Annals of Mathematical Statistics最新文献_第10页

Bivariate Tests for Location and Their Bahadur Efficiencies 位置及其Bahadur效率的二元检验

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692383

T. Killeen, T. Hettmansperger

引用次数: 9

Non-Optimality of Preliminary-Test Estimators for the Mean of a Multivariate Normal Distribution 多元正态分布均值初步检验估计量的非最优性

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692380

S. Sclove, C. Morris, R. Radhakrishnan

引用次数: 172

A Representation of Independent Increment Processes without Gaussian Components 无高斯分量的独立增量过程的表示

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692395

T. Ferguson, M. Klass

引用次数: 259

Some Properties of Bayesian Orderings of Experiments 实验贝叶斯排序的一些性质

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692375

D. Feldman

引用次数: 6

Some Families of Designs for Multistage Experiments: Mutually Balanced Youden Designs when the Number of Treatments is Prime Power or Twin Primes. I 多阶段实验设计的若干族:处理数为质因数或双质因数时的相互平衡约登设计。我

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692384

A. Hedayat, E. Seiden, W. Federer

{"title":"Some Families of Designs for Multistage Experiments: Mutually Balanced Youden Designs when the Number of Treatments is Prime Power or Twin Primes. I","authors":"A. Hedayat, E. Seiden, W. Federer","doi":"10.1214/AOMS/1177692384","DOIUrl":"https://doi.org/10.1214/AOMS/1177692384","url":null,"abstract":"The concepts of balance for ordered and for unordered pairs of treatments are introduced. Methods for constructing multistage experimental designs which are Youden designs at each stage, are given. In the construction of these designs an attempt was made to accommodate as much orthogonality and balance (both in our sense and in the classical sense) as is possible. These constructions are presented in several theorems. In one theorem, we give a uniform method of converting $t$ mutually orthogonal Latin squares of order $n$ into a $t$-stage balanced $(n - 1) times n$ Youden designs. Since the known methods of constructing orthogonal Latin squares of order $n = 4t + 2$, for $t > 1$, are not uniform, a uniform method for constructing two-stage $(n - 1) times n$ Youden designs for all even $n$ has been developed. In another theorem, a method of constructing $(2lambda + 1)$-stage balanced $(2lambda + 1) times (4lambda + 3)$ Youden designs, for $4lambda + 3$ a prime power, is presented. A method of constructing $(p^alpha - 1)$-stage balanced $(nu - 1)/2 times nu$ Youden designs is given in another theorem for the case when $v = 4lambda + 3$ and is the product of twin primes, i.e., $nu = p^alpha q^beta, q^beta = p^alpha + 2$. Difference sets based on the elements of Galois fields were utilized for these constructions. Other miscellaneous results are given.","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91116670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 13

Sharp Bounds for the Total Variance of Uniformly Bounded Semimartingales 一致有界半鞅总方差的锐界

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692388

L. Dubins

引用次数: 3

Convergence in Distribution of Random Measures 随机测度分布的收敛性

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692410

Miloslav Jiřina

引用次数: 2

On Limiting Distributions of a Random Number of Dependent Random Variables 一组随机相依变量的极限分布

Annals of Mathematical Statistics Pub Date : 1972-10-01 DOI: 10.1214/AOMS/1177692409

D. L. Thomas

引用次数: 12

The Structure of the Optimal Stopping Rule in the $S_n/n$ Problem $S_n/n$问题中最优停止规则的结构

Annals of Mathematical Statistics Pub Date : 1972-08-01 DOI: 10.1214/AOMS/1177692464

M. Thompson, W. L. Owen

引用次数: 6

Maximum and High Level Excursion of a Gaussian Process with Stationary Increments 具有平稳增量的高斯过程的最大值和高电平偏移

Annals of Mathematical Statistics Pub Date : 1972-08-01 DOI: 10.1214/AOMS/1177692476

S. Berman

引用次数: 10