scholarly journals The conditional independence property in filtrations associated to stopping lines

1981 ◽  
pp. 202-210
Author(s):  
D. Nualart ◽  
M. Sanz
Keyword(s):  
Conditional Independence ◽  
Independence Property

scholarly journals Markovianness and conditional independence in annotated bacterial DNA

2014 ◽  
Vol 13 (6) ◽  
Author(s):  
Andrew Hart ◽  
Servet Martínez
Keyword(s):  
Markov Chain ◽  
Conditional Independence ◽  
Bacterial Genome ◽  
Bacterial Genomes ◽  
Independence Property ◽  
Bacterial Dna ◽  
Stop Codons ◽  
Coding Regions ◽  
Parity Rule ◽  
Probabilistic Structure

AbstractWe explore the probabilistic structure of DNA in a number of bacterial genomes and conclude that a form of Markovianness is present at the boundaries between coding and non-coding regions, that is, the sequence of START and STOP codons annotated for the bacterial genome. This sequence is shown to satisfy a conditional independence property which allows its governing Markov chain to be uniquely identified from the abundances of START and STOP codons. Furthermore, we show that the annotated sequence of STARTs and STOPs complies with Chargaff’s second parity rule.

Corporate bond defaults are consistent with conditional independence

2010 ◽  
Vol 6 (2) ◽  
pp. 3-35 ◽  
Author(s):  
Florian Kramer ◽  
Gunter Löffler
Keyword(s):  
Conditional Independence ◽  
Corporate Bond

Dichotomization, Partial Correlation, and Conditional Independence

1996 ◽  
Vol 21 (3) ◽  
pp. 264-282 ◽  
Author(s):  
András Vargha ◽  
Tamás Rudas ◽  
Harold D. Delaney ◽  
Scott E. Maxwell
Keyword(s):  
Conditional Independence ◽  
Partial Correlation ◽  
Statistical Significance ◽  
Conventional Wisdom ◽  
Predictor Variables ◽  
Lower Power ◽  
Partial Correlations ◽  
Current Article ◽  
The Difference ◽  
The Relationship

It was recently demonstrated that performing median splits on both of two predictor variables could sometimes result in spurious statistical significance instead of lower power. Not only is the conventional wisdom that dichotomization always lowers power incorrect, but the current article further demonstrates that inflation of apparent effects can also occur in certain cases where only one of two predictor variables is dichotomized. In addition, we show that previously published formulas claiming that correlations are necessarily reduced by bivariate dichotomization are incorrect. While the magnitude of the difference between the correct and incorrect formulas is not great for small or moderate correlations, it is important to correct the misunderstanding of partial correlations that led to the error in the previous derivations. This is done by considering the relationship between partial correlation and conditional independence in the context of dichotomized predictor variables.

scholarly journals Nonparametric Bayes inference on conditional independence

Biometrika ◽  
2016 ◽  
Vol 103 (1) ◽  
pp. 35-47 ◽  
Author(s):  
Tsuyoshi Kunihama ◽  
David B. Dunson
Keyword(s):  
Conditional Independence ◽  
Nonparametric Bayes ◽  
Bayes Inference ◽  
Nonparametric Bayes Inference
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