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Journal articles on the topic 'Anderson-Darling-Test'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Sinclair, C. D., B. D. Spurr, and M. I. Ahmad. "Modified anderson darling test." Communications in Statistics - Theory and Methods 19, no. 10 (1990): 3677–86. http://dx.doi.org/10.1080/03610929008830405.

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2

Nelson, Lloyd S. "The Anderson-Darling Test for Normality." Journal of Quality Technology 30, no. 3 (1998): 298–99. http://dx.doi.org/10.1080/00224065.1998.11979858.

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3

Aslam, Muhammad, and Ali Algarni. "Analyzing the Solar Energy Data Using a New Anderson-Darling Test under Indeterminacy." International Journal of Photoenergy 2020 (December 18, 2020): 1–6. http://dx.doi.org/10.1155/2020/6662389.

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The generalization of the Anderson-Darling (AD) test under neutrosophic statistics is presented in this paper. We present the designing and operating procedure of neutrosophic Anderson-Darling when the quality of interest follows the neutrosophic normal distribution. The application of the proposed test is given using data from the renewable energy field. From the analysis of the data, it is concluded that the proposed test is effective and information to be applied when the data is recorded from the complex system in the renewable energy field.

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4

MacKenzie, Donald W. "Applying the Anderson-Darling Test to Suicide Clusters." Crisis 34, no. 6 (2013): 434–37. http://dx.doi.org/10.1027/0227-5910/a000197.

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Background: Suicide clusters at Cornell University and the Massachusetts Institute of Technology (MIT) prompted popular and expert speculation of suicide contagion. However, some clustering is to be expected in any random process. Aim: This work tested whether suicide clusters at these two universities differed significantly from those expected under a homogeneous Poisson process, in which suicides occur randomly and independently of one another. Method: Suicide dates were collected for MIT and Cornell for 1990–2012. The Anderson-Darling statistic was used to test the goodness-of-fit of the in

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5

Liao, Jiahao, and Shan Liu. "Anderson-Darling test for ground radar environment sensing." Journal of Physics: Conference Series 2435, no. 1 (2023): 012001. http://dx.doi.org/10.1088/1742-6596/2435/1/012001.

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Abstract A clutter distribution identification method based on the AD (Anderson-Darling) goodness-of-fit test is proposed for the environmental perception and clutter distribution identification of ground radar positions, given the current demand for environment perception by position adaptive technology. The method determines which distribution the clutter obeys by comparing the critical value of the corresponding distribution with the AD statistic. The AD test method is improved by proposing a cell averaging method and a critical value unitisation method to address the problem that the AD pa

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6

Al Zaim, Yasser, and Mohammad Reza Faridrohani. "Random Projection-Based Anderson-Darling Test for Random Fields." Journal of the Iranian Statistical Society 20, no. 2 (2021): 1–28. http://dx.doi.org/10.52547/jirss.20.2.1.

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7

G. Kalaimagal. "Analysis of Wideband spectrum sensing using Anderson darling test statistics in underlay cognitive microcell." Journal of Electrical Systems 20, no. 5s (2024): 1777–89. http://dx.doi.org/10.52783/jes.2513.

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The most widely used sensing technique for detecting energy is due to its ease of use and lack of need for signal information beforehand. Traditional methods often employ a two-threshold strategy in low signal-to-noise ratio scenarios, which can lead to temporary detection outcomes when the signal's energy is between the low and high threshold values. This subsequently results in inadequate detection accuracy, characterized by a reduced probability of detection, which ultimately results in an extended duration of the spectrum sensing. The paper suggests enhancing the efficiency of spectrum sen

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8

Tuluchenko, Halyna Yakivna. "NEW APPROACHES TO APPROXIMATION OF CUMULATIVE DISTRIBUTION FUNCTIONS OF STATISTICS FOR DIFFERENT MODIFICATIONS OF THE ONE-SAMPLE ANDERSON-DARLING TEST." Bulletin of the National Technical University "KhPI". Series: Mathematical modeling in engineering and technologies, no. 2(7) (January 30, 2025): 73–79. https://doi.org/10.20998/2222-0631.2024.02(7).08.

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The one-sample Anderson-Darling test is a powerful tool for testing the hypothesis that a sample corresponds to a theoretical distribution. However, the calculation of critical points for this test is a rather resource-intensive task, given the complexity of expressions for the integral functions of the distribution of statistics for all modifications of this test with different weight functions. The purpose of this paper is to develop effectual methods to approximate the integral distribution functions of the Anderson-Darling test statistics. In particular, the study is aimed at finding funct

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9

Střelec, Luboš. "Analysis of power of the classical and robust normality tests against bimodal distribution." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 57, no. 6 (2009): 253–60. http://dx.doi.org/10.11118/actaun200957060253.

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The aim of this paper is to compare the power of selected normality tests to detect a bimodal distribution. We use some classical normality tests (the Shapiro-Wilk test, the Lilliefors test, the Anderson-Darling test, the classical Jarque-Bera test and the Jarque-Bera-Urzua test), some robust normality tests (the robust Jarque-Bera test and the Medcouple test) and the modified Jarque-Bera tests, where the median instead of the mean is used in the classical Jarque-Bera test statistic. The results of simulation study show that the Anderson-Darling and the Shapiro-Wilk tests outperform the others

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10

Brodsky, Y. B., S. O. Kovtun, S. V. Kovalchuk, and P. P. Topolnytsky. "METHODICAL APPROACH TO DETERMINING THE STATISTICAL CHARACTERISTICS OF CODE PHASE MANIPULATED SIGNAL IN INFORMATION SYSTEMS." Проблеми створення, випробування, застосування та експлуатації складних інформаційних систем, no. 17 (December 30, 2019): 79–88. http://dx.doi.org/10.46972/2076-1546.2019.17.07.

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A methodological approach to determining the statistical characteristics of the phase-shifted signal observed against a white noise background is considered. Parametric and non-parametric consistency criteria have been widely used to test the hypothesis of the form of the law of probability distribution of random variables. The parametric criteria include Pearson's c2 and its modification of Nikulin's c2. Nonparametric criteria – Kolmogorov – Smirnov, w2 Mises, Anderson – Darling, Rainy and others. In the foreign scientific literature, the term W2 Mises is used for the Anderson – Darling crite

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11

Chen, Qian, and David E. Giles. "General Saddlepoint Approximations: Application to the Anderson-Darling Test Statistic." Communications in Statistics - Simulation and Computation 37, no. 4 (2008): 789–804. http://dx.doi.org/10.1080/03610910701730141.

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12

Müller, Christoph, and Harald Kloft. "Parameterbestimmung mit dem Anderson-Darling Test bei Versuchen an Glas." Stahlbau 84, S1 (2015): 229–40. http://dx.doi.org/10.1002/stab.201590081.

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13

Alotaibi, Naif, A. S. Al-Moisheer, Ibrahim Elbatal, Salem A. Alyami, Ahmed M. Gemeay, and Ehab M. Almetwally. "Bivariate step-stress accelerated life test for a new three-parameter model under progressive censored schemes with application in medical." AIMS Mathematics 9, no. 2 (2024): 3521–58. http://dx.doi.org/10.3934/math.2024173.

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<abstract><p>In this article, a new three-parameter lifetime model called the Gull alpha power exponentiated exponential (GAPEE) distribution is introduced and studied by combining the Gull alpha power family of distributions and the exponentiated exponential distribution. The shapes of the probability density function (PDF) for the GAPEE distribution can be asymmetric shapes, like unimodal, decreasing, and right-skewed. In addition, the shapes of the hazard rate function (hrf) for the GAPEE distribution can be increasing, decreasing, and upside-down shaped. Several statistical fea

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M. Salah, Mukhtar, M. El-Morshedy, M. S. Eliwa, and Haitham M. Yousof. "Expanded Fréchet Model: Mathematical Properties, Copula, Different Estimation Methods, Applications and Validation Testing." Mathematics 8, no. 11 (2020): 1949. http://dx.doi.org/10.3390/math8111949.

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The extreme value theory is expanded by proposing and studying a new version of the Fréchet model. Some new bivariate type extensions using Farlie–Gumbel–Morgenstern copula, modified Farlie–Gumbel–Morgenstern copula, Clayton copula, and Renyi’s entropy copula are derived. After a quick study for its properties, different non-Bayesian estimation methods under uncensored schemes are considered, such as the maximum likelihood estimation method, Anderson–Darling estimation method, ordinary least square estimation method, Cramér–von-Mises estimation method, weighted least square estimation method,

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15

Lee, Sang-Hyuk, Jong-Won Lee, Moon-Kyung Kim, and Hee-Mun Park. "An Analysis on the Effectiveness of Nitrogen Oxide Reduction from Applying Titanium Dioxide on Urban Roads Using a Statistical Method." Atmosphere 12, no. 8 (2021): 972. http://dx.doi.org/10.3390/atmos12080972.

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The purpose of this study was to analyze the effect of titanium dioxide (TiO2) on reducing nitrogen oxide (NOx) concentrations using the statistical method of the Anderson-Darling test. To compare and analyze this effect, a spray-type form of TiO2 was applied to the asphalt pavement surface on urban roads. Data acquisition for NOx concentration was collected from a test section with TiO2 applied and a reference section without TiO2 applied. The probabilities of occurrence of the NOx concentration in the test and reference section were estimated and compared using the Anderson-Darling test. In

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16

Elly Rosmaini. "Probability Distribution of Rainfall in Medan." Journal of Research in Mathematics Trends and Technology 1, no. 2 (2019): 43–49. http://dx.doi.org/10.32734/jormtt.v1i2.2835.

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In this paper we chose three stations in Medan City , Indonesia to estimate Monthly Rainfall Data i.e. Tuntungan, Tanjung Selamat, and Medan Selayang Stations. We took the data from 2007 to 2016. In this case fitted with Normal, Gamma, and Lognormal Distributions. To estimate parameters, we used this method. Furthermore, Kolmogorov-Smirnov and Anderson Darling tests were used the goodness-of-fit test. The Gamma and Normal Distributions is suitable for Tuntungan and Medan Selayang Stations were stated by Kolmogorov-Smirnov's test. Anderson Darling's test stated that Gamma Distribution was suita

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17

Feng, Rui, Yun Xue Liu, and Wen Qiang Fan. "Research on K Distribution in Anderson-Darling Goodness-of-Fit Test." Applied Mechanics and Materials 475-476 (December 2013): 27–31. http://dx.doi.org/10.4028/www.scientific.net/amm.475-476.27.

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Identification of radar clutter model is one important step to choose optimum CFAR processor in radar signal detection, and Anderson-Darling (AD) goodness-of-fit test considered the practical and effective way under small sample size. As K distribution is a complex model providing suitable description for the amplitude of microwave sea clutter, the research on K distribution in AD test is useful but very difficult. Moment-based methods are widely used to estimate parameters of K distribution and comparison show that methods with lower moments are more accurate. Further in AD test, the influenc

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18

Sinclair, C. D., and B. D. Spurr. "Approximations to the Distribution Function of the Anderson-Darling Test Statistic." Journal of the American Statistical Association 83, no. 404 (1988): 1190. http://dx.doi.org/10.2307/2290155.

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Sinclair, C. D., and B. D. Spurr. "Approximations to the Distribution Function of the Anderson—Darling Test Statistic." Journal of the American Statistical Association 83, no. 404 (1988): 1190–91. http://dx.doi.org/10.1080/01621459.1988.10478720.

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20

Li, Yang, Yinsheng Wei, Bingfei Li, and Gil Alterovitz. "Modified Anderson-Darling Test-Based Target Detector in Non-Homogenous Environments." Sensors 14, no. 9 (2014): 16046–61. http://dx.doi.org/10.3390/s140916046.

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21

Shin, Hong-Joon, Kyung-Min Sung, and Jun-Haeng Heo. "Derivation of Modified Anderson-Darling Test Statistics and Power Test for the Gumbel Distribution." Journal of Korea Water Resources Association 43, no. 9 (2010): 813–22. http://dx.doi.org/10.3741/jkwra.2010.43.9.813.

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22

M. Yousof, Haitham, M. Masoom Ali, G. G. Hamedani, Khaoula Aidi, and Mohamed Ibrahim. "A New Lifetime Distribution with Properties, Characterizations, Validation Testing and Different Estimation Methods." Statistics, Optimization & Information Computing 10, no. 2 (2021): 519–47. http://dx.doi.org/10.19139/soic-2310-5070-1222.

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A new lifetime distribution is proposed and its properties are studied. The new density function has a heavy right skew tails with different shapes. The new failure rate function can be “constant”, “bathtub (U)”, “increasing-constant”, “decreasing-constant”, “upside down” and “upside down-U”. Complexity of the most integrals related to statistical properties is solved and numerically analyzed. Simple type copula is presented. Numerical calculations for analyzing the skewness and kurtosis are presented. Different estimation methods such as the maximum likelihood estimation method, Cramer-von-Mi

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23

Ye, Yinghui, Guangyue Lu, Yongzhao Li, and Ming Jin. "Unilateral right‐tail Anderson‐Darling test based spectrum sensing for cognitive radio." Electronics Letters 53, no. 18 (2017): 1256–58. http://dx.doi.org/10.1049/el.2017.0323.

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24

Jiang, Lijuan, Yongzhao Li, Yinghui Ye, Yunfei Chen, Ming Jin, and Hailin Zhang. "Unilateral left-tail Anderson Darling test-based spectrum sensing with Laplacian noise." IET Communications 13, no. 6 (2019): 696–705. http://dx.doi.org/10.1049/iet-com.2018.5598.

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25

Izaddine, H. G., D. Diakhaté, A. D. Rafiou, and A. S. Dabye. "GOODNESS-OF-FIT TEST FOR POISSON PROCESSES WITH A SCALE PARAMETER." Far East Journal of Theoretical Statistics 69, no. 2 (2025): 129–53. https://doi.org/10.17654/0972086325006.

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We propose the goodness-of-fit test for inhomogeneous Poisson processes with unknown scale parameter. A test statistic of the Anderson-Darling type is proposed and its asymptotic behavior is studied when the unknown parameter is estimated using the maximum likelihood estimator. We show that under null hypothesis, the limit distribution of this statistic does not depend on unknown parameter. Furthermore, we establish the consistency of the test against the alternative hypothesis.

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26

Best, D., and J. Rayner. "Smooth Tests of Fit for the Lindley Distribution." Stats 1, no. 1 (2018): 92–97. http://dx.doi.org/10.3390/stats1010007.

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We consider the little-known one parameter Lindley distribution. This distribution may be of interest as it appears to be more flexible than the exponential distribution, the Lindley fitting more data than the exponential. We give smooth tests of fit for this distribution. The smooth test for the Lindley has power comparable with the Anderson-Darling test. Advantages of the smooth test are discussed. Examples that illustrate the flexibility of this distributions is given.

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27

Dumitrascu, Dorin-Ion, Alexandru-Nicolae Rusu, and Adela-Eliza Dumitrascu. "The Influence of the Laser Power on the Manufacturing Quality Specific to Automotive Parts." E3S Web of Conferences 601 (2025): 00041. https://doi.org/10.1051/e3sconf/202560100041.

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The aim of this paper is to analyze the influence of laser power on the micro-perforation process of automotive parts. From a statistical point of view, the Anderson-Darling normality test was applied to validate the data distribution. With a 95% confidence interval, the goodness-of-fit is justified by the Anderson-Darling statistics (A-Squared = 0.14, P-Value = 0.963), indicating that the data are homogeneous. The summary report revealed that the mean laser power is 0.342 W, with confidence intervals ranging from 0.271 W to 0.413 W, and a standard deviation of 0.116 W, with confidence interva

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Bağcı Genel, Kübra. "Comparison of Estimation Methods for the Inverted Exponentiated Pareto Distribution." Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 14, no. 1 (2025): 464–80. https://doi.org/10.17798/bitlisfen.1598988.

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Inverted exponentiated exponential densities family is known for its flexibility and applicability in the reliability field. This study evaluates the performance of different estimation methods for the inverted exponentiated Pareto (IEP) distribution, which is a special case of this family of distributions. In this study, the parameter estimation of the IEP distribution is obtained using Maximum Likelihood (ML), Maximum Product of Spacings (MPS), Cramer von Mises (CvM), and Anderson Darling (AD) methods. A Monte Carlo simulation is conducted to compare the efficiency of these estimation method

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Belovas, Igoris, Audrius Kabašinskas, and Leonidas Sakalauskas. "Analysis of passivity problems in the baltic equity market." Lietuvos matematikos rinkinys 46 (September 21, 2023): 289–94. http://dx.doi.org/10.15388/lmr.2006.30729.

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The Baltic States equity market is a challenge for investors and financial analysts. Unfortunately strong assivity is observed in ``young'' markets, therefore any (Gaussian, α-stable etc) distribution fitting tests (Anderson–Darling, Kolmogorov–Smirnov, etc.) are poorly applicable. Improvement based on mixed distributions is proposed and its adequacy in the Baltic States market is tested. In this paper we use Koutrouvelis goodness-of-fit test and modified χ2 test.

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30

Su, Yan, and Xia Ying Su. "A Comparative Study of EDF Tests for Normality and Exponentiality." Applied Mechanics and Materials 602-605 (August 2014): 2004–10. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.2004.

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In this paper, the modified EDF test procedures for testing the normal and exponential distributions with unknown parameters are suggested. The Monte Carlo algorithms are given to approximate the critical values of the EDF test statistics for a wide range of sample sizes. The power simulations show that the Anderson-Darling (AD) test is on the whole better than other EDF tests considered, in particular when the alternative departs from the true distribution in the tails.

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31

Malik, Gabriela. "Teoretyczne i empiryczne rozkłady stóp zwrotu indeksów giełdowych produktów rolnych." Wiadomości Statystyczne. The Polish Statistician 2013, no. 6 (2013): 5–22. http://dx.doi.org/10.59139/ws.2013.06.1.

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The purpose of this article is to estimate and compare the distribution of selected return stock market index listed on the CME (Chicago Mercantile Exchange). A variety of different distributions that have been suggested in the literature was fitted to the empirical time-series by means of the Maximum Likelihood Method. In order to verify the goodness-of-fit of each of the theoretical distribution under consideration the three different tests were employed: x2 test, Kolmogorov test as well as Anderson-Darling test.

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32

LaFromboise, Lucius. "POWER COMPARISON OF TESTS FOR NORMALITY AND RECOMMENDED TEST ORDERS FOR MANUFACTURING ORGANIZATIONS." Journal of Manufacturing Engineering 19, no. 2 (2024): 040–56. http://dx.doi.org/10.37255/jme.v19i2pp040-056.

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Manufacturing organizations are increasingly concerned with statistical analysis as a tool for understanding and improving processes. With the release of a new statistical package, QESuite, designed for manufacturers, it is important to directly compare the included normality tests to guide the standards of manufacturing organizations. A common metric of the usefulness of a normality test is its power, the test’s ability to identify data that do not follow the normal distribution correctly. Through Monte Carlo simulation, the power of 6 normality tests: Anderson-Darling, Jarque-Bera, Kolmogoro

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33

Abu-Zinadah, Hanaa, and Asmaa Binkhamis. "Goodness-of-fit tests for the beta Gompertz distribution." Thermal Science 24, Suppl. 1 (2020): 69–81. http://dx.doi.org/10.2298/tsci20069a.

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This article studied the goodness-of-fit tests for the beta Gompertz distribution with four parameters based on a complete sample. The parameters were estimated by the maximum likelihood method. Critical values were found by Monte Carlo simulation for the modified Kolmogorov-Smirnov, Anderson-Darling, Cramer-von Mises, and Lilliefors test statistics. The power of these test statistics founded the optimal alternative distribution. Real data applications were used as examples for the goodness of fit tests.

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Abu-Zinadah, Hanaa, and Asmaa Binkhamis. "Goodness-of-fit tests for the beta Gompertz distribution." Thermal Science 24, Suppl. 1 (2020): 69–81. http://dx.doi.org/10.2298/tsci20s1069a.

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This article studied the goodness-of-fit tests for the beta Gompertz distribution with four parameters based on a complete sample. The parameters were estimated by the maximum likelihood method. Critical values were found by Monte Carlo simulation for the modified Kolmogorov-Smirnov, Anderson-Darling, Cramer-von Mises, and Lilliefors test statistics. The power of these test statistics founded the optimal alternative distribution. Real data applications were used as examples for the goodness of fit tests.

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35

Giles, David. "A SADDLEPOINT APPROXIMATION TO THE DISTRIBUTION FUNCTION OF THE ANDERSON-DARLING TEST STATISTIC." Communications in Statistics: Simulation and Computation 30, no. 4 (2001): 899–905. http://dx.doi.org/10.1081/sac-100107787.

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36

Murakami, Hidetoshi. "Saddlepoint Approximations to the Limiting Distribution of the Modified Anderson–Darling Test Statistic." Communications in Statistics - Simulation and Computation 38, no. 10 (2009): 2214–19. http://dx.doi.org/10.1080/03610910903277859.

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Best, D. J., J. C. W. Rayner, and O. Thas. "Tests of Fit for the Logarithmic Distribution." Journal of Applied Mathematics and Decision Sciences 2008 (March 19, 2008): 1–8. http://dx.doi.org/10.1155/2008/463781.

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Smooth tests for the logarithmic distribution are compared with three tests: the first is a test due to Epps and is based on a probability generating function, the second is the Anderson-Darling test, and the third is due to Klar and is based on the empirical integrated distribution function. These tests all have substantially better power than the traditional Pearson-Fisher X2 test of fit for the logarithmic. These traditional chi-squared tests are the only logarithmic tests of fit commonly applied by ecologists and other scientists.

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Ivankić, Josip, Deni Ćetković, and Dario Matika. "Maintenance of Filter at The Gas Turbine Compressor Intake and Electric Transformer Connector Based on Operational Reliability." Journal of Energy - Energija 70, no. 1 (2021): 22–28. http://dx.doi.org/10.37798/202170144.

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The article analyzes the operational reliability of filter on the gas turbine compressor intake and the operational reliability of electric transformer connector. Empirical data (statistical sample) were collected to determine the failure density function f (t), the hazard function λ (t), and the expected value of mean time to failure MTTF. The numerical model was created in the Minitab 19 software tool. The Anderson-Darling test was used to accept or reject the hypothesis.

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Park, Sangun. "Information Measure in Terms of the Hazard Function and Its Estimate." Entropy 23, no. 3 (2021): 298. http://dx.doi.org/10.3390/e23030298.

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It is well-known that some information measures, including Fisher information and entropy, can be represented in terms of the hazard function. In this paper, we provide the representations of more information measures, including quantal Fisher information and quantal Kullback-leibler information, in terms of the hazard function and reverse hazard function. We provide some estimators of the quantal KL information, which include the Anderson-Darling test statistic, and compare their performances.

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40

Kruszyńska, Ewa, and Joanna Poczta. "Hierarchy of Factors Affecting the Condition and Development of Sports and Recreation Infrastructure—Impact on the Recreational Activity and Health of the Residents of a City (Poznan Case Study)." International Journal of Environmental Research and Public Health 16, no. 4 (2019): 556. http://dx.doi.org/10.3390/ijerph16040556.

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The aim of the article is to identify which groups of factors (economic, social, and spatial) significantly determine the condition and development of the sports and recreation infrastructure of the city of Poznan and shape the needs and expectations of its residents. Standardized interviews among 39 service providers and 1159 service recipients made it possible to collect primary data on the presentation of the pace and directions of changes taking place in the sports and recreational facilities of the city, paying special attention to identifying and prioritizing factors determining this dev

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41

Carvalho, Luiz Victor Teodoro M. de, Renan Rosa Matos, Ana Paula Silva Capuci, Larielly Regina Santos Silva, and Mauro Luiz Begnini. "Kinetic Calculations of Starch Degradation Rate by Ptyalin." Revista de Gestão Social e Ambiental 18, no. 11 (2024): e09922. http://dx.doi.org/10.24857/rgsa.v18n11-179.

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Objectives: This study aims to investigate the kinetics of starch processing by ptyalin, the enzyme responsible for initiating starch digestion in the mouth. Kinetic parameters such as Km and Vmax will be calculated from the Lineweaver-Burk plot, covering the surface layer of starch-ptyalin interaction and the maximum rate of enzymatic activity. Theoretical Framework: Starch is a complex carbohydrate essential in the human diet, composed of amylose and amylopectin, and is commonly found in foods like sliced bread. Ptyalin, also known as salivary amylase, initiates the starch digestion process

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42

Wang, Chao, and He Zhu. "Tests of fit for the power function lognormal distribution." PLOS ONE 19, no. 2 (2024): e0298309. http://dx.doi.org/10.1371/journal.pone.0298309.

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In this study, tests of fit for the power function lognormal distribution is considered. The probability plot, probability plot correlation coefficient, and goodness-of-fit tests—the Kolmogorov–Smirnov (KS), Cramér–von Mises (CvM), and Anderson–Darling (AD) tests are provided. Tables of critical values are presented by using simulation techniques, and the AD test outperforms KS and CvM tests based on power comparisons. Finally, to illustrate these test procedures, we fit this distribution to the data which represent the survival times of 121 breast cancer patients from one hospital.

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43

Tolikas, Konstantinos, and Saeed Heravi. "The Anderson–Darling Goodness-of-Fit Test Statistic for the Three-Parameter Lognormal Distribution." Communications in Statistics - Theory and Methods 37, no. 19 (2008): 3135–43. http://dx.doi.org/10.1080/03610920802101571.

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Giancristofaro, Rosa Arboretti, Fortunato Pesarin, and Luigi Salmaso. "Permutation Anderson–Darling Type and Moment-Based Test Statistics for Univariate Ordered Categorical Data." Communications in Statistics - Simulation and Computation 36, no. 1 (2007): 139–50. http://dx.doi.org/10.1080/03610910601096049.

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Septiany, Rafika, Berlian Setiawaty, and I. Gusti Putu Purnaba. "The Use of Monte Carlo Method to Model the Aggregate Loss Distribution." Al-Jabar : Jurnal Pendidikan Matematika 11, no. 1 (2020): 179–90. http://dx.doi.org/10.24042/ajpm.v11i1.6599.

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Based on Law Number 24 of 2011, a state program was established to provide social protection and welfare for everyone, one of which is health insurance by the Social Insurance Administration Organization (BPJS). In its implementation, several important evaluations are needed. One that requires accurate evaluation is claim frequency and claim severity in determining premiums and reserved funds. This thesis provides one form of a method for selecting the distribution of claim frequency and claim severity. The data used in this study was taken from BPJS Health in the City of Tangerang in 2017. Th

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Pekgör, A. "A Novel Goodness-of-Fit Test for Cauchy Distribution." Journal of Mathematics 2023 (March 14, 2023): 1–14. http://dx.doi.org/10.1155/2023/9200213.

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Recently, several goodness-of-fit tests for Cauchy distribution have been introduced based on Kullback–Leibler divergence and likelihood ratio. It is claimed that these tests are more powerful than the well-known goodness-of-fit tests such as Kolmogorov–Smirnov, Anderson–Darling, and Cramér–von Mises under some cases. In this study, a novel goodness-of-fit test is proposed for the Cauchy distribution and the asymptotic null distribution of the test statistic is derived. The critical values of the proposed test are also determined through a Monte Carlo simulation for different sample sizes. The

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Fawzee, Meeran Akram, Samira M. Salh, and Slahaddin A. Ahmed. "Statistical Distribution of Rainfall in Kurdistan-Iraq Region." Al-Mustansiriyah Journal of Science 30, no. 4 (2020): 18. http://dx.doi.org/10.23851/mjs.v30i4.662.

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Study the statistical distribution for rainfall is important to know the behaviour of the rainfall series and to know the most frequently rainfall amount in each month. Five statistical distribution were applied on Sulaimani, Erbil and Duhok rainfall series for the period (1941-2017) except Duhok (1944-2017). These distributions were Gamma(3P), Weibul(3P), Earlang (3P), Normal and General extreme value. Kolmogrove-Semirnov, Anderson-Darling and Chi-Square goodness of fit test were used to know the best fit distribution from these five distributions.

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Irfan, Muhammad, and Maria Irfan . "Weak Form Efficiency of Pakistan Stock Market using Non-Parametric Approaches." Journal of Social and Development Sciences 2, no. 6 (2011): 249–57. http://dx.doi.org/10.22610/jsds.v2i6.675.

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This paper studies the performance of Karachi Stock Exchange (KSE) of Pakistan via nonparametric approaches. The study includes the weekly open and closing prices of KSE- 100 indexes for the period of 1st January 1999 to 31st August 2009. Several non-parametric approaches including KolmogorovSmirnov test (Lilliefors test), Ryan-Joiner test (Shapiro-Wilk), Anderson-Darling test, Phillips Perron (PP) unit root test and Runs test are used to test the conviction of the KSE stock market. All non-parametric tests graphically and numerically inform us that both return series do not follow the assumpt

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Coronel-Brizio, H. F., and A. R. Hernández-Montoya. "The Anderson–Darling test of fit for the power-law distribution from left-censored samples." Physica A: Statistical Mechanics and its Applications 389, no. 17 (2010): 3508–15. http://dx.doi.org/10.1016/j.physa.2010.03.041.

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Pomory, Christopher M. "A note on calculatingPvalues from 0.15–0.005 for the Anderson-Darling normality test using theFdistribution." Journal of Applied Statistics 33, no. 4 (2006): 461–62. http://dx.doi.org/10.1080/02664760600677720.

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