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India's External Debts: Growth, Determinants And Impact, Sanjib Pohit Dr.

Doctoral Theses

In the post-World War Il era, the world saw the birth of many new nations. Primarily, they were the colonies of the industrialized countries and were developed only to supply raw materials to the colonizing country. Rightly, attention was focused to develop the economies of these countries. The ear- lier studies of the economic problems of developing countries has focused on a lack of capital, both physical and human. Rapid progress in solving these problems is scen to be hindered by a number of constrainte-domestic savings, foreign exchange and human skills. In this setup, external finance can further growth by …

Random Factors And Isofactors In Graphs And Digraphs, John Frederick Fink

Dissertations

A factor is a spanning sub(di)graph of a (di)graph. Factors that are generated by an algorithm that incorporates an element of randomness are often called random factors. An isofactor is essentially a factor G that is either empty or for which there exists a connected regular (di)graph H having a nontrivial G-factorization. Several topics, each concerning random factors or isofactors, are investigated in this dissertation. An historical introduction to these topics is given in Chapter I.

In Chapter II we define an antipath and say that a digraph is randomly antitraceable if every nonspanning antipath can be extended (at its …

Hardy And Lipschitz Spaces On Unit Spheres, Leonardo Colzani

Arts & Sciences Electronic Theses and Dissertations

The main objective of this work is to develop a theory of Hardy spaces on the surface (SIGMA)(,N) of the unit ball B(,N+1) in (//R)('N+1), analogous to the maximal and atomic theory of Hardy spaces on (//R)('N), and to characterize the duals of these spaces as spaces of Lipschitz functions.

Numerical Methods (Finite Element) For Time-Dependent Partial Differential Equations, Masaji Watanabe

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper surveys reasons why the Ritz method and the Galerkin method are not efficient and why these methods can not be applied directly, for time dependent problems. It also introduces methods that are used for those problems. For a linear boundary value problem defined by a positive definite symmetric (self-adjoint) operator, the existence and the convergence of the Ritz approximation are guaranteed. In non-symmetric case, Lax-Milgram lemma assures the existence and the convergence of the Galerkin approximation for H1/2(Ω)-elliptic operator. Since time-dependent problems are hyperbolic or parabolic, the existence and the convergence of approximations by those methods are not …

The Shape Seeker Algorithm, Ladawn Haws

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper gives a brief description of several well known fuzzy objective function clustering algorithms, and discusses the convergence properties of this type of algorithm. The Shape Seeker algorithm, an adaptive norm algorithm, is then described in detail, and convergence established. It is compared to the other algorithms by examining the clusterings it produces on several data sets.

Effects Of Programming On Mathematics Achievement, Mary O. Harrison

Retrospective Theses and Dissertations

No abstract provided.

Economic Regionalization Of India 1960-61 And 1970-71., Rabindranath De Dr.

Doctoral Theses

A massive investment programme has been undertaken in India through the process of planning. But the effects of such investment on economic growth are worked out only at the aggregate level for the country as a whole; its contribution to the growth of the different regions in the country is yet to be adequately understood. Now, for a large country like India with significant regional disparities in the level of living, an essential objective of development policy should be to reduce the existing economic inequality between the regions | in particular, the inequality in the level of living. The priority …

Replacement Strategies For Ageing Assets With Specific Reference To Coconut Plams In Kerala., Chandan Mukherjee Dr.

Doctoral Theses

Produotion assets which deteriorate in performance with time (or age) are required to be replaced. In general, a stream of benefits and costa are associated with every productive asset, be it a machine or a tree. Ugually, in replacement theory, the benefits and costs are taken as given functions of the age of the asset. These functions provide the oriteria for identifying the pÅ‚ysical condition of the asset. In simple replacement models, an asset is replaced by an ider tical one. The objective of a replacement policy is to find a sequence of time pointe (or alternatively, replacement ages) for …

Measurable Sets In Product Spaces And Their Parametrizations., V. V. Srivatsa Dr.

Doctoral Theses

No abstract provided.

On Specification And Statistical Inference In Single Equation Regression Models., Nityananda Sarkar Dr.

Doctoral Theses

This thesis attempta to cansider and provids solutions to viat nay be broadly decribed na Bone problems of speciification and satatistical inforence in single equation lineur regression models. It co sists of three parte, each having several chepters. The firat part in devoted to sme problems connec ted vith the use of the wall-imown Bor-Cox (BC) tranaformation of variablee in single equetion ragreanion nodels. In the other two parts we exanine an autocorrelated linear regreasion nodel from a rather unconventional angle. Precisely, we consider the problema which arise when the error tem in an autocorre lated linear regression nodel is …

Morphological And Genetic Composition Of The Gonds Of Central India: A Statistical Study., Urmila Pingle Dr.

Doctoral Theses

The racial compositi on of the people of India 1s atill a riddle and one which isg etting increasingly difficult to eolve as over a period of time it han been fast chnnging due to absorption of mrious pepulntions into the Hindu onste- fold ant the finsion and funion within the casto syaten na n product of occupntionnl or cultural chnnge in the wny of life. Admixture over a long peri od of time bas produc ed a wide diversity in norphology (ns well as skin colour) ef Indinn people. The wavas of migrations of people from the Eu rasian …

The Alfsen-Errors Structure Topology In The Theory Of Complex L1-Preduals., T. S.S.R.K. Rao Dr.

Doctoral Theses

A complex Banach space X is said to be an L1-predual if X* is isometric to L1() for some non-negative measure Well known examples of L1-preduals include the space C(X) of complex-valued continuous functions on a compact Hausdorff space and the abstract M-spaces of Kakutani. In [19], Grothendieck introduced a class of L'-preduals, now known as G-spaces, and conjectured that those are all the L'-preduals. In his 1964 memoir [35], Lândenstrauss settled this conjecture by exhibiting a wide class of Banach spaces, other than G-spaces, which are L1-preduals. He also gave several characterizations and interest- ing properties of L1-preduals in …

Spectral And Scattering Theory For Schrodinger Operator With A Class Of Momentum Dependent Long Range Potentials., P. L. Muthuramalingam Dr.

Doctoral Theses

No abstract provided.

Pathwise Stochastic Calculus Of Continuous Semimartingales., Rajeeva L. Karandikar Dr.

Doctoral Theses

Stochastic integration with respect to Brownian motion was introduced by Ito. Stochastic integration with respect to martingales (and seminartingales) was developed by Kunita-Watanable [24 Fisk [9), Courrege D] and Meyer [33]. In this thesis, we study the path wise stochastic calculus restricting ourselves to continuous semimartingales. Here is a brief summary of our results.In Chapter I, we obtain a pathwise formula for the quadratic variation process < M > of a continuous local martingale M. Recall theat < M > is the natural increasing process in the Doob-Meyer decomposition of M. By a part wice formula for M> we mean a formula describing cxplicitly a w-path …

Estimation In Errors-In-Variables Models., Manoranjan Pal Dr.

Doctoral Theses

In many econometric investigations, the 'errors-in variables' (EIVs) are not negligible (Morgenstern, 1963). Examination of 25 series relating to national accounts by Langaskens and Rijekeghan (1974) showed that the standard deviations of the errors ranged from 5 to 77 per cent of the average value of the corresponding variable. Such errors may vitiate least-squares (LS) estimation of regression coefficients (Johnaton, 1972). The well-known methods (ML; IV, including grouping method) proposed for handling classical EIV model (EMM) in regression analysis muffer from serious linitations. Same of them make strong distributional assumptions about the errors (and the regressors) and/or assume prier knowledge …

Structure And Inter-Relations Of The Land, Labour, Credit And Product Markets Of South Kanara: A Study Of A Backward Agricultural Economy., K. Nagaraj Dr.

Doctoral Theses

South Kanara is a predominantly rural and agricultural district in the state of Karnataka in South India, given largely to the cultivation of a single subsistence crop (paddy) which accounts for nearly 70 per cent of its gross cropped area. The agricultural technology is Primitive, with little use of 'modern' inputs like chemical fertilisers, HYV seeds etc. There are no large scale or modern industries in the district. The little manufacturing activities that exist are mostly of the primary processing type, carried out in small establishments and households. There is however, rather high incidence of the so-called 'tertiary' activities like …

Estimation Of A Common Mean And Recovery Of Inter Block Information., Chunni Gopal Bhattacharya Dr.

Doctoral Theses

The problem of conbining several estimates of an unknown quentity to obtain an eetimete of Improved precieion arises in meny spheres of application of etatistics, To begin with let us consider the following simple inadelt1 =+4, 1- 1,...,kwhere u ie an unknown quantity and e, e ere errora with a common menn zero end a common veriance o. If we make no further asoumption about the distribution of e,s, the GAuas-Markoff theorem tells us that among sll unbtaved lineer combinationa ofr ya, the least squAre estimator i * Iy /k of u hes the minimum variance. If ,s are jointly …

Extensions, Generalizations, Characterizations And Testing For Independence Through Infinite Divisibility, Edward Joul Danial

Doctoral Dissertations

This dissertation investigates various related topics around the exciting concept: "Infinite Divisibility." First, two intricate distributions, namely, the univariate generalized Waring and the hyper-Poisson are proved to be infinitely and noninfinitely divisible, respectively. Analysis and computer approaches are employed. This itself extends the use of some results introduced by Katti, Steutel and Warde. Secondly, generalizations to Warde, Katti and Steutel's sufficient conditions and related results are achieved. Then, numerical application is presented. Thirdly, characterizations through infinite and finite divisibility are obtained. The Poisson, negative binomial, geometric, Bernoulli and uniform c haracterizations in terms of infinite divisibility are deduced. Some of …