| 词条 | Moment closure |
| 释义 |
In probability theory, moment closure is an approximation method used to estimate moments of a stochastic process.[1] IntroductionTypically, differential equations describing the i-th moment will depend on the (i + 1)-st moment. To use moment closure, a level is chosen past which all cumulants are set to zero. This leaves a resulting closed system of equations which can be solved for the moments.[1] The approximation is particularly useful in models with a very large state space, such as stochastic population models.[1] HistoryThe moment closure approximation was first used by Goodman[2] and Whittle[3][4] who set all third and higher-order cumulants to be zero, approximating the population distribution with a normal distribution.[1] In 2006, Singh and Hespanha proposed a closure which approximates the population distribution as a log-normal distribution to describe biochemical reactions.[5] ApplicationsThe approximation has been used successfully to model the spread of the Africanized bee in the Americas[6] and nematode infection in ruminants.[7] References1. ^1 2 3 {{Cite journal | last1 = Gillespie | first1 = C. S. | title = Moment-closure approximations for mass-action models | doi = 10.1049/iet-syb:20070031 | journal = IET Systems Biology | volume = 3 | issue = 1 | pages = 52–58 | year = 2009 | pmid = 19154084| pmc = }} 2. ^{{Cite journal | last1 = Goodman | first1 = L. A. | authorlink = Leo Goodman| title = Population Growth of the Sexes | journal = Biometrics | volume = 9 | issue = 2 | pages = 212–225 | doi = 10.2307/3001852 | jstor = 3001852| year = 1953 | pmid = | pmc = }} 3. ^{{Cite journal | last1 = Whittle | first1 = P. | authorlink = Peter Whittle (mathematician)| title = On the Use of the Normal Approximation in the Treatment of Stochastic Processes | journal = Journal of the Royal Statistical Society | volume = 19 | issue = 2 | pages = 268–281 | doi = | jstor = 2983819| year = 1957 | pmid = | pmc = }} 4. ^{{Cite journal | last1 = Matis | first1 = T. | last2 = Guardiola | first2 = I. | doi = 10.3888/tmj.12-2 | title = Achieving Moment Closure through Cumulant Neglect | journal = The Mathematica Journal | volume = 12 | year = 2010 | pmid = | pmc = }} 5. ^{{Cite book | last1 = Singh | first1 = A. | last2 = Hespanha | first2 = J. P. | doi = 10.1109/CDC.2006.376994 | chapter = Lognormal Moment Closures for Biochemical Reactions | title = Proceedings of the 45th IEEE Conference on Decision and Control | pages = 2063 | year = 2006 | isbn = 978-1-4244-0171-0 | pmid = | pmc = | citeseerx = 10.1.1.130.2031 }} 6. ^{{Cite journal | last1 = Matis | first1 = J. H. | last2 = Kiffe | first2 = T. R. | title = On Approximating the Moments of the Equilibrium Distribution of a Stochastic Logistic Model | journal = Biometrics | volume = 52 | issue = 3 | pages = 980–991 | doi = 10.2307/2533059 | jstor = 2533059| year = 1996 | pmid = | pmc = }} 7. ^{{Cite journal | last1 = Marion | first1 = G. | last2 = Renshaw | first2 = E. | last3 = Gibson | first3 = G. | doi = 10.1093/imammb/15.2.97 | title = Stochastic effects in a model of nematode infection in ruminants | journal = Mathematical Medicine and Biology | volume = 15 | issue = 2 | pages = 97 | year = 1998 | pmid = | pmc = }} 1 : Stochastic processes |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。