Isoperimetric problem on the real line
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The isoperimetric problem on the real line for distributions with continuous positive densities is considered. Necessary and sufficient conditions under which the intervals (−∞, a) are extremal are suggested. Bibliography: 5 titles.
KeywordsReal Line Positive Density Isoperimetric Problem Continuous Positive Density
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- 4.S. Bobkov, “Isoperimetric problem for uniform enlargement,” Univ. of North Carolina at Chapel Hill, Dept. of Statistics. Tech. Report No. 394 (1993).Google Scholar
- 5.S. Bobkov, “Extremal properties of half-spaces for log-concave distributions,” Univ. of North Carolina at Chapel Hill, Dept. of Statistics. Tech. Report No. 396 (1993).Google Scholar