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Full-Text Articles in Mathematics

Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr. Jun 1989

Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.

Doctoral Theses

A mathematical theory of Games of Strategy was born in several stages between 1928 and 1941. John von Neumann is known as its father. The culmination of the pioneering work of von Neumann and Morgenstern was the publication of the Theory of Games and Economic Behavior (Ref.28] in 1944. Ik is snid of the book . posterity may regard this book as one of the major scientifie achievements of the first half of the twentieth century. Emphasizing a new approach to competetive behaviour through a mathematical reduction to suitable games of strategy, this giant work laid bare a host of …


Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr. Mar 1989

Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.

Doctoral Theses

This thesis deals primarily with the application of the calculus for factorial ar- rangements (Kurkjian and Zelen (1962, 1963)) to various designs. The thesis has been divided into six chapters. We have made extensive use of Kronecker products and various other results from matrix theory. The results in the first two chapters involve the use of projection operators.In the first four chapters, different classes of factorial experiments have been studied by applying the calculus. Chapter 5 deals with another class of designs called repeated measurements designs (RMD's). It has been shown that the calculus for factorial arrangements serves as a …


Connections On Small Vertex Model., R. Srinivasan Dr. Feb 1989

Connections On Small Vertex Model., R. Srinivasan Dr.

Doctoral Theses

This thesis is devoted to the classification of a special class of commuting squares called vertex models.The first chapter is indroductory in nature and is included for the sake of completeness and convenience of reference. It starts with the description of the basic construction and the invariants called the principal and dual graph for an inclusion of II1, factors. After defining a commuting square we describe the special class of commuting squares called vertex model given by an Mn, O Mk, biunitary matrix . Finally we state some results, without proof, about vertex nodels from (KSC).The second chapter in the …


On Consisten Estimation Of Classes In R2 In The Context Of Cluster Analysis., C. A. Murthy Dr. Feb 1989

On Consisten Estimation Of Classes In R2 In The Context Of Cluster Analysis., C. A. Murthy Dr.

Doctoral Theses

Brief reviow of oluater analysis. The literature on oluater analy ste is baaically orianted touerda the development of algori thme 1,2,3, 4, 5]. Andaxberg [1] gives the verloue stepo in aluster analy al a starting from the chai ce of data pointa to interpreting the results. Harti gan 5] desoribes veari oun cluatering algo- ri thms in hin book. He also states the ueos of tho ae methoda in vari oue fielde. Jardines end Sibaon [6] dovelopa meaoures of di ssimilarity and regerde a alustor mothod as a funotion from di andmilori tymatrlces to trees. Clustering tochniquos can ba broadly …


An Analysis Of Spatial Patterns And Growth Of Indian Agricultural Activities., Rabindranath Mukhopadhyay Dr. Feb 1989

An Analysis Of Spatial Patterns And Growth Of Indian Agricultural Activities., Rabindranath Mukhopadhyay Dr.

Doctoral Theses

The main objective of this dissertation has been an empirical identification and evaluation of the regional variations in the pattern and growth of agricultural activities in India during the period 1960-61 to 1980-81, with appropriate use of some of the advanced quantitative methods and statistical tools developed recently in the field of Regional Insolent and Planning. During the period under consideration, the over all national agricultural presumptions have greatly been improved, eliminating India;s dependence on food grain imports, through certain intense-fiction measures initiated at the beginning of the period. But the pursuance of overall growth efforts has not been interwoven …


Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr. Feb 1989

Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.

Doctoral Theses

The introduction of the concept of onymptotie efficiency of statistical eatimators in connection with proposing and developing she method of maximu, 1ikelihood by . Fislior (Fisher (1922, 1929)) 1s really the atar ting point of the asymptotie theory of es timation. -istorieally, however, Laplace (1774) and Gausa (1009) had made tuo irferent studieo oarlier then Fisher bo ti connected d th as ymp to tie theory of estination. Fisher considered only consistent a symptotically rewnal untinotoro and meured the asyaptotie performance of an anti- mator by ite aayep totle variaree. Thus, a coreistent aeynp to tieally nomal eetimoator with let …


Some Contributions To Directional Statistics: Characterixation And Asymptotics., Sumitra Purkayastha Dr. Feb 1989

Some Contributions To Directional Statistics: Characterixation And Asymptotics., Sumitra Purkayastha Dr.

Doctoral Theses

In many natural and physical sciences the obser- vations are in the form of directions in 2- or 3-dimensional Euclidean space or rotations of such a space. In the former case, it is tustomary to represent the observations by points on the unit ball in R2 or R3, or more.generally, Rp. In the latter case, the observations are represented by orthogonal matrices having determinant +1, or more generally, by nxp (ngp) matrices A satisfying AAt=In,i.e., by elements of Stiefel manifold. Examples .of observations on directions in 2-dimensional space include those on wind direction or on flight direction of birds, Similarly, …


Public Policy And The Dynamics Of Development: A Macroeconomic Theory For Developing Economics., B. K. Pradhan Dr. Aug 1988

Public Policy And The Dynamics Of Development: A Macroeconomic Theory For Developing Economics., B. K. Pradhan Dr.

Doctoral Theses

If I am given the cholce to define Development Economi ea, I would do so in such a way that the work reported here aust eni nent ly belong to the realm of that discipline. Before proceeding further one must remenber what Hirschman said nearly 28 yeara ago ...probably that econonists have not been able to construct, much less agree on, a alngle and unbroken chain of causes and effects that would neatly explain the transition from While this f ailure is of course only to the credit of economists, it cannot be denied that Underdevelopment to development. In comparison …


On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr. Aug 1988

On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr.

Doctoral Theses

The area of sequential testing of statistical hypothesss is an important part of sequential analysis. The idea of a sequential test goes back to Dodge and Romig (1929) who cons tructed a double sampling procedure for sampling inspection. They wers motivated by the obser- vation that the double sampling plan requires a smaller number of observations on the average when compared uith the corresponding single sampling plan, Later schemes like multiple sampling vide Wlalter Bartky (1943) and interesting practical application of large scale experimente in successive stages vide Mahalanobis (1940) started comni ng up.The formal theory in sequential analysis began …


Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr. Aug 1988

Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr.

Doctoral Theses

The works in this dissertation are primarily baset ur. difterent concepts of majorization and the results thereof. True first part of this dissertation is a study on dirfferent concepts of uni variate and multivariate majorization. The latter part of this dissertation includes studies on some problems in Sample Survey, and problems relating to ranking and selection with the use of some results, old and new, in majorization.The concept of univariate majorization has been consi- dered by economists in relation to Lorenz ourve, as well as by mathematicians and statisticians, especially in the field of reliability. It appears that the results …


General Equilbrium Analysis Of Price And Distribution Controls For Foodgrains And Textiles In India., P. V. Srinivasan Dr. Jul 1988

General Equilbrium Analysis Of Price And Distribution Controls For Foodgrains And Textiles In India., P. V. Srinivasan Dr.

Doctoral Theses

Unlike in many developed countries, in India, institutions for distribution of goods and services are not well developed. Hence policy makers are concerned with the development of economic institutions to promote growth, remove unemployment and eradicate poverty. In addition to the general fiscal and monetary policy instruments such as taxes, su bsidies, bank rate, open market operations etc, the government also uses several price and non-price controls. For example, it administers the prices of essential inputs such as steel, coal, power ete, and distributes certain essential commodities through ration s hops at a price lower than the market prices.One way …


Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr. Feb 1988

Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr.

Doctoral Theses

This thesis ie concerned chiefly with oertain families of smooth ... mappinga from domains in IRn to IRn which arise as natural generali- setione of complex anelytio mappinge. Thess Fueter families heve important hypercomplex aubfamilies defined via convergent Laurent series in one queternionio or actonionio veriable (with central coeffi- ofents). The various families and subfamdlies are olosed under compositior and inversion (when defined) of, meppinge consequently they form pseudo- groups on which one can model manifolds. The geometry of manifolde which oerry such ;Fueter or hypercomplex structure turna out to be qui ta %3D rich. In particular, they heve oanonioal …


On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr. Feb 1988

On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr.

Doctoral Theses

The first tank can involve one or more subtasks. For instance, it may require the design of a classifier on the basis of whatever prior knowledge there is of the feature space, or given the design, to estimate efficiently the parameters of the classifier. The latter might involve the estimation of the density function itself if very little is known about the class-conditional fenture distribution, or it may necessitate the entimation of the parameters of the fenture distribution, if one can assume it to have some known form. It may also involve estimating the boundaries of the classes, if even …


Economics Of Recardo: A Re-Warking., Periaswamy Gajapathi Dr. Feb 1988

Economics Of Recardo: A Re-Warking., Periaswamy Gajapathi Dr.

Doctoral Theses

No abstract provided.


Dual Pricing: Theory And Applications., Shikha Jha Dr. Dec 1987

Dual Pricing: Theory And Applications., Shikha Jha Dr.

Doctoral Theses

Even after thirty five yaara of planned economic develogment a large fraction of people in India cannot afford to have the basic necessities Like food, clothing and shelter. To quote from the Econonic Survey [1984-85), Buoyant agricultural parformance thus far has dependad mainly upon production gains in wheat and rice. Performance with raspect to other critical crops, such as pulser and oilseeds, and dryland farning generally, remains veak. The rate of growth of industry, although somewhat higher than in the ten years preceding the sixth Plan, remains low... population continues to grow at about 2 percent per year. At this …


A Quantitative Analysis Of Poverty, Inequality And Consumer Behaviour: The Case Of The Schedule Casts And Tribes Of Karnataka., Shailaja Raghuprasad Dr. Jul 1987

A Quantitative Analysis Of Poverty, Inequality And Consumer Behaviour: The Case Of The Schedule Casts And Tribes Of Karnataka., Shailaja Raghuprasad Dr.

Doctoral Theses

The concept of growth with social justice is basic to the philosophy of development underlying Indian economic Planning. This philosophy is reflected in our former Prime Minister Mrs Indira Gandhi's foreword to the sixth Plan (1980-85) document where she wrote, Economic Growth must be balanced, it must ensure self - reliance, stability and social justice. All sections should be assured that there will be no discrimination'.It is with those weaker sections - rather a segment of them that this study is concerned, Our study is an attempt to look closely at the levels of living and the consumer behaviour of …


Asymptotic Study Of Estimators In Some Discrete And Continuous Time Model., Arup Bose Dr. May 1987

Asymptotic Study Of Estimators In Some Discrete And Continuous Time Model., Arup Bose Dr.

Doctoral Theses

This thesis deals with an asymptotic study of estimatore in some discrete time and continuOus time models.The firet part deele with time eeriee date modelled by moving sverage and eutoregreseive proceseee. Higher order as ymptotioe beyond. as ymptotio normality, of the usual astimatore heve been dealt by Phillipe (1977,1978), Durbin (198o), Oohi (1983), Tanaka (1983), Fujikoshi and Ochi (1984). o(n-1/2) or o(n-1) expenaions ara 'obteined by these authore under the assumption of normality of orrors. The reason for this wes the lack of suitable. expaneions for normalized sums of dependent random vectora. Recently Gotza and Hipp (1983) heve been able …


An Essay On The Formation And Dynamics Of The Marketed Surplus And Price Of Foodgrains., Vathsala Narasimhan Dr. Feb 1987

An Essay On The Formation And Dynamics Of The Marketed Surplus And Price Of Foodgrains., Vathsala Narasimhan Dr.

Doctoral Theses

The the sde is baadcally a methodological exploration of the field we have Celled the ti end d eted and price of foodgrains. The object ie basically to develop a framework of thought, developing alongaide the toola, concepte and methods necessary for the purpose. In doing this we keep entirely to the baaic structure of the field as ve see it, which is defined in reference to a few bare elenentary facts pertaining to our general context of reference the rest is simply abstracted from. Our whole approach 1a thus 8crictiy anRALA mothodology is oxplored within boundaries that we ourselves …


Estimation Of Demographic Parameters For India., S. Guha Roy Dr. Feb 1987

Estimation Of Demographic Parameters For India., S. Guha Roy Dr.

Doctoral Theses

There has been a peralstent empliasis both at the na tional and international levela on the developmont and application of techniques of estimation of demographio variablos from incomplete or inagcurute data in Coneietont wi th the theme of reuoaroh, the the lesu developed rogiona. present study tries to provide estimates of vital rates and prospective population trends in India and to form a basis for measuri.ng suoh hunan neede as vducation, employment, f'anily weltare,and few others in terms of population size,growth, ago s truature and nuptiality. The other major objectivu is to undertake furthor utilization of data generated by tihe …


Extensions Of Gromov Theory., Sumanta Guha Dr. Feb 1987

Extensions Of Gromov Theory., Sumanta Guha Dr.

Doctoral Theses

Gromov formulated and proved a very general Smale - Hirsch - Phillips type theorem. The theorem concerns the claseification of a class of cross-sections o of a smooth fibre bundle E X over a non-closed manifold X such that each r-jet j(0) satisfies an openness condition as well es a stability condition. Briefly, the openness condition is that each j(a) is a cross-section of some preacribed open subbundle of the bundle of r-jets of local oross- sections of EX, and. the etability condition is that this subbundle remain invarient under the action of the paeudogroup of local diffeo- morphisme of …


Studies On Optimality Of Some Classes Of Designs., Rita Saharay Dr. Feb 1987

Studies On Optimality Of Some Classes Of Designs., Rita Saharay Dr.

Doctoral Theses

la. General Dbaervations and Literature ReviewExperimentation playe an easential role in moet of the atatistioal investigations carried out for drawing inferences about certain unknown parametera of interest. If the eituation allowe for only one experiment to be executed out of a number of available alternative experiments, the experimenter ehould sim at perfoming the one which le optimum in This ie how the problem of ohooeing the beet experiment some sense. comes up.To judge the relative performances of various statistical exf mente, Blackwell (1951, 1953) and Blackwell and Girahiok (1954) introduced the concopt of sufficient experiments . However, in the ontext …


Studies In Set Theoretic Hierarchies:From Borel Sets To R-Sets., Rana Barua Dr. Feb 1987

Studies In Set Theoretic Hierarchies:From Borel Sets To R-Sets., Rana Barua Dr.

Doctoral Theses

The present thesis consists of three parts.Part I of the thesis is devoted to the study of regularity propertion of classes of sets obtained from 8-8 operations applied to the class of clopen set s. In particular, the classes of set s obtained by applying the hierarchy of increasingly complex R-operations {Rp,), are investing at ed. Our points of departure in this study are the recent works on R- sets by Hi nm an and Burgess. In this thesis we have unified the methods of Hinman and Burgess by extensively u sing the game quantifier and methods of inductive definability. …


Multisectoral Model Of Income Distribution Poverty And Growth:Some Policy Exercies For Indian Economy., Debdas Bandyopadhyay Dr. Feb 1987

Multisectoral Model Of Income Distribution Poverty And Growth:Some Policy Exercies For Indian Economy., Debdas Bandyopadhyay Dr.

Doctoral Theses

The extent of poverty in any country depends upon two factors vlz, the average level of income anxd the degree of inequality in its distribution. The central theme in the continuing debate on the relationship between growth and poverty is whether past growth process in the developing countries has caused any signi.licant benefit to the poor. Kuznets (1955) was first to observe from cross country data that procosa of development is likely to be accompanied by increase in inequality, whhich would reverse itself only at a relatively advanced stage. This hypothesis has been subsequently confirned to some extent by several …


Class Contradictions In The Indian Society., Ashok Kumar Nag Dr. Feb 1986

Class Contradictions In The Indian Society., Ashok Kumar Nag Dr.

Doctoral Theses

Recognising the vastness of our subject it was felt necessary to limit the scope of the thesis in the following four ways(1) Agrarian classes have been left out.(2) Intra class contradictions have been analysed to a larger extent than inter class contradictions.(3) The historical process of Glass formation and the concomitant question of class consciousness have not been dealt with.(4) No direct reference has been made to the concept of mode of production.In other words, within the broad subject area suggested by the title, scope of the thesis has been narrowed down to the following identification and analysis of contradictions …


Optimum Sampling Strategies., T. V. Hanurav Dr. Feb 1986

Optimum Sampling Strategies., T. V. Hanurav Dr.

Doctoral Theses

The advantages sample surveys over complete censuses are well known and seem to be fully appreaciated as is evidenced by the increasing use of sample surveys now a days as a means of collecting information.The use of probability theory to make rigorous inductive inferences has been well recognised for a long time. Such inferences can be made only when observations which form the basis of the infe- rence are generated by some chance mechanism, In traditional applica- tions, the statistician usually assume s or takes for granted some kind of chan ce mechanism behind the o bservations, where as in …


Problems Of Distribution In India's Development: An Empirical Analysis., M. Suryanarayana Dr. Jan 1986

Problems Of Distribution In India's Development: An Empirical Analysis., M. Suryanarayana Dr.

Doctoral Theses

No abstract provided.


Certain Generalisations Of Acceptance Sampling Plans By Attributes., R. J. Pandey Dr. Aug 1985

Certain Generalisations Of Acceptance Sampling Plans By Attributes., R. J. Pandey Dr.

Doctoral Theses

The use of inspection gained importance when people started getting conscious of maintaining the quality of manufactured product. According to Anscombe (1958) inspection for quality in the form of acceptance sampling plans originated around 1920. The classical work of Dodge and Romig (1929) put acceptance sampling on a firm footing. In general, sampling inspection can be broadly classified into (i) lot- by-lot inspection (11) bulk sampling inspection and (iii) "continuous; sampling inspection.The lot-by-lot sampling inspection is applied where a series of lots or batches of discrete items are available for inspection. On the other hand, a batch of cotton, a …


Some Spectral Properties Of Three And Four Body Scrodinger Operators By The Methods Of Time Dependent Scattering Theory., M. Krishna Dr. Apr 1985

Some Spectral Properties Of Three And Four Body Scrodinger Operators By The Methods Of Time Dependent Scattering Theory., M. Krishna Dr.

Doctoral Theses

In the present work we shall deal with the asymptotic completeness problem in three and four (Quantum Mechanical) particle scattering. This thesis is divided into three chapters. In the first chapter we give an introduction to Scattering Phencmenon and give a description of the N-particle completeness problem.Then we collect some results preliminary to the later chapters and some results that would complete a discussion of the problem.The second chapter consists of some technical results and a reduction of the asymptotic completeness problem in N-particlerscattering via time dependent methods. The last chapter has two sections. The first section deals with verifying …


Some Studies In Analysis And Recognition Of 2 Dimensional Shapes., Swapan Kumar Parui Dr. Feb 1985

Some Studies In Analysis And Recognition Of 2 Dimensional Shapes., Swapan Kumar Parui Dr.

Doctoral Theses

Analysis and recognition of 2-dimensional shapes constitute an important problem in the fields of Pattern Recognition, Image Analysis, Computer Vision, Robotics and other related areas of research. If we look at the problem from the point of view of image or scene analysis, in a sense, the antire subject of automatic scene analysis might be defined as the problem of describing and recognizing the shape of the ob jects in an image. Shape is the primal intrinsic property for the vision system because we associate the definitions of objects with shape, rather than with colour or reflectivity, for example.According to …


Statistical Models For Consumer Behaviour In India., Amita Majumder Dr. Feb 1985

Statistical Models For Consumer Behaviour In India., Amita Majumder Dr.

Doctoral Theses

The present dissertation is about analysis of consumer behaviour ba sed on time-serios consumption data in the framework of a static complete demand system with special reference to India.On the methodological side, the the proposes two station demand systems. One of them is based on a modification of the Simple Non-additivo Model (SNAM) of Deaton (1976) - a generalisation of Stone's Linear Expenditure System (LES) - that overcomes the limitations of the LES ariaing from the additivity of its underfying direct preference structure. The other system is based on the Frice Independent Generalized Linearity (FIGL) of Maellbaucr (1975). Both the …