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Articles 361 - 390 of 466
Full-Text Articles in Mathematics
A Political Economy Study Of An Indigeneous Irrigation System., Nirmal Sengupta Dr.
A Political Economy Study Of An Indigeneous Irrigation System., Nirmal Sengupta Dr.
Doctoral Theses
The present thesis is the study of a specifio indigenoous irrigation eystem following the general method of politioal coonomy. A couple of yeara baok when I had written for the firet time ubout this little-known but widespread irr igation aystem the artiole had driwn ocnaiderublo attention. The prosent study is a much detailed expooition of the sama syetem. The age old eystem of irrigaticn howover, 1e not mere ly a matter of historionl interest. It alao raisos many different quastione regarding developmant strategy and planning. I have devolop. the study so aia to be able finally, to deal with suoh …
Life Table Construction From Population Age Distributions Suffering From Response Biases In Age-Reporting:A New Technique(Not Requiring Age Smoothing)With Application To Indian Census Age-Returns., Subrata Lahiri Dr.
Doctoral Theses
Preliminary concepts of life tables, its role in demographic analysis, a brief chronological review of various literature on the construction of life table starting from John Grants investigation on mortality, along with an introduction to the basic problem and objectives of the present study.Chapter II describes the concept and utility of cumulative census survival ratios, first introduced by Professors Ansley J. Coale and Paul Demeny (1967) as the ratio of the number of persons aged x+10 end above enumerated at time t+10 to the number of persons aged x and above enumerated at time t. These are compared to the …
On The Choice Of Shadow Prices For Project Evaluation., Jean Dreze Dr.
On The Choice Of Shadow Prices For Project Evaluation., Jean Dreze Dr.
Doctoral Theses
Manohar athanna is one of the remotest parts of Jhalawar District (Rajasthan, India). In the month of June it offers a striking contrast of scenic beauty and economic destitution. Agricultural activity is at a virtual standstill. The soil is very arid, irrigation practically non-existent, and by then the villagers (many of them tribals) have resolved to wait upon the good will of the rain gods.. Hence they have very little to do, or at least so they believe. Some gather wood to sell it in Manohar, walking miles under the scorching sun for a meagre reward, and adding slowly but …
Statistical Analysis Of Economic Activities For Developement In Nepal., Bishnu Pant Dr.
Statistical Analysis Of Economic Activities For Developement In Nepal., Bishnu Pant Dr.
Doctoral Theses
The main objective of this study has been the statistical analysis by the use of those statistical and quantitative tools that could be considered appropriate for applications in an underdeveloped economy, where in usually lies sufficient data and information gaps, towards a proper diagnosis of the problems and prospects of economic activities in its diversified regional environments. This study is conducted with reference to an underdeveloped country, Nepal, where detailed regional analyses have hardly been attempted earlier, to evaluate the regional structures of economic activities for the purpose of clarifying oar visions for a proper kind of regional planning. Though …
On Strategies Of Sampling Finite Populations In One And Two Phases., Arun Kumar Adhikary Dr.
On Strategies Of Sampling Finite Populations In One And Two Phases., Arun Kumar Adhikary Dr.
Doctoral Theses
This thesis is being submitted to the Indi an Statibtical Institute (ISI) in fulfilment of the primary requirements for the award of the degree of Doctor of Philosophy in Statistics.No part of this theais was submitted to any other Inatitute for any degree, diploma, certifioate etc.In this thesis we have mainly presented results of our investigation on optimal strategles for surveying finite populations in two phanes using selection procedures with varying probabilities. Incidentally we have added a few more resulta to the available literature on uni-phase sampling as are conaidered important in formulating appropriate doutbe sampling plans. Optimal and pragnatically …
Optimal Block Designs In One And Multi-Way Settings., Sunanda Bagchi Dr.
Optimal Block Designs In One And Multi-Way Settings., Sunanda Bagchi Dr.
Doctoral Theses
The study of optimality of block designs formally began with wald (1943) proving a very important optimality property, designated as D-optimality of Iatin Square. Desi gns in a given physical set up. Next Ehrenfield (1955) proved the E-optimality property of Latin Square Designs. Since then, the work in: the area has primarily consisted in evolving a number of useful opti- mality oriteria for oomparing block design in a reasonable set up given and oharacterizing and/or constructing desi gns saiisfying the so called optimality criteria developed. But it was not until 1958, when the theory was given a proper and precise …
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Doctoral Theses
This the sis consists of two parts. In part I we have investigated problems concerning Bayes estimates, especially ex pansion of the integrated risk of the Bayes estinate (also referred to as the Bayes risk or the integrated Bayes risk), approximation of the Bayes estimate and expansion of the posterior distribution. In part II we have introduc ed a new opimun property for estimates and have concluded that the maximum likelihood estimate (m.1.e.) enjoys this property ; in this part we have also investigated what is known as Raos conjecture which saya that the test based on the score function …
Some Contribution To The Sampling Theory Using Apriori And Aposteriori Information., Pulakesh Maiti Dr.
Some Contribution To The Sampling Theory Using Apriori And Aposteriori Information., Pulakesh Maiti Dr.
Doctoral Theses
The practice of keeping records on socio-economic aspects etc. in terms of the data from real or actual populations by the States etc. is age old. There are evidences of such practice in India even at about 500 B.C. where the King Courts/Tribe Mecds/Gromini (village Henda) used to keep the records on military force, human population, cattle population, land u se otc. The records were in the form of data on both the quantitotive ond qualitctive character- istics. It is well known thot the Grent Maghul Empire, in ladia, ol so used to keep the records in form of data …
Optimal Strategies Under Superpopulation Models., V. R. Padmawar Dr.
Optimal Strategies Under Superpopulation Models., V. R. Padmawar Dr.
Doctoral Theses
Though the concept of survey sampling is very old and has alvays been in vogue 1t in only during the thirties and forties that a nore syatenatis developnent of the theory of sample surveyo tock place vith the introduction of ideas 1ike sapling without replacenent, probability sapling and stratification. Howovcr, a large nunber of tochniques developad and practiaud during this pariod had nostly edther empirical or intuitive basdo. It usa nuah later that attention vas paid to the purely theörotioal aspect of the dovelepmont of the survey ascipling.The Main problem of sipling tron finite populatian conalata of devising an appropriate …
Some Contributions To Bayes, Minimax And Admissible Decision Rules In One Parameter And Multiparameter Families., Anirban Das Gupta Dr.
Some Contributions To Bayes, Minimax And Admissible Decision Rules In One Parameter And Multiparameter Families., Anirban Das Gupta Dr.
Doctoral Theses
The study of admissible, minimax, and Bayes procedures has been of primary importance ever since the pioneering work of Wald (50). Since early seventies, new directions have been opening up, and not merely new techniques, completely new interpretations and interrelations have come to be known.To prove admissibility of estimates the most commonly used technique is to show that it is extended Bayes and approximate its risk by the risk of the corresponding Bayes estimates. This technique is due to Blyth (51). A sort of conver se result, which cssentially shows that this technique must work for all admissible est imates …
On Some Deterministic And Stochastic Scheduling Problems., V. Rajendra Prasad Dr.
On Some Deterministic And Stochastic Scheduling Problems., V. Rajendra Prasad Dr.
Doctoral Theses
Scheduling problems are quite common in nature. They arise whenever there is a need to plan the execution of various operations over time. Like many ot her real life problems such as inventories, networks, queues etc. almost all the scheduling problems car be rapresented by appropriate mathematical models. The theory of scheduling is a disciplina which doals with the construction of suitable mathematical models for sche duling problems and their analysis. Scheduling theory came into prominance after Johnson (1954) had published his work on a fiow shop sche duling problem.The current reseu rch work in scheduling thoory can ba classified …
Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr.
Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr.
Doctoral Theses
We consid er the poneral lingar nodel Y = X v e, here Y io an nx1 rundor voctor taking valacs in 2, x is an nXu ratrix (the deni gn ratrix), ip an 1X1 vectur uf unknown partro tere varying in R and 1s an nx1 voctor of errors with E(e) = 0 and E(ee') - o2v,o2 boing a positive scalar (known or unknown) and is an nXn non-negative definite Ta trix. It in assurmod that n < n. Such a nodel (also known as the Gauss-Markov nodel) is usually denoted by (Y, Xβ,α2v). he defini tions ot un catinable lincar paranctric function, sinple least squires estimator (SLSE), best linear unbia sed estinator (BLUE), linsar ninir:un bias cstinator (IIMBE) and best Iinear nininum bias estinator (BIIMBE) under the nodel (Y, Xβ,α2v arc we 11. known and we retor to Rao and Mitra (1971, Chaptere 7 and B) for the details.Early contributions towärde estinating linear functionals of β are due to Logenire (i806), Gauss (1609) and Varkov (1912), where attention was concentrated on the case where R(X)= n and V = I, the identity natrix. Aitken (1934) considercd the problen of bost lincar unbianed catiration under the setup vhere R(x) = n and V is any positive definite natrix. Bose (1944) conside the casc where R(X) < n and V = 1, while Rao (1945) genera d this to any positive defini te V. Seal (1967) ives a good histo- rical account of the linear model upto 1935 and Plackott (194 9) givus a shorl histurical nute un the raothori uf Jount aquarce. WEE the covariance atixv is nunaingnlar ilh v is nunainglar . la V known und tiho nXn 15 Lrix X is of tnll ruk, i.c. o? runit n and when fur thor the culca ut the ratri are li orthonor- Lial igenvectcre ut v, tun it is at yasil wririahle fact that ie icontical1 ita its S13. his ract was first pointed aut by Andernon (1948) and nutice of it was lakon soon af ter by Durbir und watecn (1950). Fro thin tire cnards, the problen of deriving necessary and sufficient conditions under which the SISE't are e also corresponiing ELUE a hae received con- siderable attontion, mainly due to the norputationl advantage of the S1.SR over the ILUE. The present work is devoted to the study of the robuatness of cstiration and testiag: prucordarcs in linar codels with in- correct desim und dispersion aaa brices. Betore giving a surary of the probleris considUred we shull prosent a brief rovicw of th 1iterature in this area.A atatonant on vorious noceary anl nfricient ountitionn for the equalily of tha iaa aid correapotsiin BIJRse de by Zyakind (1962) On: of the cunlatiuna ota tod huru 1a that thore exista a nahuut of r udiponveetoro of V that forma banio uf the vector spucu spied by tho colunna of the design ratrix X. A proot thut the cáguvuotur ounition is both neoessary and auf- firient for the correapuiliny HTE arsl SLSE to huve the ae cuvarianeu natri: du oresoutua vdth X n all at ai 7 aonningular hy Ma, maa ant aGuáro (1962).
Some Results About Basic Elements, Cancellation And Efficient Generation Of Modules Over Laurent Polynomial Rings., S. Mandal Dr.
Some Results About Basic Elements, Cancellation And Efficient Generation Of Modules Over Laurent Polynomial Rings., S. Mandal Dr.
Doctoral Theses
Unless otherwise stated all rings are assumed to be commutative and Noetherian with finite Krull dimension and modules are finitely generated. There are three related questions in commutative algebra. They are about the existence of unimodular elements in projective modules, cancellation of projective modules and minimal number of generators for finitely generated modules. In particular, determining the minimal number of generators of ideals is also of great interest in this area.In this thesis we shall be concerned with the above questions in the case of Laurent polynomial rings.The thesis consists of three Chapters. The main results are presented in Chapters …
India's External Debts: Growth, Determinants And Impact, Sanjib Pohit Dr.
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 …
Economic Regionalization Of India 1960-61 And 1970-71., Rabindranath De Dr.
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 …
Pathwise Stochastic Calculus Of Continuous Semimartingales., Rajeeva L. Karandikar Dr.
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.
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 …
Morphological And Genetic Composition Of The Gonds Of Central India: A Statistical Study., Urmila Pingle Dr.
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.
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.
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.
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.
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 …
Replacement Strategies For Ageing Assets With Specific Reference To Coconut Plams In Kerala., Chandan Mukherjee Dr.
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.
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.
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 …
Estimation Of A Common Mean And Recovery Of Inter Block Information., Chunni Gopal Bhattacharya Dr.
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 …
Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr.
Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr.
Doctoral Theses
This theale maindy desie with conbinatoriel aspocte of diayonale of natelees. or enurne, there are aleo eosulte which are nat sunbinatorial in naturos but thase ara neroly by-producta. Chapter-0 gives e very short nary ot the cnntenta of the theete. The raeulte aro ofr tuo kinde. (1) complately rev and (2) old results through rew rethude.Thịa thasle, wholly or pertly, has not baon subnittad to any othor Univerdity or Inatitute for e degree.I exprees hoceby ry doopost sonse of grotitude to br. KA. PARTHASARATHY, Haed of the Doparteant af Mathemties, Indian Inatituta of Tochmlogy, Redras, under uhana bonign guidance thie …
Asymptotic Expansions And Deficiency., Tapas Kumar Chandra Dr.
Asymptotic Expansions And Deficiency., Tapas Kumar Chandra Dr.
Doctoral Theses
The efficiencies intmduced by B.J. G. Pitnan and R. R.Bahadur are both meant to compare the asymptotie perfornance or statistical procedured. However there are nany interesting situations where these eriteria prove inadequate and rurther discrimination 1s necessary. One such attempt of furthor refinenent is the criterion of defieieney.This investigation was undert aken with the ob ject of davelop- Ing tools for studying defieiency of test proceduros vith (1) same Pitman efficieney, OT (11) sane Bahadur efficiency.Deficiency in the first case has been defined by Hodges and Lehumann (1970). Deficiency in the second case vas defined by Chandra and Chosh (1978). …
Role Of Labour In Indian Agriculture., Manabendu Chattopadhyay Dr.
Role Of Labour In Indian Agriculture., Manabendu Chattopadhyay Dr.
Doctoral Theses
In this stuly, we have analysed some aspects of labour condi- tions and relations in Indian agriculture on the ba si s of available secondary source data.We have started our analysis by taking a look at the origin and growth of the class of agricul tural labourers in the Indian society. Possible explanations for the ori gin and growth of the agricul tural labour class have been reviewed in this context. We then prmceed to examine the trends in employment and unemployment in both the rural and urban sectors of India. The trends are studied in terms of absolute nurbers …
Flow-Shop Scheduling Problems., N. R. Achuthan Dr.
Flow-Shop Scheduling Problems., N. R. Achuthan Dr.
Doctoral Theses
Researchers attention was drawn to the study of schodulirg problems through mathemtical modelling, probably for the first time, when Johnson (1954) publishod his famous paper in mval research logistic quarterly. Thercafter, mny authors have contimued to contribute to the growth of the theory of scheduling. A vast colloctim of papers related to this area is rogularly published by journals like mamgement science, operations research, operational research quarterly, naval research logistic quarterly, opsearch etc.. A good grasp of the litermture in this arca can be had from the books by Conway et al. (1967), Baker (1974) and Rinnooy Kan (1976).This thesis …
Asymptotic Theory Of Extimation When The Limit Of The Log-Likelihood Ratios Is Mixed Normal., P. Jeganathan Dr.
Asymptotic Theory Of Extimation When The Limit Of The Log-Likelihood Ratios Is Mixed Normal., P. Jeganathan Dr.
Doctoral Theses
In one of his fundamental papers Le Can (1960) introduced what is now called locally asymptotically normal (LAN) families of distributions and obtained several basic results regarding the asymptotic theory of estimation and testing. Roughly speaking, a sequence of families is said to satisfy the LAN condition if the corresponding sequence of appropriately normalised log-likelihood function is locally approximated with probability tending to one by the sum of two expressions, the first one being a sequence of rand om linear functions of the normalised parameter and the second one being a non-random quadratic form of the normalised parameter, and the …