Mathematics, School of: Recent submissions
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The development of statistical theory in Britain, 18651925: a historical and sociological perspective
(The University of Edinburgh, 1978)This thesis discusses the development of statistical theory in Britain in the period 1865 to 1925, and attempts to account for this development as an institutional and an intellectual phenomenon. Close connections are ... 
Analytical properties of certain probability distributions
(The University of Edinburgh, 1938)This research has been carried out on Dr Aitken's suggestion. The first chapter is largely a recapitulation of known results which I have learnt from Dr Aitken, here arranged for convenience of reference later in the thesis. 
Allied subsets of topological groups and linear spaces
(The University of Edinburgh, 1967)1, Basic theory, 4  2. Allied sets in linear spaces, 17  3. Cauchy nets and completeness, 29  4, Subgroups and subspaces. 39  5. Locally compact subsets of topological linear spaces. 46  6. ... 
On problems in the estimation of statistical parameters from samples grouped in broad categories
(The University of Edinburgh, 1952)When a number of individuals are observed in respect of some characteristic whose occurrence may be expressed in terms of a numerical variable, it often happens that what is recorded for each individ ual is not the ... 
Least square smoothing by linear combination
(The University of Edinburgh, 1934)The problem of fitting a polynomial to a set of observational data so that the sum of the squared residuals is a minimum has been frequently investigated. A.C. Aitken, in an appendix to his paper, "On the Graduation of ... 
A special prepared system for two quadratics in N variables
(The University of Edinburgh, 1930)A complete system of concomitants for two quadratics in n variables is a system of concomitants, in terms of which every rational integral concomitant of the two quadratics may be expressed rationally and integrally. ... 
The theory of relative coordinates in Riemannian Geometry
(The University of Edinburgh, 1933)The theory of relative coordinates w s first introduced by the author (1), but only a few of the results of Part 1 of this work were given. The theory was afterwards applied ton study of distance in relativity (2), the ... 
On multivariate sampling with and without replacement
(The University of Edinburgh, 1947)In the chapters I  VII we have succeeded in studying, the most important theoretical properties of probability distributions which arises in common sampling with and without replacement. For Univariate Hypergeometric ... 
The estimation of statistical coefficients from samples
(The University of Edinburgh, 1944)Statistics, it has been said, is the reduction of data. This definition fails, however, to bring out one of the most important and interesting aspects of modern statistical theory  the making of estimates. Let us consider ... 
On the theory of estimation of statistical parameters
(The University of Edinburgh, 1939)The problem of estimation has figured prominently in the mathematical theory of statistics during the last eighteen or twenty years, although, of course, it has been one of the central problems of statistics since its ... 
Kapteyn's theory of skew frequency, and orthogonal polynomials in one and two variables
(The University of Edinburgh, 1940)Chapter 1. SKEW FREQUENCY • Chapter 2. PROPERTIES OF ORTHOGONAL POLYNOMIALS RELATED TO THEIR GENERATING FUNCTIONS • Chanter 3. ORTHOGONAL POLYNOMIALS IN TWO VARIABLES 
Contributions to the theory of statistical estimation and other topics
(The University of Edinburgh, 1959)A • 1 On the Efficiency of the Method of Moments and Neyman's Type A Distribution. • 2 Maximum Likelihood and the Efficiency of the Method of Moments. • 3 Efficiency of the Method of Moments and the Gram Charlier Type ... 
Curvefitting according to the method of A. Ekke and R. Schmidt
(The University of Edinburgh, 1940)When fitting a curve to. a given set of data , it is usual , having chosen the curvetype which will best suit the data, to take as abscissae for the plotted points of the curve the observations themselves ,.. and then ... 
Matrices with nonnegative elements
(The University of Edinburgh, 1952)Chapter 1 is a short introductory chapter dealing with some definitions and basic properties of matrices and vectors. 
Contributions to the theory of groups
(The University of Edinburgh, 1975)A 1. The influence on a finite group of its proper abnormal structure. J. London Math. Soc. 40 (1965). 34861; MR30#4838. • B 2. Abnormal depth and hypereccentric length in finite soluble groups, Math. Z. 90 (1965). ... 
The basic theorems of analysis of variance with special reference to field experiments
(The University of Edinburgh, 1947)The statistical procedure of analysis of variance was invented by R.A. Fisher during his stay as statistician at Rothamsted Experimental Station. His first, more or less tentative, discussion of the theory was set forth ... 
Logarithmetics of non associative algebras
(The University of Edinburgh, 1951)Direct product of two algebras A₂ and Z', which have each a special entropic logarithmetic possesses the logarithmetic which is a special entropic logarithmetic, whose quasiintegers are characterised by four components. 
Fano threefolds and algebraic families of surfaces of Kodaira dimension zero
(The University of Edinburgh, 20101124)The thesis consists of four chapters. First chapter is introductory. In Chapter 2, we recall some basic facts from the singularity theory of algebraic varieties (see Section 2.2) and the theory of minimal models (see ... 
Inertiagravity wave generation: a WKB approach
(The University of Edinburgh, 20110628)The dynamics of the atmosphere and ocean are dominated by slowly evolving, largescale motions. However, fast, smallscale motions in the form of inertiagravity waves are ubiquitous. These waves are of great importance ...