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51.
52.
阶乘幂多项式及其基本恒等式 总被引:1,自引:0,他引:1
孙建新 《绍兴文理学院学报》2004,24(7):34-37
考虑两类阶乘幂多项式,由向前或向后差分公式,得到两个同类阶乘幂多项式等价的充分必要条件.给出并证明了阶乘幂代数系统的两类基本恒等式,一类是阶乘幂的二项式定理;另一类是同阶阶乘幂之差的因式分解定理(乘方差定理). 相似文献
54.
The authors propose a block empirical likelihood procedure to accommodate the within‐group correlation in longitudinal partially linear regression models. This leads them to prove a nonparametric version of the Wilks theorem. In comparison with normal approximations, their method does not require a consistent estimator for the asymptotic covariance matrix, which makes it easier to conduct inference on the parametric component of the model. An application to a longitudinal study on fluctuations of progesterone level in a menstrual cycle is used to illustrate the procedure developed here. 相似文献
55.
Use of a suitable stopping rule yields exact uniformly most powerful tests and minimum variance unbiased estimators of various parameters of a Markov branching model with or without immigration. The population model discussed includes the pure birth, simple epidemic, immigration-death, M/M/ 1 queue, linear birth-death and a branching diffusion process, among others, as special cases. 相似文献
56.
Stein's method is used to prove the Lindeberg-Feller theorem and a generalization of the Berry-Esséen theorem. The arguments involve only manipulation of probability inequalities, and form an attractive alternative to the less direct Fourier-analytic methods which are traditionally employed. 相似文献
57.
Judah Rosenblatt D.L. Jackson W.P. Dole W.L. Thompson 《Journal of statistical planning and inference》1983,8(3):281-300
In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter. 相似文献
58.
Summary We idenify the invertible coherent functional relation between an array of asserted conditional probabilities and the probability
distribution for the sum of events that are regarded exchangeably, in the regular case thatP(N
N+1
|S
N
=a) ∈ (0, 1) for everya=0, 1, ...,N. The result is used to construct a useful algebraic and geometrical representation of all coherent inferences in the regular
case, including those that are nonlinear in the sum of the conditioning events. The special case in which conditional probabilities
mimic observed frequencies within (0, 1) receives an exact solution, which allows an easy interpretation of its surprising
consequences. Finally, we introduce a new direction in research on prior opinion assessment that this approach, inverse to
the usual one, suggests. 相似文献
59.
根据一般动力学系统在相空间的作用积分在无穷小群变换下的变换性质,分别建立起完整和非完整非保守系统的Noether定理和逆定理.由给出的例子表明,在相空间中可以呈现出动力学系统新的对称性. 相似文献
60.
应用万有D'Alembert微分变分原理研究了高阶非完整非保守力学系统的守恒定律 得到了高阶非完整非保守力学系统的广义Noether定理。 相似文献