{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T02:29:46Z","timestamp":1696472986557},"reference-count":23,"publisher":"Cambridge University Press (CUP)","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,12]]},"abstract":"<jats:p>We construct random fields with P\u00f3lya-type autocorrelation function and dampened P\u00f3lya cross-correlation function. The marginal distribution of the random fields may be taken as any infinitely divisible distribution with finite variance, and the random fields are fully characterized in terms of their joint characteristic function. This makes available a new class of non-Gaussian random fields with flexible correlation structure for use in modeling and estimation.<\/jats:p>","DOI":"10.1017\/s0021900200011967","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T14:51:14Z","timestamp":1459263074000},"page":"1037-1050","source":"Crossref","is-referenced-by-count":4,"title":["Random Fields with P\u00f3lya Correlation Structure"],"prefix":"10.1017","volume":"51","author":[{"given":"Richard","family":"Finlay","sequence":"first","affiliation":[]},{"given":"Eugene","family":"Seneta","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"S0021900200011967_ref8","doi-asserted-by":"publisher","DOI":"10.1111\/j.1751-5823.2011.00148.x"},{"key":"S0021900200011967_ref20","volume-title":"Stochastic Differential Equations: An Introduction with Applications","year":"2003"},{"key":"S0021900200011967_ref7","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1197908816"},{"key":"S0021900200011967_ref12","volume-title":"Characteristic Functions","year":"1960"},{"key":"S0021900200011967_ref6","volume-title":"An Introduction to Probability Theory and Its Applications","volume":"II.","year":"1966"},{"key":"S0021900200011967_ref11","first-page":"83","volume":"1923","year":"1923","journal-title":"Bull. Internat. Acad. Polon. Sci. Lett. Cl. Ser. Sci. Math. Nat. A"},{"key":"S0021900200011967_ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2012.08.016"},{"key":"S0021900200011967_ref10","volume-title":"Multiparameter Processes: An Introduction to Random Fields","year":"2002"},{"key":"S0021900200011967_ref4","volume-title":"Stationary and Related Stochastic Processes: Sample Function Properties and Their Applications","year":"1967"},{"key":"S0021900200011967_ref3","volume-title":"A Course in Probability Theory","year":"2001"},{"key":"S0021900200011967_ref2","doi-asserted-by":"publisher","DOI":"10.1029\/WR020i002p00251"},{"key":"S0021900200011967_ref1","volume-title":"Convergence of Probability Measures","year":"1968"},{"key":"S0021900200011967_ref23","volume":"I","year":"1968","journal-title":"Trigonometric Series"},{"key":"S0021900200011967_ref22","first-page":"41","volume":"12","year":"1913","journal-title":"Proc. London Math. Soc."},{"key":"S0021900200011967_ref21","first-page":"115","volume-title":"Proc. Berkeley Symp. Math. Statist. Prob. 1945, 1946","year":"1949"},{"key":"S0021900200011967_ref19","doi-asserted-by":"publisher","DOI":"10.1080\/14697688.2011.606822"},{"key":"S0021900200011967_ref18","doi-asserted-by":"publisher","DOI":"10.1142\/S0219024912500288"},{"key":"S0021900200011967_ref17","doi-asserted-by":"publisher","DOI":"10.1080\/07362994.2011.532039"},{"key":"S0021900200011967_ref16","doi-asserted-by":"publisher","DOI":"10.1142\/S0218348X11005312"},{"key":"S0021900200011967_ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2011.063011.100528"},{"key":"S0021900200011967_ref9","volume-title":"Introduction to the Theory of Random Processes","year":"1969"},{"key":"S0021900200011967_ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2112651"},{"key":"S0021900200011967_ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2008.03.043"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200011967","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T09:17:43Z","timestamp":1682500663000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200011967\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":23,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["S0021900200011967"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200011967","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}