Test of independence in the Farlie-Gumbel-Morgenstern distribution

Date

2003-01-01

Author

Guven, B

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

130
views

0
downloads

We consider the hypotheses; H-0 : theta = 0 vs. H-1 : theta greater than or equal to eta where theta is the dependence parameter of the Farlie-Gumbel-Morgenstren distribution and eta is an element of (0, 1]. A test, which maximizes the minimum power over the alternative hypothesis, is given for these hypotheses. The power function of this test is monotone increasing over the alternative hypothesis. Furthermore, the asymptotic distribution and the approximate power of the test are presented.

Subject Keywords

Independence, Quadrant dependence, Mellin transform, Inversion integral, Test function, Likelihood ratio, Approximated power

URI

https://hdl.handle.net/11511/63665

Journal

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

DOI

https://doi.org/10.1081/sta.120022707

Collections

Department of Statistics, Article

Suggestions

OpenMETU
Core

Test of independence for generalized Farlie-Gumbel-Morgenstern distributions Guven, Bilgehan; Kotz, Samual (2008-01-15) Given a pair of absolutely continuous random variables (X, Y) distributed as the generalized Farlie-Gumbel-Morgenstern (GFGM) distribution, we develop a test for testing the hypothesis: X and Y are independent vs. the alternative; X and Y are positively (negatively) quadrant dependent above a preassigned degree of dependence. The proposed test maximizes the minimum power over the alternative hypothesis. Also it possesses a monotone increasing power with respect to the dependence parameter of the GFGM distri...
Breaking diffeomorphism invariance and tests for the emergence of gravity Anber, Mohamed M.; Aydemir, Ufuk; Donoghue, John F. (2010-4-01) If general relativity is an emergent phenomenon, there may be small violations of diffeomorphism invariance. We propose a phenomenology of perturbatively small violations of general relativity by the inclusion of terms which break general covariance. These can be tested by matching to the parameterized post-Newtonian formalism. The most sensitive tests involve pulsar timing and provide an extremely strong bound, with a dimensionless constraint of order 10(-20) relative to gravitational strength.
Mitochondrial DNA variation in honey bee (Apis mellifera L.) populations from Turkey Kandemir, Irfan; Kence, Meral; Sheppard, Walter S.; Kence, Aykut (Informa UK Limited, 2006-01-01) We have studied mitochondrial (mt) DNA variation in 334 honey bee colonies from 7 different geographic regions of Turkey. We have evaluated Dra I restriction profiles of the CO-I CO-II intergenic region, Hinf-I and Taq-1 restriction profiles of the CO-I gene and EcoR-1 restriction profiles of the whole mtDNA. We obtained three different mtDNA patterns by EcoR-1 digestion. The pattern typical for A. m. carnica/A. m. ligustica predominated throughout Turkey (327 colonies, 97.9%). We observed the pattern commo...
Problems of Massive Gravity Boybeyi, Töre Deniz; Tekin, Bayram; Department of Physics (2021-8-5) In this thesis, the general properties of massive gravitation theories are outlined. Particular attention is given to the van Dam-Veltman-Zakharov discontinuity which arises in the massless limit of massive theories. Also, the observational, holographic, and thermodynamic properties of these theories are mentioned.
Investigation of science and technology exam questions in terms of mathematical knowledge Cebesoy, Umran Betul; Yeniterzi, Betül (2013-02-08) The connection between science and mathematics is undeniable but also a complex phenomenon. The present study aimed to examine types of questions in science exam papers in 7th grade "force and motion" unit and the consistency between questions and objectives in this unit. The study also aimed to determine if there are questions related to mathematics. If yes, which mathematics subjects they are related with. Document analysis was used for data collection. 19 exam papers prepared by different science teacher...

Citation Formats

B. Guven, “Test of independence in the Farlie-Gumbel-Morgenstern distribution,” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, pp. 1753–1765, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63665.