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51.
It has been shown in this paper that a test proposed by Barlow and Doksum (1972) based on the exponential scores statistic for testing exponentiality against increasing failure rate distributions is consistent for the much wider class of harmonic new better than used in expectation distributions. 相似文献
52.
Donald Richards 《Statistics & probability letters》1983,1(3):141-145
Recent articles by Kushner and Meisner (1980) and Kushner, Lebow and Meisner (1981) have posed the problem of characterising the ‘EP’ functions f(S) for which Ef(S) for which E(f(S)) = λnf(Σ) for some λn ? , whenever the m × m matrix S has the Wishart distribution W(m, n, Σ). In this article we obtain integral representations for all nonnegative EP functions. It is also shown that any bounded EP function is harmonic, and that EP polynomials may be used to approximate the functions in certain Lp spaces. 相似文献
53.
G. Tinhofer 《Annals of Operations Research》1984,1(3):239-254
This paper deals with the expected cardinality of greedy matchings in random graphs. Different versions of the greedy heuristic for the cardinality matching problem are considered. Experimental data and some theoretical results are reported. 相似文献
54.
Let FX,Y(x,y) be a bivariate distribution function and Pn(x), Qm(y), n, m = 0, 1, 2,…, the orthonormal polynomials of the two marginal distributions FX(x) and FY(y), respectively. Some necessary conditions are derived for the co-efficients cn, n = 0, 1, 2,…, if the conditional expectation E[Pn(X) ∥ Y] = cnQn(Y) holds for n = 0, 1, 2,…. Several examples are given to show the application of these necessary conditions. 相似文献
55.
Pei-Kee Lin 《Journal of Mathematical Analysis and Applications》2005,312(1):138-147
Let (X,F,μ) be a complete probability space, B a sub-σ-algebra, and Φ the probabilistic conditional expectation operator determined by B. Let K be the Banach lattice {f∈L1(X,F,μ):‖Φ(|f|)‖∞<∞} with the norm ‖f‖=‖Φ(|f|)‖∞. We prove the following theorems:
- (1)
- The closed unit ball of K contains an extreme point if and only if there is a localizing set E for B such that supp(Φ(χE))=X.
- (2)
- Suppose that there is n∈N such that f?nΦ(f) for all positive f in L∞(X,F,μ). Then K has the uniformly λ-property and every element f in the complex K with is a convex combination of at most 2n extreme points in the closed unit ball of K.
56.
S.?CairesEmail author J.?A.?Ferreira 《Statistical Inference for Stochastic Processes》2005,8(2):151-184
We prove the strong consistency of estimators of the conditional distribution function and conditional expectation of a future
observation of a discrete time stochastic process given a fixed number of past observations. The results apply to conditionally
stationary processes (a class of processes including Markov and stationary processes) satisfying a strong mixing condition,
and they extend and bring together the work of several authors in the area of non-parametric estimation. One of our goals
is to provide further justification for the growing practical application of non-parametric estimators in non-stationary time
series and in other `non-i.i.d.' settings. Some arguments as to why such estimators should work very generally in practice,
often in a nearly `optimal' way, are given. Two numerical illustrations are included, one with simulated data and the other
with oceanographic data.
An erratum to this article is available at . 相似文献
57.
In this paper, we investigate the Schr\"{o}dinger equation, which satisfies that the potential is asymptotical 0 at infinity in some measure-theoretic and the nonlinearity is sublinear growth. By using variant symmetric mountain lemma, we obtain infinitely many solutions for the problem. Moreover, if the nonlinearity is locally sublinear defined for $|u|$ small, we can also get the same result. In which, we show that these solutions tend to zero in $L^{\infty}(\mathbb{R}^{N})$ by the Br\"{e}zis-Kato estimate. 相似文献
58.
利用概率论方法、测度变换方法、偏微分方程的变量代换法、Green函数法、Fourier变换法,给出了一个期望E(e-r(T-t)(ST-K)+|St=S)的几种求解方法. 相似文献
59.
60.