{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T07:41:55Z","timestamp":1776411715394,"version":"3.51.2"},"reference-count":17,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1990,6,1]],"date-time":"1990-06-01T00:00:00Z","timestamp":644198400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8447,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1990,6]]},"DOI":"10.1016\/0166-218x(90)90068-n","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:01Z","timestamp":1027654981000},"page":"235-254","source":"Crossref","is-referenced-by-count":44,"title":["The discrete moment problem and linear programming"],"prefix":"10.1016","volume":"27","author":[{"given":"Andr\u00e1s","family":"Pr\u00e9kopa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(90)90068-N_BIB1","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1007\/BFb0121114","article-title":"Designing approximation schemes for stochastic optimization problems, in particular for stochastic programs with recourse","volume":"27","author":"Birge","year":"1984","journal-title":"Math. Programming Stud."},{"key":"10.1016\/0166-218X(90)90068-N_BIB2","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1287\/moor.2.2.103","article-title":"New finite pivoting rules for the simplix method","volume":"2","author":"Bland","year":"1977","journal-title":"Math. Oper. Res."},{"key":"10.1016\/0166-218X(90)90068-N_BIB3","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1287\/moor.14.2.317","article-title":"Closed form two-sided bounds for probabilities that exactly r and at least r out of n events occur","volume":"14","author":"Boros","year":"1989","journal-title":"Math. Oper. Res."},{"key":"10.1016\/0166-218X(90)90068-N_BIB4","series-title":"Progress in Operations Research","first-page":"303","article-title":"Minimax stochastic programs with nonconvex separable penalty functions","author":"Dupac\u0306ova","year":"1976"},{"key":"10.1016\/0166-218X(90)90068-N_BIB5","series-title":"Bounds on the expectation of a convex function of a random variable","author":"Edmundson","year":"1956"},{"key":"10.1016\/0166-218X(90)90068-N_BIB6","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF03015009","article-title":"\u00dcber ein Problem von Laguerre","volume":"23","author":"Fekete","year":"1912","journal-title":"Rend. Circ. Mat. Palermo"},{"key":"10.1016\/0166-218X(90)90068-N_BIB7","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF02418571","article-title":"Sur les fonctions convexes et les in\u00e9galit\u00e9s entre les valeurs moyennes","volume":"30","author":"Jensen","year":"1906","journal-title":"Acta Math."},{"key":"10.1016\/0166-218X(90)90068-N_BIB8","series-title":"Calculus of Finite Differences","author":"Jordan","year":"1947"},{"key":"10.1016\/0166-218X(90)90068-N_BIB9","series-title":"Tchebycheff Systems: With Applications in Analysis and Statistics","author":"Karlin","year":"1966"},{"key":"10.1016\/0166-218X(90)90068-N_BIB10","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1214\/aoms\/1177698508","article-title":"The general moment problem, a geometric approach","volume":"39","author":"Kemperman","year":"1968","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/0166-218X(90)90068-N_BIB11","article-title":"The Markov moment probem and extremal problems","volume":"50","author":"Krein","year":"1977"},{"key":"10.1016\/0166-218X(90)90068-N_BIB12","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1002\/nav.3800010107","article-title":"The dual method for solving the linear programming problem","volume":"1","author":"Lemke","year":"1954","journal-title":"Naval Res. Logist. Quart."},{"key":"10.1016\/0166-218X(90)90068-N_BIB13","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1214\/aoms\/1177706203","article-title":"Bounds on the expectations of a convex function of a multivariate random variable","volume":"30","author":"Madansky","year":"1959","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/0166-218X(90)90068-N_BIB14","series-title":"Actualit\u00e9s Scientifiques et Industrielles 992","article-title":"Les fonctions convexes","author":"Popoviciu","year":"1945"},{"key":"10.1016\/0166-218X(90)90068-N_BIB15","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1287\/opre.36.1.145","article-title":"Boole-Bonferroni inequalities and linear programming","volume":"36","author":"Pr\u00e9kopa","year":"1988","journal-title":"Oper. Res."},{"key":"10.1016\/0166-218X(90)90068-N_BIB16","doi-asserted-by":"crossref","unstructured":"A. Pr\u00e9kopa, Sharp bounds on probabilities using linear programming Oper. Res. to appear.","DOI":"10.1287\/opre.38.2.227"},{"key":"10.1016\/0166-218X(90)90068-N_BIB17","series-title":"L.V. Kantorovich Memorial Volume","article-title":"Totally positive linear programming problems","author":"Pr\u00e9kopa","year":"1989"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9090068N?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9090068N?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T05:57:10Z","timestamp":1555135030000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X9090068N"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,6]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1990,6]]}},"alternative-id":["0166218X9090068N"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(90)90068-n","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1990,6]]}}}