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Asymptotic Pitman's Relative Efficiency
Statistica, 2017 Pitman efficiency is the oldest known efficiency. Most of the known results for computing the Pitman efficiency take the form of bounds. Based on some recent developments due to the authors and some calculus of variations, we develop tools for ...
Christopher S. Withers +1 more
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$H_0$-Contiguity in Nonparametric Testing Problems and Sample Pitman Efficiency
Annals of Statistics, 1982 The concept of $H_0$-contiguity is studied for certain nonparametric testing problems. Furthermore, it is shown that a meaningful sample definition of Pitman efficiency is possible under $H_0$-contiguity, and this definition turns out to coincide with the usual efficiency concept based on comparing asymptotic distributions.
Georg Neuhaus
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Some Properties of the Asymptotic Relative Pitman Efficiency
Annals of Statistics, 1981 A general approach to Pitman efficiency as a limit of the ratio of sample sizes is presented. The results can be used especially to derive the Pitman efficiency of tests based on asymptotically $\chi^2$-distributed statistics with different degrees of freedom.
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A Condition Under Which the Pitman and Bahadur Approaches to Efficiency Coincide
Annals of Statistics, 1976 The approximate Bahadur efficiency and the Pitman efficiency for hypothesis testing problems are considered. A theorem is stated and proved which gives a condition under which the existence of the limiting (as the alternative approaches the hypothesis) approximate Bahadur efficiency implies the existence of the limiting (as the significance level ...
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On the limiting Pitman efficiency of some rank tests of independence
Journal of Multivariate Analysis, 1986 Kendall's tau and Spearman's rho may be expressed by the use of standard sequences with parameter \(a=1\). The paper uses the fact that the main assumption of \textit{H. S. Wieand}'s theorem [Ann. Stat. 4, 1003-1011 (1976; Zbl 0351.62033)] may be replaced by an equivalent one which is presented in section 2.
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Two New Estimators for a Normal Coefficient of Variation based on Ranked Set Sampling [PDF]
المجلة العلمية للدراسات والبحوث المالية والإدارية, 2021 This article addresses the estimation for the coefficient of variation (CV) of the normal distribution considering ranked set sampling. Using EM algorithm and linear interpolation technique, two new estimators for the CV are proposed.
Mohamed S. Abdallah, Mohamed S. Hamouda
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BNPmix: An R Package for Bayesian Nonparametric Modeling via Pitman-Yor Mixtures
Journal of Statistical Software, 2021 BNPmix is an R package for Bayesian nonparametric multivariate density estimation, clustering, and regression, using Pitman-Yor mixture models, a flexible and robust generalization of the popular class of Dirichlet process mixture models.
Riccardo Corradin +2 more
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Goodness of Fit Approach for Testing Exponential Better than Used in Convex for Life Distributions [PDF]
The Egyptian Statistical Journal, 2004 Test statistic is derived for testing exponentiality against exponential better (worse) than used in convex EBUC (EWUC). Selected critical values are tabulated for sample size n=5(1)25(5) 50.
M. Hendi, N. AL-Ghufily
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A Testing for New Renewal Better than Used Class of Survival Functions [PDF]
The Egyptian Statistical Journal, 2000 A U-statistic is derived for testing exponentiality against new renewal better (worse) than used. For this class of life distributions, a nonparametric procedure (U-statistic) is presented in this investigation. Selected critical values are tabulated for
M. Hendi
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A General Class of Tests for Testing Homogeneity of Location Parameters against Umbrella Alternatives [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2018 In this paper, a general class of non-parametric tests for testing homogeneity of location parameter against umbrella alternatives is proposed. Testing for umbrella alternatives has many applications in the field of biology, medicine, botany, dose level ...
Manish Goyal, Narinder Kumar
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