A Note on Independent and Exhaustive Events |
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| Authors: | Daniel Krewski Mikelis Bickis |
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| Affiliation: | Biostatistics and Computer Applications Division , Environmental Health Directorate, Health and Welfare Canada, Tunney's Pasture , Ottawa , Ontario , K1A 0L2 , Canada |
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| Abstract: | In this article, we show that a finite collection of independent events cannot be exhaustive except in the trivial case in which one of the events occurs with probability one. For an infinite collection of events, however, exhaustiveness need not preclude independence. Illustrative examples are provided. |
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| Keywords: | Independence Exhaustive events Mutually exclusive events |
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