Abstract
The theory of conditional independence is explained and the relations between anaillaritry, sufficiency, and statistical independence are discussed in depth. Some related concepts like specific sufficiency, bounded completeness, and splitting sets are also studied in some details by using the language of conditional independence.
*Research partially supported by NSF Grant No. 79-04693.
**Research supported by CNPq, CAPES and USP—Brazil.
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Key Words
- Conditional independence
- ancillarity
- suffciency
- Markov property (strong)
- identification
- splitting sets
- measurable separability
- specific suffciency
- variation independence
AMS classification
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Basu*, D., Pereira**, C.A.B. (2011). Conditional Independence in Statistics. In: DasGupta, A. (eds) Selected Works of Debabrata Basu. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5825-9_32
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