-
作者：KENDALL, MG
摘要：The variance of [tau] is obtained for the most general case where both rankings may contain ties. By simple specializations, results previously given by Sillitto (Biometrika, 1947) and surmised by Whitfield (Biometrika, 1947) are explicitly obtained.
-
作者：GARWOOD, F
摘要：The general problem in the mathematical study of bombing consists of estimating the overall effect on a given objective. The problem is further restricted to calculation of the mean and variance of the portion of the objective area covered by destruction areas dropped in random fashion on a section of a plane including the objective area in its interior. For the areas considered (rectangles and circles), calculation of the mean presents no great difficulty. Methods, due to H. E. Robbins and to...
-
作者：LORD, E
摘要：The t-test compares the deviation of a sample mean from the assumed population value with a root-mean-square estimate of the standard error of that difference in samples from a normal population. For routine testing of exptl. data of various types, particularly data for control of quality of manufactured products, it is desirable to have a test of this nature which requires less computation. The ratio of the observed range to the known mean range in samples from a normal population with unit s...
-
作者：ARMITAGE, P
摘要：Wilks has shown for infinite populations that optimum stratified sampling is more efficient (in general) than proportional sampling, which is more efficient than unrestricted random sampling. It is shown that these inequalities may be reversed in sampling from finite populations when the mean values in the strata are nearly equal, and when the population is small or the variances in the strata nearly equal.
-
作者：GEARY, RC
摘要：A general integral relation is established between the frequency functions of [square root]b1 or a3, in samples of size n and (n[long dash]1) from a normal population. Using the known distribution for samples of size 3 given by Fisher and iterative methods, it is possible to obtain solutions to any desired degree of precision for the frequency functions for samples of 4, 5, 6, 7 and 8. At n = 8, it is shown that the frequency distribution is closely approximated by the Gram-Charlier series wit...
-
作者：VAJDA, S
摘要：A population subject to mortality dependent on age and which is supplied with entrants each year so as to keep the total population constant tends, in general, to a limiting age distribution, the intrinsic stationary population. If, in addition, the population is stratified and members of each stratum subject each year to promotion to the next higher stratum on the basis of age or of seniority in grade, a semi-stationary population results when the totals of each stratum can be held constant w...
-
作者：GEARY, RC; WORLLEDGE, JPG
摘要：A computational scheme is given for moments of samples from normal universes. The algebraic methods of C. C. Craig, rather than the combinatorial techniques of R. A. Fisher, are used. Economy of expression is achieved through the extensive use of primals and systematic methods of calculation involving these quantities are developed. A set of checks, partial or complete, is given for every stage of the computational schema.
-
作者：ELFVING, G
摘要：The distribution function of a simple transformation of the range of a sample from a normal population is expressible, in the limit, in terms of the first order Bessel function. An upper limit for differences between the distribution functions for finite samples and the limiting case is given.
