{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T05:11:54Z","timestamp":1774415514905,"version":"3.50.1"},"reference-count":25,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1999,11,1]],"date-time":"1999-11-01T00:00:00Z","timestamp":941414400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Signal Processing"],"published-print":{"date-parts":[[1999,11]]},"DOI":"10.1016\/s0165-1684(99)00082-1","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T00:56:40Z","timestamp":1027645000000},"page":"87-95","source":"Crossref","is-referenced-by-count":1,"title":["One-dimensional kinetic equations for non-Markovian processes and statistical analysis problems of systems driven by the asymmetrical binary Markovian process"],"prefix":"10.1016","volume":"79","author":[{"given":"Vladimir A","family":"Kazakov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0165-1684(99)00082-1_BIB1","unstructured":"A.A. Berdnikov, Driving of the telegraph signal on the dynamic first-order system, Izv. Vuzov. Radiofiz. XXIII (8) (1980) 998 (in Russian)."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0025-5564(83)90028-7","article-title":"Statistical properties of the asymmetrical random telegraph signal, with applications to single-channel analysis","volume":"64","author":"Fitzhugh","year":"1983","journal-title":"Math. Biosci."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB3","unstructured":"W. Horsthemke, R. Lefever, Noise-Induced Transitions, Springer, Berlin, 1984, Chapter 4, pp. 78\u201381."},{"issue":"11","key":"10.1016\/S0165-1684(99)00082-1_BIB4","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1007\/BF01034140","article-title":"Kinetic coefficients in the direct equations for non-differentiable processes with after-effect","volume":"29","author":"Kazakov","year":"1986","journal-title":"Radio-Phys. Quant. Electron."},{"issue":"11","key":"10.1016\/S0165-1684(99)00082-1_BIB5","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1007\/BF01057083","article-title":"Kinetic equations for the probability densities of non-Markovian processes. Evolution of moment and cumulant functions","volume":"30","author":"Kazakov","year":"1987","journal-title":"Radio-Phys. Quant. Electron."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB6","unstructured":"V.A. Kazakov, Driving of the binary Markovian process on the first-order systems, Izv. Vuz\u00f3v. Radiofiz. XXX (12) (1987) 1508\u20131513 (in Russian)."},{"issue":"7","key":"10.1016\/S0165-1684(99)00082-1_BIB7","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1007\/BF01060462","article-title":"Kinetic equations for non-Markovian processes with Pearson distributions","volume":"38","author":"Kazakov","year":"1995","journal-title":"Radio-Phys. and Quant. Electron."},{"issue":"2","key":"10.1016\/S0165-1684(99)00082-1_BIB8","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0165-1684(99)00006-7","article-title":"Statistical analysis of linear dynamic systems driven by the binary Markovian noise on the basis of the kinetic equations for non-Markovian stochastic processes","volume":"76","author":"Kazakov","year":"1999","journal-title":"Signal Processing"},{"key":"10.1016\/S0165-1684(99)00082-1_BIB9","unstructured":"V.A. Kazakov, M.I. Rozhkova, Driving of the binary Markovian process on the integrated RC circuit, Improvement of the Effectivity and Reliability of the Radioelectronics Systems, No. 7, Leningrad, Leningrad Electrotechnical Institute, 1977, pp. 78\u201382 (in Russian)."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB10","unstructured":"V.I. Kliatskin, Stochastic Equations and Waves in the Random Inhomogeneity Mediums, Nauka, Moscow, 1980, Chapter 3, pp. 122\u2013126 (in Russian)."},{"issue":"7","key":"10.1016\/S0165-1684(99)00082-1_BIB11","first-page":"70","article-title":"Non-linear transformation of the random telegraph signal","volume":"35","author":"Mironov","year":"1980","journal-title":"Telecommun. Radioeng."},{"issue":"1","key":"10.1016\/S0165-1684(99)00082-1_BIB12","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/TIT.1967.1053955","article-title":"Generalizations and extensions of the Fokker\u2013Plank\u2013Kolmogorov equation","volume":"IT-13","author":"Pawula","year":"1967","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"1","key":"10.1016\/S0165-1684(99)00082-1_BIB13","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1103\/PhysRev.162.186","article-title":"Approximation of the linear Boltzmann equation by the Fokker\u2013Plank equation","volume":"162","author":"Pawula","year":"1967","journal-title":"Phys. Rev."},{"issue":"1","key":"10.1016\/S0165-1684(99)00082-1_BIB14","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1080\/00207177008931818","article-title":"The transition probability density function of the low-pass filtered random telegraph signal","volume":"12","author":"Pawula","year":"1970","journal-title":"Internat. J. Control"},{"issue":"4","key":"10.1016\/S0165-1684(99)00082-1_BIB15","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1080\/00207177208932296","article-title":"Statistical geometry of the smoothed random telegraph signal","volume":"16","author":"Pawula","year":"1972","journal-title":"Internat. J. Control"},{"issue":"2","key":"10.1016\/S0165-1684(99)00082-1_BIB16","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1080\/00207177708922228","article-title":"The probability density function and level-crossing of first-order non-linear systems driven by the random telegraph signal","volume":"25","author":"Pawula","year":"1977","journal-title":"Internat. J. Control"},{"issue":"1","key":"10.1016\/S0165-1684(99)00082-1_BIB17","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1109\/TIT.1986.1057138","article-title":"On filtered binary process","volume":"IT-32","author":"Pawula","year":"1986","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"10","key":"10.1016\/S0165-1684(99)00082-1_BIB18","doi-asserted-by":"crossref","first-page":"4996","DOI":"10.1103\/PhysRevA.36.4996","article-title":"Approximating distributions from moments","volume":"36","author":"Pawula","year":"1987","journal-title":"Phys. Rev. A"},{"issue":"5","key":"10.1016\/S0165-1684(99)00082-1_BIB19","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1103\/PhysRevA.37.1731","article-title":"Level crossing of filtered dichotomous noise","volume":"37","author":"Pawula","year":"1988","journal-title":"Phys. Rev. A"},{"issue":"5","key":"10.1016\/S0165-1684(99)00082-1_BIB20","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1109\/TIT.1969.1054364","article-title":"Theoretical and experimental results for the distribution of a certain nonlinear functional of the Ornstein\u2013Uhlenbeck process","volume":"IT-15","author":"Pawula","year":"1969","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"5","key":"10.1016\/S0165-1684(99)00082-1_BIB21","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1080\/00207177508922028","article-title":"The zero crossing variance of the smoothed random telegraph signal","volume":"21","author":"Rickard","year":"1975","journal-title":"Internat. J. Control"},{"key":"10.1016\/S0165-1684(99)00082-1_BIB22","doi-asserted-by":"crossref","unstructured":"H. Risken, The Fokker\u2013Plank equation, 2nd Edition, Springer, Berlin, 1989, Chapter 4, pp. 70\u201371.","DOI":"10.1007\/978-3-642-61544-3"},{"key":"10.1016\/S0165-1684(99)00082-1_BIB23","unstructured":"V.I. Tikhonov, Noise influence on the phase locked-loop system, Avtomat. Telemekh. 20 (9) (1959) (in Russian)."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB24","unstructured":"V.I. Tikhonov, M.A. Mironov, Markovian Processes, Sovetskoe Radio, Moscow, 1977, Chapter 22, pp. 248\u2013264 (in Russian)."},{"key":"10.1016\/S0165-1684(99)00082-1_BIB25","unstructured":"A.D. Viterby, Principles of Coherent Communications, Mc Graw-Hill, New York, 1966, 322 pp."}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168499000821?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168499000821?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T09:22:02Z","timestamp":1555406522000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165168499000821"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,11]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,11]]}},"alternative-id":["S0165168499000821"],"URL":"https:\/\/doi.org\/10.1016\/s0165-1684(99)00082-1","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[1999,11]]}}}