Random Number Generation and Goodness -of- Fit Tests for the Lerch Distribution [PDF]
The Lerch family of discrete distributions includes as special cases the Zipf, Zipf-Manelbrot, the logarithmic and the polylogarithmic distributions. These positively skewed long tailed distributions are used, independent from each other, in linguistics,
Osama Hussien
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Multivariate goodness-of-fit tests based on kernel density estimators
The paper is devoted to multivariate goodness-of-fit ests based on kernel density estimators. Both simple and composite null hypotheses are investigated.
Aleksej Bakshaev, Rimantas Rudzkis
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How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
The purpose of this article was to introduce the goodness of fit test and its SAS implementation. The main contents included the following four aspects: ① Pearson΄s goodness of fit test; ② deviance or likelihood ratio goodness of fit test; ③ Hosmer ...
Hu Chunyan, Hu Liangping
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Goodness of Fit Tests and Power Comparisons for Weighted Gamma Distribution
In this paper, a weighted version of Gamma distribution known as Weighted Gamma (WG) distribution has been considered. Various tests of goodness of fit viz Kolmogorov–Smirnov, Cram´er–von Mises and Anderson–Darling have been applied to this family ...
Neetu Singla +2 more
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Dry months in the agricultural region of Ribeirão Preto, state of São Paulo-Brazil: an study based on the extreme value theory [PDF]
The application of the Extreme Value Theory (EVT) to model the probability of occurrence of extreme low Standardized Precipitation Index (SPI) values leads to an increase of the knowledge related to the occurrence of extreme dry months.
Gabriel C. Blain
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Cramer-von Mises and Anderson-Darling goodness of fit tests for extreme value distributions with unknown parameters [PDF]
The use of goodness of fit tests based on Cramer-von Mises and Anderson-Darling statistics is discussed, with reference to the composite hypothesis that a sample of observations comes from a distribution, FH, whose parameters are unspecified.
Laio, Francesco, Francesco Laio
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Statistical Power of Goodness-of-Fit Tests for Type~I Left-Censored Data
Type I doubly left-censored data often arise in environmental studies. In this paper, the power of the most frequently used goodness-of-fit tests (Kolmogorov-Smirnov, Cramér-von Mises, Anderson-Darling) is studied considering various sample sizes and ...
Michal Fusek
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Karhunen-loève basis in goodness-of-fit tests decomposition: an evaluation [PDF]
In a previous paper (Grané and Fortiana 2006) we studied a flexible class of goodness-of-fit tests associated with an orthogonal sequence, the Karhunen-Loève decomposition of a stochastic process derived from the null hypothesis.
Grané Chávez, Aurea, Fortiana, Josep
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Random coefficient regressions: parametric goodness of fit tests [PDF]
Random coefficient regression models have been applied in different fields during recent years and they are a unifying frame for many statistical models.
Delicado, Pedro, Romo, Juan
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A Novel Goodness-of-Fit Test for Cauchy Distribution
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 ...
A. Pekgör
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