Kim. (2006) Testing goodness-of-fit for Laplace distribution based on maximum entropy. Statistics 40:6, pages 517-531.
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S. Rao Jammalamadaka & Emanuele Taufer. (2006) Use of mean residual life in testing departures from exponentiality. Journal of Nonparametric Statistics 18:3, pages 277-292.
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M.N. Goria, N.N. Leonenko, V.V. Mergel & P. L. Novi Inverardi. (2005) A new class of random vector entropy estimators and its applications in testing statistical hypotheses. Journal of Nonparametric Statistics 17:3, pages 277-297.
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Byungjin Choi, Keeyoung Kim & Seuck Heun Song. (2004) Goodness-of-Fit Test for Exponentiality Based on Kullback–Leibler Information. Communications in Statistics - Simulation and Computation 33:2, pages 525-536.
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S. Rao Jammalamadaka & Emanuele Taufer. (2003) Testing exponentiality by comparing the empirical distribution function of the normalized spacings with that of the original data . Journal of Nonparametric Statistics 15:6, pages 719-729.
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P. L. Novi Inverardi. (2003) MSE Comparison of Some Different Estimators of Entropy. Communications in Statistics - Simulation and Computation 32:1, pages 17-30.
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Norbert Henze & Simos G. Meintanis. (2002) GOODNESS-OF-FIT TESTS BASED ON A NEW CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION. Communications in Statistics - Theory and Methods 31:9, pages 1479-1497.
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Emanuele Taufer. (2002) ON ENTROPY BASED TESTS FOR EXPONENTIALITY. Communications in Statistics - Simulation and Computation 31:2, pages 189-200.
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M. Mahdizadeh. (2019) New indices of sample informational energy with application to testing uniformity. Afrika Matematika 31:2, pages 273-295.
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J. S. Allison, L. Santana, N. Smit & I. J. H. Visagie. (2017) An ‘apples to apples’ comparison of various tests for exponentiality. Computational Statistics 32:4, pages 1241-1283.
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Lorentz Jäntschi & Sorana D. Bolboacă. (2017) Performances of Shannon’s Entropy Statistic in Assessment of Distribution of Data. Ovidius University Annals of Chemistry 28:2, pages 30-42.
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Ehsan Zamanzade & Mahdi Mahdizadeh. (2017) Entropy Estimation From Ranked Set Samples With Application to Test of Fit. Revista Colombiana de Estadística 40:2, pages 223-241.
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C. T. J. Dodson. 2017. Operations Research, Engineering, and Cyber Security. Operations Research, Engineering, and Cyber Security 167 197 .
Hadi Alizadeh Noughabi. (2015) Entropy Estimation Using Numerical Methods. Annals of Data Science 2:2, pages 231-241.
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Byungjin Choi. (2013) Goodness-of-fit test for normal distribution based on parametric and nonparametric entropy estimators. Journal of the Korean Data and Information Science Society 24:4, pages 847-856.
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C. T. J. Dodson. 2012. Handbook of Research on Computational Science and Engineering. Handbook of Research on Computational Science and Engineering 287 315 .
Byung-Jin Choi. (2011) A Modi ed Entropy-Based Goodness-of-Fit Tes for Inverse Gaussian Distribution. Korean Journal of Applied Statistics 24:2, pages 383-391.
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B. Senoglu & B. Surucu. (2004) Goodness-of-Fit Tests Based on Kullback-Leibler Information. IEEE Transactions on Reliability 53:3, pages 357-361.
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