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Confidence Bounds for Multiplicative Comparisons
Statements that are inherently multiplicative have historically been justified using ratios of random variables. Although recent work on ratios has extended the classical theory to produce confidence bounds conditioned on a positive denominator, this current article offers a novel perspective that e...
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| Published in: | Communications in statistics. Theory and methods 2011-09, Vol.40 (17), p.3049-3054 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c436t-4689688a27629b3d49d19187b4191e0c00ea7fadb743e4c76ca7fc95b63c33753 |
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| cites | cdi_FETCH-LOGICAL-c436t-4689688a27629b3d49d19187b4191e0c00ea7fadb743e4c76ca7fc95b63c33753 |
| container_end_page | 3054 |
| container_issue | 17 |
| container_start_page | 3049 |
| container_title | Communications in statistics. Theory and methods |
| container_volume | 40 |
| creator | Ennis, John M. Ennis, Daniel M. |
| description | Statements that are inherently multiplicative have historically been justified using ratios of random variables. Although recent work on ratios has extended the classical theory to produce confidence bounds conditioned on a positive denominator, this current article offers a novel perspective that eliminates the need for such a condition. Although seemingly trivial, this new perspective leads to improved lower confidence bounds to support multiplicative statements. This perspective is also more satisfying as it allows comparisons that are inherently multiplicative in nature to be properly analyzed as such. |
| doi_str_mv | 10.1080/03610921003646398 |
| format | article |
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| identifier | ISSN: 0361-0926 |
| ispartof | Communications in statistics. Theory and methods, 2011-09, Vol.40 (17), p.3049-3054 |
| issn | 0361-0926 1532-415X |
| language | eng |
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| source | Taylor and Francis:Jisc Collections:Taylor and Francis Read and Publish Agreement 2024-2025:Science and Technology Collection (Reading list) |
| subjects | Conditioning Confidence Confidence interval Confidence intervals Estimation Exact sciences and technology General topics Global analysis, analysis on manifolds Mathematics Multiplicative comparison Multiplicative statement Nonparametric inference Parametric inference Primary 62F25 Probability and statistics Random variables Ratio statement Ratios Ratios of normal random variable Sciences and techniques of general use Secondary 62F03 Statistics Studies Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds |
| title | Confidence Bounds for Multiplicative Comparisons |
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