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101.
王文胜 《浙江大学学报(理学版)》1999,26(1)
本文对id多指标随机变量序列{Xk;k∈Nd}(d≥2)的部分和Sn=∑k≤nXk及H(t)↑+∞,(t→+∞),提出并讨论了Порохоров的3个问题(d≥2),并讨论了多指标随机变量和的完全收敛性. 相似文献
102.
A sharp almost sure bound is derived for limit points of average sum of weakly dependent random variables, which ensures strong laws of large numbers for and -mixing random variables, without assumptions on rate of tending to zero of and -mixing parameters n and n. 相似文献
103.
H. M. Srivastava 《Proceedings of the American Mathematical Society》1999,127(2):385-396
For a natural number , the author derives several families of series representations for the Riemann Zeta function . Each of these series representing converges remarkably rapidly with its general term having the order estimate:
Relevant connections of the results presented here with many other known series representations for are also pointed out.
104.
Miodrag Zivkovic. 《Mathematics of Computation》1999,68(225):403-409
For a positive integer let and let . The number of primes of the form is finite, because if , then is divisible by . The heuristic argument is given by which there exists a prime such that for all large ; a computer check however shows that this prime has to be greater than . The conjecture that the numbers are squarefree is not true because .
105.
Ken Ono 《Compositio Mathematica》1999,119(1):1-11
Let D denote the fundamental discriminant of a real quadratic field, and let h(D) denote its associated class number. If p is prime, then the Cohen and Lenstra Heuristics give a probability that ph(D). If pgt;3 is prime, then subject to a mild condition, we show that
This condition holds for each 3<p<5000. 相似文献
106.
O. P. Singh A. P. Singh Ajai Kumar L. S. Yadav J. S. Yadav 《Journal of Chemical Sciences》1988,100(5):441-446
Giambiagi’s definition of oxidation number of an atom in a molecule has been applied successfully in theab initio SCF theory to calculate oxidation numbers using STO-3G and 4–31G basis sets for some substituted benzenes involving -F, -OH,
-CH3 and -NH2 as substituents. The present study suggests that the oxidation numbers also seem to be indicative of their orientational
behaviour like the net atomic charges. 相似文献
107.
David M. Mason 《Journal of multivariate analysis》1984,14(2):181-200
One and two sample rank statistics are shown in general to be more efficient in the Bahadur sense than their sequential rank statistic analogues as defined by Mason (1981, Ann. Statist.9 424–436) and Lombard (1981, South African Statist. J.15 129–152), even though the two families of statistics (those based on full ranks and those based on sequential ranks) have the same Pitman efficiency against local alternatives. In the process, general results on large deviation probabilities and laws of large numbers for statistics based on sequential ranks are obtained. 相似文献
108.
E. M. Kovyazina 《Mathematical Notes》1996,60(6):666-670
It is proved that a τ-adic relation characterizing a Butler group is piecewise rational.
Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 882–887, December, 1996. 相似文献
109.
110.
This paper is concerned with large- error estimates concerning convergence in distribution as well as norm convergence for Banach space-valued martingale difference sequences. Indeed, two general limit theorems equipped with rates of convergence for such difference sequences are established. Applications of these lead to the central limit theorem and the weak law of large numbers with rates for Banach space-valued martingales. 相似文献