{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T02:51:14Z","timestamp":1776739874529,"version":"3.51.2"},"reference-count":20,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[1969,11,1]],"date-time":"1969-11-01T00:00:00Z","timestamp":-5270400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[1969,11,1]],"date-time":"1969-11-01T00:00:00Z","timestamp":-5270400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[1969,11,1]],"date-time":"1969-11-01T00:00:00Z","timestamp":-5270400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[1969,11]]},"DOI":"10.1109\/tit.1969.1054387","type":"journal-article","created":{"date-parts":[[2004,4,27]],"date-time":"2004-04-27T14:27:04Z","timestamp":1083076024000},"page":"648-658","source":"Crossref","is-referenced-by-count":11,"title":["Characteristics of Gaussian random processes by representations in terms of independent random variables"],"prefix":"10.1109","volume":"15","author":[{"given":"P.","family":"Pierre","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/0117060"},{"key":"ref5b","year":"0"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/BF00533415"},{"key":"ref12","author":"davenport","year":"1958","journal-title":"Random Signals and Noise"},{"key":"ref13","author":"pierre","year":"1967","journal-title":"Properties of non-Gaussian continuous parameter random processes as used in detection theory"},{"key":"ref14","author":"doob","year":"1953","journal-title":"Stochastic Processes"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00533061"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1063\/1.3062237"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/0108020"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1967.1054029"},{"key":"ref4","first-page":"211","article-title":"Linear combinations of independent random variables and the normal distribution","volume":"2","author":"skitovich","year":"0","journal-title":"Selec Transl in Math Stat and Prob"},{"key":"ref3","author":"lo\ufffdve","year":"1963","journal-title":"Probability Theory"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1962.1057680"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1966.10482185"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02590638"},{"key":"ref1","article-title":"Characterization of the distribution of random variables in linear structrual relations","volume":"28","author":"rao","year":"1966","journal-title":"Sankhya"},{"key":"ref9","year":"1964","journal-title":"Notes on time series analysis"},{"key":"ref8a","author":"hannan","year":"0","journal-title":"Time Series Analysis"},{"key":"ref8b","year":"0"},{"key":"ref5a","author":"ramachandran","year":"1967","journal-title":"Advanced Theory of Characteristic Functions"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/22648\/01054387.pdf?arnumber=1054387","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T23:17:09Z","timestamp":1752103029000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/1054387\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1969,11]]},"references-count":20,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tit.1969.1054387","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[1969,11]]}}}