{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T21:47:24Z","timestamp":1758404844008},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,9,1]],"date-time":"2008-09-01T00:00:00Z","timestamp":1220227200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Period Math Hung"],"published-print":{"date-parts":[[2008,9]]},"DOI":"10.1007\/s10998-008-7031-z","type":"journal-article","created":{"date-parts":[[2008,9,27]],"date-time":"2008-09-27T00:02:34Z","timestamp":1222473754000},"page":"31-60","source":"Crossref","is-referenced-by-count":3,"title":["Weak laws of large numbers for cooperative gamblers"],"prefix":"10.1007","volume":"57","author":[{"given":"S\u00e1ndor","family":"Cs\u00f6rg\u0151","sequence":"first","affiliation":[]},{"given":"Gordon","family":"Simons","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,9,28]]},"reference":[{"key":"7031_CR1","series-title":"Encyclopedia of Mathematics and its Applications","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511721434","volume-title":"Regular variation","author":"N. H. Bingham","year":"1987","unstructured":"N. H. Bingham, C. M. Goldie and J. L. Teugels, Regular variation, Encyclopedia of Mathematics and its Applications 27, Cambridge University Press, Cambridge, 1987."},{"key":"7031_CR2","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/0022-247X(71)90114-4","volume":"34","author":"R. Bojani\u0107","year":"1971","unstructured":"R. Bojani\u0107 and E. Seneta, Slowly varying functions and asymptotic relations, J. Math. Anal. Appl., 34 (1971), 302\u2013315.","journal-title":"J. Math. Anal. Appl."},{"key":"7031_CR3","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1214\/aoms\/1177693533","volume":"42","author":"Y. S. Chow","year":"1971","unstructured":"Y. S. Chow and H. Teicher, Almost certain summability of independent, identically distributed random variables, Ann. Math. Statist., 42 (1971), 401\u2013404.","journal-title":"Ann. Math. Statist."},{"key":"7031_CR4","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0304-4149(01)00075-8","volume":"94","author":"H. Cohn","year":"2001","unstructured":"H. Cohn, Convergence in probability and almost sure with applications, Stochastic Processes Appl., 94 (2001), 135\u2013154.","journal-title":"Stochastic Processes Appl."},{"key":"7031_CR5","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/BF00532224","volume":"59","author":"H. Cohn","year":"1982","unstructured":"H. Cohn and P. Hall, On the limit behaviour of weighted sums of random variables, Z. Wahrsch. Verw. Gebiete, 59 (1982), 319\u2013331.","journal-title":"Z. Wahrsch. Verw. Gebiete"},{"key":"7031_CR6","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s10998-005-0005-9","volume":"50","author":"S. Cs\u00f6rg\u0151","year":"2005","unstructured":"S. Cs\u00f6rg\u0151 and G. Simons, Laws of large numbers for cooperative St. Petersburg gamblers, Period. Math. Hungar., 50 (2005), 99\u2013115.","journal-title":"Period. Math. Hungar."},{"key":"7031_CR7","doi-asserted-by":"crossref","first-page":"971","DOI":"10.3150\/bj\/1165269147","volume":"12","author":"S. Cs\u00f6rg\u0151","year":"2006","unstructured":"S. Cs\u00f6rg\u0151 and G. Simons, Pooling strategies for St. Petersburg gamblers, Bernoulli, 12 (2006), 971\u20131002.","journal-title":"Bernoulli"},{"key":"7031_CR8","doi-asserted-by":"crossref","first-page":"2739","DOI":"10.1090\/S0002-9939-06-08296-7","volume":"134","author":"N. Etemadi","year":"2006","unstructured":"N. Etemadi, Convergence of weighted averages of random variables revisited, Proc. Amer. Math. Soc., 134 (2006), 2739\u20132744.","journal-title":"Proc. Amer. Math. Soc."},{"key":"7031_CR9","volume-title":"An introduction to probability theory and its applications, Volume II","author":"W. Feller","year":"1966","unstructured":"W. Feller, An introduction to probability theory and its applications, Volume II, Wiley, New York, 1966, 2nd edition: 1971.","edition":"2nd edition"},{"key":"7031_CR10","volume-title":"Limit distributions for sums of independent random variables","author":"B. V. Gnedenko","year":"1954","unstructured":"B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley, Cambridge, Massachusetts, 1954."},{"key":"7031_CR11","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1007\/BF00535481","volume":"4","author":"B. Jamison","year":"1965","unstructured":"B. Jamison, S. Orey and W. Pruitt, Convergence of weighted averages of independent random variables, Z. Wahrsch. Verw. Gebiete, 4 (1965), 40\u201344.","journal-title":"Z. Wahrsch. Verw. Gebiete"},{"key":"7031_CR12","doi-asserted-by":"crossref","first-page":"1473","DOI":"10.1214\/aop\/1176988609","volume":"22","author":"H. Kesten","year":"1994","unstructured":"H. Kesten and R. A. Maller, Infinite limits and infinite limit points of random walks, and trimmed sums, Ann. Probab., 22 (1994), 1473\u20131513.","journal-title":"Ann. Probab."},{"key":"7031_CR13","doi-asserted-by":"crossref","first-page":"1043","DOI":"10.1016\/j.spl.2006.08.027","volume":"77","author":"P. Kevei","year":"2007","unstructured":"P. Kevei, Generalized n-Paul paradox, Statist. Probab. Letters, 77 (2007), 1043\u20131049.","journal-title":"Statist. Probab. Letters"},{"key":"7031_CR14","first-page":"365","volume":"7","author":"A. Y. Khintchine","year":"1936","unstructured":"A. Y. Khintchine, Su una legge dei grandi numeri generalizzata, Giornale dell\u2019Istituto Italiano degli Attuari, 7 (1936), 365\u2013377.","journal-title":"Giornale dell\u2019Istituto Italiano degli Attuari"},{"key":"7031_CR15","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00668456","volume":"43","author":"R. A. Maller","year":"1978","unstructured":"R. A. Maller, Relative stability and the strong law of large numbers, Z. Wahrsch. Verw. Gebiete, 43 (1978), 141\u2013148.","journal-title":"Z. Wahrsch. Verw. Gebiete"},{"key":"7031_CR16","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1017\/S1446788700012635","volume":"28","author":"R. A. Maller","year":"1979","unstructured":"R. A. Maller, Relative stability, characteristic functions and stochastic compactness, J. Austral. Math. Soc. Ser. A, 28 (1979), 499\u2013509.","journal-title":"J. Austral. Math. Soc. Ser. A"},{"key":"7031_CR17","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1137\/1116067","volume":"16","author":"B. A. Rogozin","year":"1971","unstructured":"B. A. Rogozin, The distribution of the first ladder moment and height and fluctuation of a random walk, Theory Probab. Appl., 16 (1971), 575\u2013595.","journal-title":"Theory Probab. Appl."},{"key":"7031_CR18","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0079658","volume-title":"Regularly varying functions","author":"E. Seneta","year":"1976","unstructured":"E. Seneta, Regularly varying functions, Lecture Notes in Mathematics 508, Springer, Berlin, 1976."},{"key":"7031_CR19","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1214\/aop\/1176995767","volume":"5","author":"F. T. Wright","year":"1977","unstructured":"F. T. Wright, R. D. Platt and T. Robertson, A strong law for weighted averages of independent, identically distributed random variables with arbitrary heavy tails, Ann. Probab., 5 (1977), 586\u2013590.","journal-title":"Ann. Probab."}],"container-title":["Periodica Mathematica Hungarica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-008-7031-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10998-008-7031-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-008-7031-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T21:53:00Z","timestamp":1559339580000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10998-008-7031-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,9]]}},"alternative-id":["7031"],"URL":"https:\/\/doi.org\/10.1007\/s10998-008-7031-z","relation":{},"ISSN":["0031-5303","1588-2829"],"issn-type":[{"value":"0031-5303","type":"print"},{"value":"1588-2829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,9]]}}}