Extremal problems for regenerative phenomena
This paper explores the possibility of a calculus of variations powerful enough to prove inequalities for the p-functions of regenerative phenomena such as that conjectured by Davidson and proved by Dai. It is shown that this is unlikely to be achieved by compactifying the space of standard p-functi...
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| Veröffentlicht in: | Journal of applied probability 2004, Vol.41 (A), p.333-346 |
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| container_end_page | 346 |
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| container_issue | A |
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| container_title | Journal of applied probability |
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| creator | Kingman, J. F. C. |
| description | This paper explores the possibility of a calculus of variations powerful enough to prove inequalities for the p-functions of regenerative phenomena such as that conjectured by Davidson and proved by Dai. It is shown that this is unlikely to be achieved by compactifying the space of standard p-functions, and a more promising approach is that of working in a compact subspace. The analysis leads to a class of candidate p-functions which contains all the maxima of general functionals. |
| doi_str_mv | 10.1239/jap/1082552209 |
| format | Article |
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C.</creatorcontrib><title>Extremal problems for regenerative phenomena</title><title>Journal of applied probability</title><addtitle>Journal of Applied Probability</addtitle><description>This paper explores the possibility of a calculus of variations powerful enough to prove inequalities for the p-functions of regenerative phenomena such as that conjectured by Davidson and proved by Dai. It is shown that this is unlikely to be achieved by compactifying the space of standard p-functions, and a more promising approach is that of working in a compact subspace. The analysis leads to a class of candidate p-functions which contains all the maxima of general functionals.</description><subject>49K77</subject><subject>60J99</subject><subject>Average linear density</subject><subject>Calculus of variations</subject><subject>compact function spaces</subject><subject>Homeomorphism</subject><subject>Inequalities for p-functions</subject><subject>Integers</subject><subject>Laplace transformation</subject><subject>Mathematical functions</subject><subject>Mathematical inequalities</subject><subject>Part 6. 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C.</creator><general>Cambridge University Press</general><general>Applied Probability Trust</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2004</creationdate><title>Extremal problems for regenerative phenomena</title><author>Kingman, J. F. C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-98d626dc822a013317b0dc6b31aa8fd0b7e99aee78f6d1dc9e64c93ab61571c53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>49K77</topic><topic>60J99</topic><topic>Average linear density</topic><topic>Calculus of variations</topic><topic>compact function spaces</topic><topic>Homeomorphism</topic><topic>Inequalities for p-functions</topic><topic>Integers</topic><topic>Laplace transformation</topic><topic>Mathematical functions</topic><topic>Mathematical inequalities</topic><topic>Part 6. Stochastic processes</topic><topic>Stochastic Processes</topic><topic>Topological compactness</topic><topic>Topological spaces</topic><topic>Volterra equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kingman, J. F. C.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of applied probability</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kingman, J. F. C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extremal problems for regenerative phenomena</atitle><jtitle>Journal of applied probability</jtitle><addtitle>Journal of Applied Probability</addtitle><date>2004</date><risdate>2004</risdate><volume>41</volume><issue>A</issue><spage>333</spage><epage>346</epage><pages>333-346</pages><issn>0021-9002</issn><eissn>1475-6072</eissn><abstract>This paper explores the possibility of a calculus of variations powerful enough to prove inequalities for the p-functions of regenerative phenomena such as that conjectured by Davidson and proved by Dai. It is shown that this is unlikely to be achieved by compactifying the space of standard p-functions, and a more promising approach is that of working in a compact subspace. 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| ispartof | Journal of applied probability, 2004, Vol.41 (A), p.333-346 |
| issn | 0021-9002 1475-6072 |
| language | eng |
| recordid | cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1082552209 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | 49K77 60J99 Average linear density Calculus of variations compact function spaces Homeomorphism Inequalities for p-functions Integers Laplace transformation Mathematical functions Mathematical inequalities Part 6. Stochastic processes Stochastic Processes Topological compactness Topological spaces Volterra equations |
| title | Extremal problems for regenerative phenomena |
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