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Misclassified size-biased modified power series distribution and its applications

Anwar Hassan, Peer Bilal Ahmad (2009)

Mathematica Bohemica

A misclassified size-biased modified power series distribution (MSBMPSD) where some of the observations corresponding to x = 2 are misclassified as x = 1 with probability α , is defined. We obtain its recurrence relations among ordinary, central and factorial moments and also for some of its particular cases like the size-biased generalized negative binomial (SBGNB) and the size-biased generalized Poisson (SBGP) distributions. We also discuss the effect of the misclassification on the variance for MSBMPSD...

New estimates and tests of independence in semiparametric copula models

Salim Bouzebda, Amor Keziou (2010)

Kybernetika

We introduce new estimates and tests of independence in copula models with unknown margins using φ -divergences and the duality technique. The asymptotic laws of the estimates and the test statistics are established both when the parameter is an interior or a boundary value of the parameter space. Simulation results show that the choice of χ 2 -divergence has good properties in terms of efficiency-robustness.

On equivalence and bioequivalence testing.

Jordi Ocaña, M. Pilar Sánchez O., Álex Sánchez, Josep Lluís Carrasco (2008)

SORT

Equivalence testing is the natural approach to many statistical problems. First, its main application, bioequivalence testing, is reviewed. The basic concepts of bioequivalence testing (2×2 crossover designs, TOST, interval inclusion principle, etc.) and its problems (TOST biased character, the carryover problem, etc.) are considered. Next, equivalence testing is discussed more generally. Some applications and methods are reviewed and the relation of equivalence testing and distance-based inference...

On non-nested regression models

Jiří Anděl (1993)

Commentationes Mathematicae Universitatis Carolinae

A generalization of a test for non-nested models in linear regression is derived for the case when there are several regression models with more regressors.

On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables

Navaei, Leader (2011)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 62P30.In this paper by using theory of large deviation techniques (LDT), the problem of hypotheses testing for three random variables having different distributions from three possible distributions is solved. Hypotheses identification for two objects having different distributions from two given probability distributions was examined by Ahlswewde and Haroutunian. We noticed Sanov's theorem and its applications in hypotheses testing.

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