当方差未知时选取有最大均值总体的两阶段抽样方案

考虑ｋ个有连续分布Ｆｉ＝Ｆ（ｘ－μｉ／σ）的总体，ｉ＝１，．．．，ｋ。其中μｉ和σ均未知，我们通过两阶段抽取样本以得到最大均值的那个总体，第一步根据抽样删去一部分看来不可能的总体，第二步再从余下总体中抽样，取含样本均值最大的那个总体为所需总体，我们用渐过分布方法得到了在所定规则下能选到正确总体的概率下界。特别对Ｌｏｇｉｓｔｉｃ总体计算了有关数值以及关于一次抽样的相对效。     

多总体球性检验的似然比准则的非零渐近分布

多总体球性检验的似然比准则的非零渐近分布龚力强（华南建设学院西院广州５１０４０５）关键词：多总体球性；似然比检验；渐近分布ＡＭＳ（１９９１）主日分类：６２Ｅ２０．设ｘ。１，ｘ。。，…，ｘ；《１＝１，２，…，ｚ；Ｎ；＞户）为从卢维正态总体Ｎｐ（８，工）...     

等距抽样总体指标估计值的优良判定

等距抽样是实践中常用的一种抽样方法，它是事先将全区及总体各单位按某一标志排列，然后依固定顺序和间隔来抽选调查单位，以样本来推断总体．在实践中常用“随机确定起点，对称等距抽样”、“半距起点，顺序等距抽样”的方法．近几年，学术界对样本指标的推断研究的较多，但对这一抽样方法总体指标的估计却很少问究，致使实践中的估计方法较单一，抽样效果难以提高。本文想就标志等距抽样总体指标值的估计进行分析．为实际中的抽样技术提供理论上的数学依据。     

估计总体方差时样本容量的选取

通过样本方差对总体方差估计时产生的误差分析，得出估计总体方差时样本容量的选取方法。     

数对检验与绝对关联度

数对检验与绝对关联度门艳春，吴文祥，贾敬（黑龙江矿业学院，鸡西１５８１０５）在数理统计中，检验两个总体均值是否相等，在两个总体都服从正态分布时，有三种情形。第一种是两个总体的方差都已知，用正态分布检验。第二种是两个总体的方差未知，但容量都很大，也用正...     

两个正态总体方差检验问题的讨论

两个正态总体方差检验问题的讨论单鉴华（浙江农业大学，杭州３１０Ｄ２９）两个正态总体方差的比较均采用Ｆ检验法。若给不同的统计假设，在相同的显著性水平ａ下，将会得出不同的拒绝域。有的统计教材很清了几种不同的假设检验，从而有时就白错误的判断。、——；设总体...     

非光滑总体优化的区间算法[英文]

本文利用区间工具及目标函数的特殊导数，给出一个非光滑总体优化的区间算法，该算法提供了目标函数总体极小值及总体极小点的取值界限（在给定的精度范围内）。我们也将算法推广到并行计算中。数值实验表明本文方法是可靠和有效的。     

正态总体均值已知情况下方差的统计推断问题

数理统计的任务之一是利用样本提供的信息对总体作出统计推断，但在知道总体的有关信息时就应充分利用．本文讨论了正态总体均值μ已知的情况下方差σ～２的统计推断问题．     

具有部分缺失数据时两个Poisson总体的估计和检验

讨论了部分缺失数据两个Poisson总体的参数估计和关于总体相同的似然比检验，证明了估计的强相合性和渐近正态性，指出了似然比检验计量的极限分布，并讨论了基于精确分布的检验问题。     

多阶等距抽样下总体总值估计量的方差估计

本文给出了多阶抽样下构造总体总值估计量的方差估计量的一种方法．由此，可以得到多阶等距抽样下总体总值估计量的方差估计．     

Characterization of types of asymptotic discernibility of families of hypotheses

We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987.     

Study of the blow-up of solutions of systems of equations of hydrodynamic type

Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from...     

Singularities of Solutions of One Class of Equations of Continuum Mechanics

We analyze one class of families of integral equations and describe the dependence of the singularities of solutions of integral equations on the dimensions of the families of kernels of equations. On the basis of these results, we propose procedures for the construction of approximate solutions for a small parameter.     

Determination of asymptotic solutions of problems of nonlinear theories of thermoviscoelasticity

It is shown that the asymptotic solution of a problem of the nonlinear theory of thermoviscoelasticity, if it exists, can be found directly from the solution of the asymptotic boundary-value problem without completely solving the starting problem.M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 3, pp. 395–400, May–June, 1976.     

Emptiness of set of points of lower semicontinuity of Lyapunov exponents

We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter.     

图表示范畴的两个子范畴

引进图表示范畴的两个子范畴,研究它们的同调性质。     

Distribution of types of symmetry of tensors of high degree

The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986.     

Properties of operators of extension and contraction of ideals of algebras of invariants of reductive groups in positive characteristic

V. I. Lenin Tashkent State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 4, pp. 53–61, October–December, 1991.