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Articles 451 - 466 of 466
Full-Text Articles in Mathematics
Minimax Theorems And Product Solutions., T. Parthasarathy Dr.
Minimax Theorems And Product Solutions., T. Parthasarathy Dr.
Doctoral Theses
It was John von-leumann who laid the foundationa of a miathematical theory of games of strategy . The climax of the pioneering period of de velopment oame in 1944 with the publication of The Theory of Gamea And Economic Behaviour by John von-Neumann and Oscar Morgenstern. Tha field of game theory ja now well established and widely diffused through the mathematical world- thanke to the auccese of thẻ volumes entitled Contributione to the theory of games and Advances in game theory . These volumes conprise a collection of contributions to the theory of games and answer some questions raised explicitly …
Extensions Of The Theory Of Positive Operators And Their Relationship To Minimax Games., T. E.S. Raghavan Dr.
Extensions Of The Theory Of Positive Operators And Their Relationship To Minimax Games., T. E.S. Raghavan Dr.
Doctoral Theses
The theory of positive matrices (matrioco with non- negative entries) nnd the the ory of positive operetors are used extensively in the study of vibrationa of mechanical eysteme l16], stochaatic proceuses (36] nd mathematical economics ((9] and L20].) It is well known from the claseical theoreme of Perron and Frobenius ((13), [14) and (25] that any non-eingul ar squere matrix with non-negative entries has a positive cigenvalue which ts maximal in modulus among al1 the eigenvalues of the matrix. Further for this positive eigenvalue, it has a non-null eigenvector with all components non-negative. If the matrix is also irroduc lble11) …
Solutions Of Some Balanced Doubly Balanced And Partially Balanced Statistical Designs., Chilakamarri Ramanujacharyulu Dr.
Solutions Of Some Balanced Doubly Balanced And Partially Balanced Statistical Designs., Chilakamarri Ramanujacharyulu Dr.
Doctoral Theses
The theory and methods of con struction of statistical designs have connections with Modern algebraic systems, theory of numbers, arithmetic theory of quadratic forms, information theory and construction of codes. The properties of finite linear spaces have been used for the construction of (i) complete set of mutually orthogonal latin squares (Bose and Nair, 1941) (ii) balanced incomplete block designs (Bose 1939) (iii) partially balanced incomplete block designs (Bose and Nair 1939) (iv) designs where some effects of treatments are confounded (Bose, 1947). Primrose (1951) studied quadric surfaces and used them in the construction of balanced incomplete block designs. Roychoudhuri …
External Graph Theoretic Problems With Applications To Communication Networks., Ramachandra Muthy Dr.
External Graph Theoretic Problems With Applications To Communication Networks., Ramachandra Muthy Dr.
Doctoral Theses
Graphs havre now become recognized models for a wide variety of situations. Whenever we have a collection of è´¸bjects with a binary relation defined on them graphs serve as excellopt toola to study the combinatoria properties of the collection with respect to the binary relation. D. Konig was the firat person to recognize the usefulness of graph theoretic modols. He conceived of a unified study of grapha under an abstract set up. His book was a pioneering work in this field.The graph theoretic problems embodied in this thesis have been motivated, by situations arising in communicationhave been motivated, by situations …
Some Statistical Studies On Languages., Nikhilesh Bhattacharya Dr.
Some Statistical Studies On Languages., Nikhilesh Bhattacharya Dr.
Doctoral Theses
The investigations reported in the present the is were started towards the end of 1957 and carried along internittently amidst teaching and professnional work on ample surveys and econometrics, Curiosity provided the major inpulse. The authors ambition was, initially, to throw up sone numerical tubles for Benguli, Sanskrit, Prakrit and Pali, such usüre found for many western languages in Herdans (1956) Language as Choice and Chance. Grudually, as the work progressed, the view changed and more analytical studies suggested themselves. Some of the se latter have been completed in arrovidional manner and re ported in the present thesis.Chapter 1 attempts …
Genetic Studies Of The Andhra Pradesh Population., Krishna Rao Dronamraju Dr.
Genetic Studies Of The Andhra Pradesh Population., Krishna Rao Dronamraju Dr.
Doctoral Theses
An understanding of the social structure and nating systene of a population 1s essential for genetie investigat lons. The inhabitanta of the coastal districts of Andhra Pradesh are of special intereat to a population genetieist because of the high rate of inbreeding that is practiced there. This population 1s specially suited for evaluating the genetic effects of inbreeding on the progeny of consanguineous parents. In most populations of the world the Inbreeding levels are much lover than in Andhra Pradesh and vhere they are slightly higher, as in some Japanese islande, the populat iona are cmprised of only a fev …
On The Recovery Of Linear Group Information In One And Two Way Designs., K. R. Shah Dr.
On The Recovery Of Linear Group Information In One And Two Way Designs., K. R. Shah Dr.
Doctoral Theses
This thesis is being submitted to the Indian Statistical Insti tute in support of the authors application for the degree of Doctor of Philosophy. The thesis embodies research oarried out by the author during the period 1960-1963 under the supervision of Dr. J. Roy, Professor of Statistics at the Indian Statistical Institute, Calcutta.Some aspects of recovery of inter-group information are exmined in this thesis, The main results are concermed with the variance of the combined inter and int r-block estimntors in incomplete block designs , recovery of inter-row and inter-column information in two-wy designs laid out in row9 and columns, …
Contributions To Stratified Sampling And Some Related Problems., V. K. Sethi Dr.
Contributions To Stratified Sampling And Some Related Problems., V. K. Sethi Dr.
Doctoral Theses
In this thesis I have presented some of my results on problems connected with stratified sampling. Most of the results have already been published in various journals or have been submitted for publication. The thesis includes some extension of the published results and a much greater amount of evidence to support some conjectures than could be accomodated in papers submitted to journals.A major portion of the thesis in contained in Part I. This part deals with the problem of optimum stratification and the use of simple rules to approximate optimum stratification. In this thesis attention has been confined to Normal …
Variation Of Human Stature In India., N. T. Mathew Dr.
Variation Of Human Stature In India., N. T. Mathew Dr.
Doctoral Theses
This is the first investigation on a large-sc le (1,47,066 measurements) of human stature in India based on deta from all pers of the country. Work done hitherto has been on much smaller serics which can in no way be considered representative of the country as a whole. In the present study certain inte- resting ond inportant results have been obtained which we shall now summarise. lany of the comparisons between meaningful groups involve smell differences which would require falrly large samples to establish with statistical signific- ance. This consideration will apply not only to stature but to other hody …
Stochastic Processes And Models In Textile Research., J. Sudarshan Rao Dr.
Stochastic Processes And Models In Textile Research., J. Sudarshan Rao Dr.
Doctoral Theses
This thesis is concerned with the application of the theory of stationary stochastic processes and of stochastic models to some important theoretical problems of textile technology. We shall study in this work these problems in detail using the theory of stationary stochastic processes and give a satisfactory explanation of the phenomenon of "drafting waves."
Convolution Properties Of Distributions On Topological Groups., S. R. S. Varadhan Dr.
Convolution Properties Of Distributions On Topological Groups., S. R. S. Varadhan Dr.
Doctoral Theses
The collection of probability distributions on the real line which is a semigroup under the convolution operation and topological space under weak convergence has attracted, during the last quarter of a century, the attention of such great mathematicians as Khintchine, Kolmogorov, Bawly, Levy and others. Their results constitute a deep analysis of the factorization problems on the one hand and the asymptotic behavior of infinite convolutions on the other. However, a complete and systematic investigation of these problems is not available in considerable generality. The aim of the present thesis is to investigate the topological and algebraic properties and the …
Distribution Theory Of Some Classification Statistics., S. John Dr.
Distribution Theory Of Some Classification Statistics., S. John Dr.
Doctoral Theses
This thesis eives the distri bution theory of four clae aifioation statistics. Sone parta of it were published a few years ago. The relevant publicationa are listed nt the end.What the author knows of related work by other authors is set out in the Introductions little material of this nature is given elsewhere in the theats. If a result is not explicitly credited to another author, it may be taken to nean that the author believes it to be hia worik.It will be noticed that three (U, R and 2) of the four statistics receive less a pace than the …
Some Problems Of Ergodic Theory And Information Theory., K. R. Parthasarathy Dr.
Some Problems Of Ergodic Theory And Information Theory., K. R. Parthasarathy Dr.
Doctoral Theses
The subject of ergodic theory which is the mathematical outgrowth of the gas problem in statistical machines and the subject of information theory which in the mathematical outgrowth of the problem of information transmission through communication channels have many interesting dual features. In ergodic theory we study collectively and individually the measure preserving transformations of a first measure space, where as in information theory we do the same with the set of all measured in variant under a fixed measurable transformation of a measurable space. The object of this thesis it to study some of the dual relations between the …
Some Problems Of Estimation In Sampling From Finite Populations., M. Murthy Dr.
Some Problems Of Estimation In Sampling From Finite Populations., M. Murthy Dr.
Doctoral Theses
In this thesis the results of the research work done by the author in the field of sample surveys are presented. Scheme problems of estimation in sampling from finite populations were taken up for reset arch. A brief summary of this thesis is given below.In chapter 1, the author has developed a generalized theory of getting unbiased estimator for a certain class of parameters in sampling from finite population. The class of parameters considered are those which can be expressed as the sum of single-valued set functions defined over a class of sets of units belonging to a finite population. …
Some Contributions To The Theory Of Sampling., Pramod Kumar Pathak Dr.
Some Contributions To The Theory Of Sampling., Pramod Kumar Pathak Dr.
Doctoral Theses
The work Presented here had originated from a pioneering paper by Basu1 and is essentially an extension of his ideas to different problem in sample surveys. The whole word mainly consists in deriving estimators uniformly better than those usually adopted in with replacement schemes.in with replacement sampling schemes, the 'order-statistic' (distinct sample unite arranged in an ascending order of their unit-indices) forms a sufficient statistic. Therefore, if any estimator (e.g., say of the population man) does not depend on the 'order-statistic', it can be uniformly improved by the use of the Rao-blalckwell theorem. The author has not hesitated to use …
Some Results Concerning Asymptotic Distributions And Their Applications., J. Sethuraman Dr.
Some Results Concerning Asymptotic Distributions And Their Applications., J. Sethuraman Dr.
Doctoral Theses
This thesis is being submitted to the Indian statistical Institute in support of the author's application for the degree of doctor of philosophy. The thesis embodies research carried out by the author during the period 1958-1961 under the supervision of dr.R.R. Bahadur, Professor of statistics are the Indian Statistical Institute Calcutta.This thesis is concerned with development of a new method of establishing asymptotic distributions and the elaboration of some of its applications in several fields of statistics.The thesis consists of five chapters. Chapter I describes, in general terms, the various problems considered in the thesis. Chapter II Deals with the …