Selected tables in mathematical statistics

著者

• Institute of Mathematical Statistics
• Sobel, Milton
• Frankowski, K.

書誌事項

Selected tables in mathematical statistics

edited by the Institute of Mathematical Statistics

American Mathematical Society, c1970-

• v. 1
• v. 2
• v. 3
• v. 4
• v. 5
• v. 6
• v. 7
• v. 8
• v. 9
• v. 10
• v. 11

タイトル別名

Dirichlet integrals of type 2 and their applications

注記

Vol. 9: Dirichlet integrals of type 2 and their applications by Milton Sobel and K. Frankowski

内容説明・目次

巻冊次

v. 1 ISBN 9780821819012

目次

Tables of the cumulative non-central chi-square distribution Tables of the exact sampling distribution of the two-sample Kolmogorov-Smirnov criterion $D_{mn}$ $(m\le n)$ Critical values and probability levels for the Wilcoxon rank sum test and the Wilcoxon signed rank test The null distribution of the first three product-moment statistics for exponential, half-gamma, and normal scores Tables to facilitate the use of orthogonal polynomials for two types of error structures.

巻冊次

v. 2 ISBN 9780821819029

目次

Probability integral of the doubly noncentral $t$-distribution with degrees of freedom $n$ and non-centrality parameters $\delta$ and $\lambda$ Doubly noncentral $F$ distribution--Tables and applications Tables of expected sample size for curtailed fixed sample size tests of a Bernoulli parameter Zonal polynomials of order $1$ through $12$.

巻冊次

v. 3 ISBN 9780821819036

目次

Tables of the two factor and three factor generalized incomplete modified Bessel distributions Sample size requirement: Single and double classification experiments Passage time distributions for Gaussian-Markov (Ornstein-Uhlenbeck) statistical processes Exact probability levels for the Kruskal-Wallis test Tables of confidence limits for linear functions of the normal mean and variance.

巻冊次

v. 5 ISBN 9780821819050

目次

Variances and covariances of the normal order statistics for sample sizes $2$ to $50$ Means, variances and covariances of the normal order statistics in the presence of an outlier Tables for obtaining optimal confidence intervals involving the chi-square distribution.

巻冊次

v. 8 ISBN 9780821819081

内容説明

This volume of mathematical tables has been prepared under the aegis of the Institute of Mathematical Statistics, which is a professional society for mathematically-oriented statisticians. The purpose of the Institute is to encourage the development, dissemination, and application of mathematical statistics. The Committee on Mathematical Tables of the Institute of Mathematical Statistics is responsible for preparing and editing this series of tables. The tables included in the present volume were checked at the University of Victoria. Dr. R. F. Odeh arranged for, and directed this checking with the assistance of Mr. Bruce Wilson.

目次

Expected sizes of a selected subset in paired comparison experiments Tables of admissible and optimal balanced treatment incomplete block (BTIB) designs for comparing treatments with a control Expected values and variances and covariances of order statistics for a family of symmetric distributions (student's $t$).

巻冊次

v. 9 ISBN 9780821819098

内容説明

This volume, edited by the Institute of Mathematical Statistics, deals with incomplete Dirichlet integrals of type 2 and is a companion book to Volume 4 of this series (by the same authors) which deals with incomplete Dirichlet integrals of type 1. As in the previous volume there are several new contributions present, some of which concern the development of new algorithms that made these tables possible, and there are many examples given to illustrate the use of the tables.Applications of these integrals are given to two types of problems: some that would be classified as being in the area of probability and some that are primarily statistical in nature. The probabilistic interpretation of the Dirichlet integral plays a major role in the direction taken and in the development of tables. An important area of application of these integrals is to ranking and selection problems dealing with the multinomial distribution, especially when the statistic of major interest is related to the minimum or maximum frequency among the cells and the stopping rule is of the type used in inverse sampling. In the tables most attention is to the homogeneous multinomial; however much of the analysis attempts to get away from homogeneity.

巻冊次

v. 10 ISBN 9780821819104

目次

The distribution of positive definite quadratic forms Confidence limits on the correlation coefficient.

巻冊次

v. 11 ISBN 9780821819111

内容説明

This volume presents tables dealing with the central multivariate student $t$ distribution in which there is a common variance estimate in the denominators of the variates and the numerators are equicorrelated. The tables contain one-sided and two-sided upper equicoordinate percentage points for this distribution. In addition, the volume provides tables based on the assumption that the variates have a certain block correlation structure. The entries have been computed to an accuracy of 5 decimal places.These tables, prepared under the aegis of the Institute for Mathematical Statistics, are considerably more comprehensive than previously published tables of this type. They have applications in many statistical settings, including selection among normal means using either the indifference-zone or the subset approach and in multiple comparisons involving contrasts among means. These and other applications are described in detail, and examples of the uses of the tables are given. In addition, the volume contains interpolation methods which extend the usefulness of the tables.

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詳細情報

• NII書誌ID(NCID): BA00850348
• ISBN:
  • 0821819011
  • 082181902X
  • 0821819038
  • 0821819046
  • 0821819054
  • 0821819062
  • 0821819070
  • 0821819089
  • 0821819097
  • 0821819100
  • 0821819119
• LCCN: 74006283
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: v.
• 大きさ: 26 cm
• 分類:
  • NDC8 : 417