Fitting continuous probability density functions over [0,<tex>infty</tex>) using information theory ideas (Corresp.)

作者: A. Wragg , D. Dowson

DOI: 10.1109/TIT.1970.1054417

关键词:

摘要: The problem of estimating a probability density function p(x) over [0, \infty) when several low-order moments are known is considered. A computational procedure, based on information theory, used to obtain the maximum entropy estimates in number cases. situation first two only considered some detail. table included for given \mu_1 ^{\prime} , \mu_2 with \leq 2(\mu_1 ^{\prime}) ^ 2 .

参考文章(2)
M. R. Sampford, Some Inequalities on Mill's Ratio and Related Functions Annals of Mathematical Statistics. ,vol. 24, pp. 130- 132 ,(1953) , 10.1214/AOMS/1177729093
E. T. Jaynes, Information Theory and Statistical Mechanics Physical Review. ,vol. 106, pp. 620- 630 ,(1957) , 10.1103/PHYSREV.106.620