On tests of independence based on minimum \(\varphi \)-divergence estimator with constraints: An application to modeling DNA

DOI10.1016/j.csda.2005.11.006zbMath1157.62419OpenAlexW2030396788MaRDI QIDQ1010450

M. Luisa Menendez, Konstantinos G. Zografos, Julio Angel Pardo, Leandro Pardo

Publication date: 6 April 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2005.11.006

zbMATH Keywords

independencephi-divergence test statisticstwo-way contingency table

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Biochemistry, molecular biology (92C40) Contingency tables (62H17)

Related Items (6)

On the concentration of runs of ones of length exceeding a threshold in a Markov chain ⋮ Ordinary and penalized minimum power-divergence estimators in two-way contingency tables ⋮ On some pre-test and Stein-rule phi-divergence test estimators in the independence model of categorical data ⋮ Testing the order of Markov dependence in DNA sequences ⋮ Power-Divergence Test Statistics for Testing Linear by Linear Association ⋮ Fitting DNA sequences through log-linear modelling with linear constraints

Uses Software

• PCOAT

Cites Work

• Statistical challenges in functional genomics. (With comments and a rejoinder).
• Ancestral inference in population genetics
• Sequence comparison significance and Poisson approximation
• Analysis of genetic data from the polymerase chain reaction
• Minimum \(\phi\)-divergence estimators with constraints in multinomial populations
• Global Markov models for eukaryote nucleotide data
• Comparison of genomic sequences using the Hamming distance
• Statistical methods in bioinformatics. An introduction.
• The \(\varphi\)-divergence statistic in bivariate multinomial populations including stratification
• The Lagrangian Multiplier Test
• Maximum-Likelihood Estimation of Parameters Subject to Restraints
• Approximation Theorems of Mathematical Statistics
• C α Method for Testing for Significance in the r × c Contingency Table
• Rényi Statistics in Directed Families of Exponential Experiments*
• Extension of the Wald statistic to models with dependent observations.
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