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A New Order Estimator for Fixed and Variable Length Markov Models with Applications to DNA Sequence Similarity
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Daniel Dalevi
Published/Copyright:
March 17, 2006
Recently Peres and Shields discovered a new method for estimating the order of a stationary fixed order Markov chain. They showed that the estimator is consistent by proving a threshold result. While this threshold is valid asymptotically in the limit, it is not very useful for DNA sequence analysis where data sizes are moderate. In this paper we give a novel interpretation of the Peres-Shields estimator as a sharp transition phenomenon. This yields a precise and powerful estimator that quickly identifies the core dependencies in data. We show that it compares favorably to other estimators, especially in the presence of variable dependencies. Motivated by this last point, we extend the Peres-Shields estimator to Variable Length Markov Chains. We compare it to a well-established estimator and show that it is superior in terms of the predictive likelihood. We give an application to the problem of detecting DNA sequence similarity in plasmids.
Published Online: 2006-3-17
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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- Validation in Genomics: CpG Island Methylation Revisited
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- Letter to the Editor
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Keywords for this article
computational biology/bioinformatics;
statistical models;
statistical theory and methods
Articles in the same Issue
- Article
- Low-Order Conditional Independence Graphs for Inferring Genetic Networks
- A Generalized Clustering Problem, with Application to DNA Microarrays
- A Bayes Regression Approach to Array-CGH Data
- Statistical Selection of Maintenance Genes for Normalization of Gene Expressions
- Predicting the Strongest Domain-Domain Contact in Interacting Protein Pairs
- Dimension Reduction for Classification with Gene Expression Microarray Data
- A New Type of Stochastic Dependence Revealed in Gene Expression Data
- A New Order Estimator for Fixed and Variable Length Markov Models with Applications to DNA Sequence Similarity
- Quality Optimised Analysis of General Paired Microarray Experiments
- Issues of Processing and Multiple Testing of SELDI-TOF MS Proteomic Data
- Cross-Validated Bagged Prediction of Survival
- Treatment of Uninformative Families in Mean Allele Sharing Tests for Linkage
- Quantile-Function Based Null Distribution in Resampling Based Multiple Testing
- Combining Results of Microarray Experiments: A Rank Aggregation Approach
- Model Selection for Mixtures of Mutagenetic Trees
- Pseudo-likelihood for Non-reversible Nucleotide Substitution Models with Neighbour Dependent Rates
- A Method to Increase the Power of Multiple Testing Procedures Through Sample Splitting
- Bayesian Hierarchical Model for Correcting Signal Saturation in Microarrays Using Pixel Intensities
- Using Complexity for the Estimation of Bayesian Networks
- Detecting Local High-Scoring Segments: a First-Stage Approach for Genome-Wide Association Studies
- Examining Protein Structure and Similarities by Spectral Analysis Technique
- Parameter Estimation for the Exponential-Normal Convolution Model for Background Correction of Affymetrix GeneChip Data
- Approximate Sample Size Calculations with Microarray Data: An Illustration
- Numerical Solutions for Patterns Statistics on Markov Chains
- A Heuristic Bayesian Method for Segmenting DNA Sequence Alignments and Detecting Evidence for Recombination and Gene Conversion
- A Two-Step Multiple Comparison Procedure for a Large Number of Tests and Multiple Treatments
- Validation in Genomics: CpG Island Methylation Revisited
- An Improved Nonparametric Approach for Detecting Differentially Expressed Genes with Replicated Microarray Data
- Letter to the Editor
- Treating Expression Levels of Different Genes as a Sample in Microarray Data Analysis: Is it Worth a Risk?
- Reader's Reaction
- Reader's Reaction to "Dimension Reduction for Classification with Gene Expression Microarray Data" by Dai et al (2006)
