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Original Articles

A modified Kolmogorov-Smirnov test for the inverse gaussian density with unknown parameters

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Pages 1203-1212 | Received 01 Jun 1987, Published online: 27 Jun 2007

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Shaul K. Bar-Lev, Apostolos Batsidis & Polychronis Economou. (2021) Tweedie, Bar-Lev, and Enis class of leptokurtic distributions as a candidate for modeling real data. Communications in Statistics: Case Studies, Data Analysis and Applications 7:2, pages 229-248.
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Hadi Alizadeh Noughabi & Jalil Jarrahiferiz. (2018) Moments of nonparametric probability density functions of entropy estimators applied to testing the inverse Gaussian distribution. Journal of Statistical Computation and Simulation 88:16, pages 3217-3229.
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Hadi Alizadeh Noughabi & Albert Vexler. (2016) An efficient correction to the density-based empirical likelihood ratio goodness-of-fit test for the inverse Gaussian distribution. Journal of Applied Statistics 43:16, pages 2988-3003.
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Ilia Vonta & Alex Karagrigoriou. (2014) Goodness-of-fit tests via ϕ-measures of divergence for censored data. Journal of Statistical Computation and Simulation 84:5, pages 946-963.
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Ioannis A. Koutrouvelis & Alex Karagrigoriou. (2012) Cumulant plots and goodness-of-fit tests for the inverse Gaussian distribution. Journal of Statistical Computation and Simulation 82:3, pages 343-358.
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Y. L. Lio & Chanseok Park. (2010) A bootstrap control chart for inverse Gaussian percentiles. Journal of Statistical Computation and Simulation 80:3, pages 287-299.
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L. Gracia-Medrano & F. O'Reilly. (2005) Transformations for Testing the Fit of the Inverse-Gaussian Distribution. Communications in Statistics - Theory and Methods 33:4, pages 919-924.
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Rajeshwari Natarajan & Govind S Mudholkar. (2004) Moment-Based Goodness-of-Fit Tests for the Inverse Gaussian Distribution. Technometrics 46:3, pages 339-347.
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Truc T. Nguyen & Khoan T. Dinh. (2003) Exact EDF Goodness-of-Fit Tests for Inverse Gaussian Distributions. Communications in Statistics - Simulation and Computation 32:2, pages 505-516.
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Rick L. Edgeman,$suffix/text()$suffix/text(). (1996) Sprt and cusum results for inverse gaussian processes. Communications in Statistics - Theory and Methods 25:11, pages 2797-2806.
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Articles from other publishers (18)

Hana Alqifari, Mohamed S. Eliwa, Walid B. H. Etman, Mahmoud El-Morshedy, Laila A. Al-Essa & Rashad M. EL-Sagheer. (2023) Reliability Class Testing and Hypothesis Specification: NBRULC−t∘ Characterizations with Applications for Medical and Engineering Data Modeling. Axioms 12:5, pages 414.
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Rashad M. EL-Sagheer, Mohamed A. W. Mahmoud & Waleed B. H. Etman. (2022) Characterizations and Testing Hypotheses for NBRUL-t $$_{0}$$ Class of Life Distributions. Journal of Statistical Theory and Practice 16:2.
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José A. Villaseñor, Elizabeth González-Estrada & Adrián Ochoa. (2017) On Testing the Inverse Gaussian Distribution Hypothesis. Sankhya B 81:1, pages 60-74.
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Byungjin Choi. (2013) A Graphical Method to Assess Goodness-of-Fit for Inverse Gaussian Distribution. Korean Journal of Applied Statistics 26:1, pages 37-47.
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Byungjin Choi. (2012) Power Investigation of the Entropy-Based Test of Fit for Inverse Gaussian Distribution by the Information Discrimination Index. Communications for Statistical Applications and Methods 19:6, pages 837-847.
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Byung-Jin Choi. (2011) Kullback-Leibler Information-Based Tests of Fit for Inverse Gaussian Distribution. Korean Journal of Applied Statistics 24:6, pages 1271-1284.
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Sangyeol Lee, Ilia Vonta & Alex Karagrigoriou. (2011) A maximum entropy type test of fit. Computational Statistics & Data Analysis 55:9, pages 2635-2643.
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Albert Vexler, Guogen Shan, Seongeun Kim, Wan-Min Tsai, Lili Tian & Alan D. Hutson. (2011) An empirical likelihood ratio based goodness-of-fit test for Inverse Gaussian distributions. Journal of Statistical Planning and Inference 141:6, pages 2128-2140.
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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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Bernhard Klar. (2005) Tests for exponentiality against theM andLM-Classes of life distributions. TEST 14:2, pages 543-565.
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Govind S Mudholkar & Lili Tian. (2002) An entropy characterization of the inverse Gaussian distribution and related goodness-of-fit test. Journal of Statistical Planning and Inference 102:2, pages 211-221.
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Gilles R. Ducharme. (2001) Goodness-of-fit tests for the inverse Gaussian and related distributions. Test 10:2, pages 271-290.
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Wallace R. Blischke & D. N. Prabhakar Murthy. 2000. Reliability. Reliability 771 795 .
Huseyin Gunes, Dennis C. Dietz, Paul F. Auclair & Albert H. Moore. (1997) Modified goodness-of-fit tests for the inverse Gaussian distribution. Computational Statistics & Data Analysis 24:1, pages 63-77.
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R.J. Pavur, R.L. Edgeman & R.C. Scott. (1992) Quadratic statistics for the goodness-of-fit test of the inverse Gaussian distribution. IEEE Transactions on Reliability 41:1, pages 118-123.
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R. L. Edgeman & P. M. Salzberg. (1991) A sequential sampling plan for the inverse gaussian mean. Statistical Papers 32:1, pages 45-53.
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Rick L. Edgeman. (1990) An alternative to the analysis of variance for reliability data. Quality and Reliability Engineering International 6:3, pages 203-207.
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R.L. Edgeman. (1990) Assessing the inverse Gaussian distribution assumption. IEEE Transactions on Reliability 39:3, pages 352-355.
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