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61.
ABSTRACTIn this paper, we start with establishing the existence of a minimal (maximal) Lp (1 < p ? 2) solution to a one-dimensional backward stochastic differential equation (BSDE), where the generator g satisfies a p-order weak monotonicity condition together with a general growth condition in y and a linear growth condition in z. Then, we propose and prove a comparison theorem of Lp (1 < p ? 2) solutions to one-dimensional BSDEs with q-order (1 ? q < p) weak monotonicity and uniform continuity generators. As a consequence, an existence and uniqueness result of Lp (1 < p ? 2) solutions is also given for BSDEs whose generator g is q-order (1 ? q < p) weakly monotonic with a general growth in y and uniformly continuous in z. 相似文献
62.
The object of this paper is to explain the role played by the catchability and sampling in the Bayesian estimation of k, the unknown number of classes in a multinomial population. It is shown that the posterior distribution of k increases as the capture probabilities of the classes become more unequal, and that the posterior distribution of k increases with the number of classes observed in the sample and decreases with the sample size. Moreover, it is shown that the posterior mean of k is consistent. 相似文献
63.
关于第一类切比雪夫型不等式的研究 总被引:1,自引:0,他引:1
首先定义了第一类切比雪夫型不等式,通过研究得到了第一类切比雪夫多项式的单调性及极值点的定理,从而又得到了第一类切比雪夫型不等式的解集这一定理. 相似文献