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Articles 391 - 420 of 460
Full-Text Articles in Mathematics
Some Asymptotic Properties Of Maximum Likelihood Procedures., Kasala Subramaniam Dr.
Some Asymptotic Properties Of Maximum Likelihood Procedures., Kasala Subramaniam Dr.
Doctoral Theses
This thesis consists of two parts dealing with maximum likeli. hood procedures in two different frameworks. In the first part (Chapters 1,2 and 3) we consider inference about a parameter which is discrete or separated in the sense that no f(x, e) can be obtained as a "limit" of ff(x,e1)}, + e. (A precise definition of what is meant by & "limit" is given in Chapter 1). In the second part (Chapters 4 and 5) we consider the usual eÅŸtimetion problem of what may be called in constrast to Part I, a contimuous parameter. We assume, we have an exponential …
Contribution To Theories Of Repetitive Sampling Strategies., Raghunath Arnab Dr.
Contribution To Theories Of Repetitive Sampling Strategies., Raghunath Arnab Dr.
Doctoral Theses
A common practical problem to whlch a survey - sampler has frequently to address himself 1s one of sampling a given finite population on successive occasions. One of the relevant issues requiring one's attention then 1s to adopt a suitable sampling strategy to estimate the population total of a variate of interest an the current occasion in an optimal manner. Here one has of necessity to take care to utilize the accumalated data on that variate procured in course of the survey along with other auxdliary information on one or more additional variables that may also incidentally be available, Several …
Statistical Analysis Of Nonestimable Functionals., Dibyen Majumdar Dr.
Statistical Analysis Of Nonestimable Functionals., Dibyen Majumdar Dr.
Doctoral Theses
Our interent will be centred around the Gaunn Markov model (Y,X6,2A), where Y ls a randon variable asnuning values in R" with expectation and dispersion natrix given byE(Y) = XA (1.1) (1.2) * X in Rnxm and A In the subset of nonnegative definite (n.n.d.) natrices of RAre known. Unless apecifled to the contrary, A will be assuted to be positive definite (p.d.). The unknown paraneter vector B varies in Ag, a subset of Rand o? in, will alvays be the positive half of the real line, unless otherwine specifled, and 1ikewfse satiafien the minimum requirement dim (n,) = m.Historically, …
Determination Of Probability Measures Through Group Actions., Inder Kumar Rana Dr.
Determination Of Probability Measures Through Group Actions., Inder Kumar Rana Dr.
Doctoral Theses
One of the fundamental problems in Measure Theory is the following: given a measurable space (x, B,), to find subclasses D of B, such that whenever for two probability measures u and v on (X, B,), u(B) = v(3) for every B c D, then u(B) = v(B) for every Be B,. The first basic theorem of Measure Theory, viz., the Caratheodory Extension Theorem says that any sub-algebra D of B, which generates B, has the above mentioned property.Let (X, B, ) be a given measurable space. A subclass n of 3, is called a determining class for a class …
Some Problems On Econometric Regression Analysis., Maitreyi Chaudhuri Dr.
Some Problems On Econometric Regression Analysis., Maitreyi Chaudhuri Dr.
Doctoral Theses
Very often in eoonometrio enslysis one adopts the classical lineer regression model. The classical linear regression model is given by If, in addition, e is assumed to be normally Ä‘istributed, the model is called classical normal1 linear regression mode1.Ordinary least squares (0LS) methods of estimation and hypothesis testing are besed on this ndal, d eveluton copy of CV POFO But the assumptions on É›is and- xs may not be fulfilled in reality; or, in other words, the model may not be correctly specified. Cne class of problems arises when some of the regressors are omitted from the equation and/or scme …
Geological Depletion And Locational Advantage In The Analysis Of Mineral Extraction Programmes., Sudhir Dattatray Chitale Dr.
Geological Depletion And Locational Advantage In The Analysis Of Mineral Extraction Programmes., Sudhir Dattatray Chitale Dr.
Doctoral Theses
The aim of the study is to evolve optimal pro- duction and linkage plans, to meet and oxogenously specified, spatially distributed time profile of damands from a set of spatially dispersed coking coal bearing geological blocks. The plans are optimal in the sense of minimun discounted present value of the sun of production, washing and transport costa.Pocussing our attention on a geological block consisting of many coal seams, we work with it as if it was operated as one production conplex. Geological depletion in ea ch block is formalised by estimat ing a Block Level Cumulative Cest Function (BLCCF) based …
On Some Non Uniform Rates Of Convergence To Normality With Applications., Ratan Dasgupta Dr.
On Some Non Uniform Rates Of Convergence To Normality With Applications., Ratan Dasgupta Dr.
Doctoral Theses
We obtain non-uniform rates of convergence to normality of the partial sums in a triangular array of random variables, where variables in each array are independently distributed. Section 2 of this chapter generalizes the results of Michel (1976) mainly in the direction of considering a triangular array of rand om variables. A slight generality in the moment assumptions is also made. The later extension is quite in spirit with Katzs (1963) extension of the classical Berry-Esseen theorem. Since by Tomkins theorem (see Tomkins (1971) or Stout (1974)) the laws of the iterated logarithm are directly related to the zone where …
On The Asymptotic Theory Of Quantiles And L-Statistics., Kesar Singh Dr.
On The Asymptotic Theory Of Quantiles And L-Statistics., Kesar Singh Dr.
Doctoral Theses
Let {Xi} be a sequence of r.v.s. nth stage we At the define e.d.f. as Fn (x) = (# Xi, ≤ x :≤ i ≤ n)/n and the ttn sample quantile as Qnt = inf {x : Fn (x) ≥ t} for t > 0 and = en(0+) for t=0. Most of the techniques of studying the process Qnt: 0 ≤ t≤ 1} consist of relating {Qnt} with some suitable linear statistics. The following are some of the commonly used methods for studying quantiles :(i) The Direct Methods In The Independent Case. Here, one can actually find the exact dis tribution …
Price Rigidities, Rationing Schemes And Economic Efficiency., P. R. Nayak Dr.
Price Rigidities, Rationing Schemes And Economic Efficiency., P. R. Nayak Dr.
Doctoral Theses
The prime concem of economist: traditionally has been the system of markets and their role in rasource allocat on. Walrasian equilibrium theory, which is believed to provÃde an ajequate framework for resource allocation through markets, has been extensively analysed in the recent past. At the sane time, it has been realined, mainly throunh Keynesian influence, that the market machanism is prone to failures, DOwnward Inflezibility of wages is an obvious example of this. It is further possi that a central authority concerned with improving general welfare may tamper vith the market mechanism or do away with it altoer.Thered ar three …
Choice Of Strategies In Survey Sampling., Geetha Ramachandran Dr.
Choice Of Strategies In Survey Sampling., Geetha Ramachandran Dr.
Doctoral Theses
The main problam of sampling from finite populations consi sts of devi sing an appropriate proceduro for sel ecting a sample from a given population and developing an appropriate procedure for estimating the population parameter of interest in order to maximize the precision of the estimator subject to certain restrictions on the cost for the survey or alternatively minimi ze the cost for achieving a given l evel of precision. During the thirties and forties several contributions were made to develop the theoretical background of sample survey techni ques in order to solve this problem, The most significant works of …
Study Of Indian Nuptiality., Chitta R. Malaker Dr.
Study Of Indian Nuptiality., Chitta R. Malaker Dr.
Doctoral Theses
DEFINITION OF NUPTIALITYAccordi ng to the latest International Demographic Terminelogy (Grebeni k and ill, 1974), t he term 'nuptiality' is used to denote the whole subject of the formation and dissolutien of sexual uni ons, includi ng the study of marriage, consensual uni ons, separation, di vorce, widowhood etc. It is also used, in a narrower sense, as a synonym for marriage in such terms as nuptiality rates;and nuptiality probabilities, The study of nuptiality deals with the frequency of marriage, 1.e., unions between persons of opposite sexes which involve rights and obligations fixed by law and custom; with the characteriatics …
Theory Of Estimation In Algebraic And Analytic Exponential Families With Applications To Variance Components Models., Krishnan Unni Dr.
Theory Of Estimation In Algebraic And Analytic Exponential Families With Applications To Variance Components Models., Krishnan Unni Dr.
Doctoral Theses
There are many important statistical problems of the following kind. The family of probability measures O is parametrized by a vector parame ter n varying in a q-dimen- sional domain. P can be represented as an exponential family of probability distributions with k canonical para- me ters where k is greater than q. The canonical parameters do not vary in a domain in R, but are restricted by polyno- mial or analytic equations. They vary on a curved surface defined by the polynomial or analytic equations within the natural parame ter space of the exponential family. The present work is …
Some Contribution To Descriptive Set Theory., Haimanti Sarbadhikari Dr.
Some Contribution To Descriptive Set Theory., Haimanti Sarbadhikari Dr.
Doctoral Theses
Current interest in the descriptive theory of sc ts stems largely from the many applications that the classical theory has found in probability theory, functional analysis, dynanic programming etc. As exarples, we cite the fundament al paper of Blackwell 15J wherein he has shown that many of the pathologies of probability theory c an be avoided if one takes the basic probability space to be an analytic set. As another example, we mention that several vritere [7), L23] have shown that in Blackwell's model of dynamic programming 131 the existence of optimal strategies ig related to the cxistence of measurable …
A Study Of Admissibility Through Exterior Boundary Value Problem., C. Srinivasan Dr.
A Study Of Admissibility Through Exterior Boundary Value Problem., C. Srinivasan Dr.
Doctoral Theses
The study of admissible decision procedures began in late forties when Wald introduced the concept to characterize the minimal complete class of decision procedures. Starting with the pioneering work of Abraham Wald, there has been considerable contribution to this area over the last three decades. However, most of the articles in this field dealt with specific decision procedures arid studied their admissibility. It was Stein [11 who first characterized, admissible decision procedures. Farrell ([2], (3]) generalized the result of Stein. In spite of the works of Stein and Farrell the problem of deciding whether a given decision procedure is admissible …
Theoretical Input-Output Analysis : Three Generalization., Sajal Lahiri Dr.
Theoretical Input-Output Analysis : Three Generalization., Sajal Lahiri Dr.
Doctoral Theses
This atudy "generalisost. inmit-output (10) malynde in the nensa of developing its baste theme and oentral idea in aome apeaifie ddreotions, Three brond direetions cre explored, undar the titlar of Rpaaio-dependenooof 10-mettiolenta, etrustural brenk, and *investment and growth coneietenay, In ecoh ecse the anlyada keepa to the Logie of I0 analynde in the sense of ita approaoh, concepts od methoda. Thie inaludes fn partimlar the edaptation of a cartain banla method of 10 nhelysia to analyse the struoture of reintione obtained in enah onse,The study is divided into five parto where the first providea a detolled introduotion to, and thn …
Sequential Methods In Estimation And Prediction., Nitis Mukhopadhyay Dr.
Sequential Methods In Estimation And Prediction., Nitis Mukhopadhyay Dr.
Doctoral Theses
No abstract provided.
Price, Income, Interest In A Two Sector Model Of Agriculture And Non-Agriculture: A Theoretical And Empirical Analysis For Indian Economy., Pradip Maiti Dr.
Price, Income, Interest In A Two Sector Model Of Agriculture And Non-Agriculture: A Theoretical And Empirical Analysis For Indian Economy., Pradip Maiti Dr.
Doctoral Theses
A macroeconometric model seeks to portray the functioning of an economy at an aggregative level, i.e., in terms of important macrovariables and their interrelationships. The empirical counterpart of such a model is what is called a macroeconometric model when the macrorelations are posited statistically, employing probabilistic methods of estimation and/or hypothesis testing. The present study covers both aspects of a macromodel. On the theoretical side, it builds up a macroeconomic model which may be relevant for a country like India. On the empirical-statistical side, it goes on to formulate a macroeconometric model. There is a clear interdependence between these two …
Contributions To The Theory Of Optimum Utilisation Of Auxiliary Information In Survey Sampling., V. N. Reddy Dr.
Contributions To The Theory Of Optimum Utilisation Of Auxiliary Information In Survey Sampling., V. N. Reddy Dr.
Doctoral Theses
The main problem of Survey sapling fron finite populations consista of devistng an appropriate procodure for solecting a rapresentative srple frøn a glven popalation and dornloping an apprepriate procedure for the estimation of the population parceeter of interest guch as po pulation nean or total or population ratto with a viev to naxinising the preofsion of the estinstor vithin the available resources of tino and ooat or 6iternati vely minimising the aost for achieving a giren level of prestsion, Towards the solution of this problen 1t is only during the thirties ond forties that a nore systematie develop- nant has …
International Tea Economy:An Econometric Description., Samir K. Majumder Dr.
International Tea Economy:An Econometric Description., Samir K. Majumder Dr.
Doctoral Theses
No abstract provided.
System Of Imprimitivity For Ergodic Actions Of Locally Compact Abelian Groups., Joseph Mathew Dr.
System Of Imprimitivity For Ergodic Actions Of Locally Compact Abelian Groups., Joseph Mathew Dr.
Doctoral Theses
Mackeys theorem on inducud representation gives all the systems of imprimitivity for a locally compact second countable group G, acting in a separable Hilbert space and based on a transitive G-space X. These systems of imprimitivity are obtained from the unitary representationg of the closed subgroup H of G defining the transitive G-space X. The main tool for this study is a class of functions called cocycles. Maçkey showed that the (G, x) systems of imprimitivity are connected in a one-one way to unitary operator valued cocycles on GXX: This cocycle in turn gives a representation of the closed subgroup …
Employment And Output Objectives In Project Selection., Basudeb Sen Dr.
Employment And Output Objectives In Project Selection., Basudeb Sen Dr.
Doctoral Theses
Alarmingly high and increasing rates of unemployment among the fast growing labour force has, in the recent years, becmne a serious threat to the social, political and economic envirorment in developing countries like India. Despite planned efforts at economic development, the percentage of unemployed in the labour force is estimated to have increased fron 9.0 per cent in 1962 to 1o.4 per cent in 1971 and 11.0 per cent in 1972 Dutt and Sundharam (1975) 7. Eradication of unemployme nt through creation of large-scale job opportuni ti es has come to establish itself as a major objective of the country. …
Contribution To The Analysis Of Consumer Behaviour., Dipankor Coondoo Dr.
Contribution To The Analysis Of Consumer Behaviour., Dipankor Coondoo Dr.
Doctoral Theses
Studies on consumer behavicur : 4 surveyThis Chapter briefly reviews the methodology, implications and limitations of various approaches to empirical demand analysis and also sunmarises the important Indian contributions to this branch of econo- metric applications.The Hicks-Allen theory of consumer equil ibrium has been outlined first to indicate the nature of empirically ob servable restrictione that ensure consistent consumer behaviour in an essentially static world deal- ing solely with non-durable oommodities. The role of the assumption of separability of the utility function in quantitative applications has al so been stressed here. Finally, the sope and limitation of this theory has …
Some Combinatorial Arrangements And Incomplete Block Designs Through Them., Anis Chandra Mukherjee Dr.
Some Combinatorial Arrangements And Incomplete Block Designs Through Them., Anis Chandra Mukherjee Dr.
Doctoral Theses
The use and importance, in Statistical Experimental, of Incomplete Block Designs, particularly, Balanced Incomplete Block (BIB) Designs, Doubly Balanced Incomplete Block (DBIB) Designs and Partially Balanced Inçomplete Block (PBIB) Designs are well known. Several combinational arrangements, including the incidence matrices of these Incomplete Block Designs and association matrices associated with PBIB Designs are known to be of use in Design of Experiments. In this thesis, we consider the construction problems pertaining to some of these combinational arrangements and take up the problem of construction of BIB, DBIB and FBIB Designs through them. The combinational arrangements studied in the thesis have, …
Some Aspects Of Topological Semigroup Acts And Machines., Kripasindhu Sikdar Dr.
Some Aspects Of Topological Semigroup Acts And Machines., Kripasindhu Sikdar Dr.
Doctoral Theses
No abstract provided.
On A General Class Of Unbiased Ratio, Product, Ratio-Cum-Product And Regression Type Estimators., N. S. Sastry Dr.
On A General Class Of Unbiased Ratio, Product, Ratio-Cum-Product And Regression Type Estimators., N. S. Sastry Dr.
Doctoral Theses
Probability enmpling methods ha ve extenaive a pplication in la rge- eca le agricultural and socio economic surve ys, Sampling is ale used in one or more stages of a census and sometimes as a mubstitute for a complete Census. Over the pa st four deca de s, confidence in the use of san pling and a ppreciation for the technique have stee dily grown thanks to the pi onee ring efforts of Neyman, Hansen, Hurwit z, Maha lanobis, Sukha tme, Cochran, Yate s and others.2. It is well known that the principa i problem of the theory of sampling …
Generalized Inverses Of Special Types Of Matrices., Rao Vara Prasada Pullepu Sree Satya Narayana Dr.
Generalized Inverses Of Special Types Of Matrices., Rao Vara Prasada Pullepu Sree Satya Narayana Dr.
Doctoral Theses
Inverses, in the regular sense of the term, do not exist for singular square matrices and rectangular matrices. however for such matrices there exist matrices which satisfy many important properties similar to those of inverses of nonsingular matrices and for many purposes, can be used in the same way as regular inverses. These matrices are named generalised inverses (g-inverses) to distinguish then from the inverses of nonsingular matricos. Only since 1955 this field of study af generalized inverse was: invostigated systenatically and was expiorcd for nany beautiful and interesting results and applications though the concept of generalizod inverse was first …
On Some Problems Of Sequenting And Grouping., T. S. Arthanari Dr.
On Some Problems Of Sequenting And Grouping., T. S. Arthanari Dr.
Doctoral Theses
The problems of sequencing arise in almost all walks of life. Theory of scheduling deals with such problems. Usually, these probl ems are stated in the literature in terms of jobs, machines, operations, penalties, due dates et cetera, that is, in the language of machine shops. The real life problems of In machine - shop job sequencing are of a complex nature. general, we consider processing n items on a certain group of machines, so as to optimize certain objective, subject to various cons traints on precedence, machine availability, due date and so on. The job sequencing problems are includ …
Studies In Probability Theory., Ramanathan Subramaniam Dr.
Studies In Probability Theory., Ramanathan Subramaniam Dr.
Doctoral Theses
This thesis consists of four chapters.The inpetus for the work in Chapter 1 comes from the concept of 'conditional atom' introduced by ileveu (191. Here, using conditional atoms we generalize the concept of nenatomicity of measures. (We confine ourselves to probability measures). We obtain generalizations of results on non atomic measures in [1), [3] and of Liapounoff's theorem. The results in Chapter 2 have their origins in a paper by Boylan [7]. To study 'e quiconvergence of martingales' Boylan introduced in [7] a metric on the space of complete sub d-algebras of a probability space. A little later, Never showed …
Studies In The Theory Of Measurable Maltifunctions., Sheshi Mohan Srivastava Dr.
Studies In The Theory Of Measurable Maltifunctions., Sheshi Mohan Srivastava Dr.
Doctoral Theses
During the last fifteen years a large number of papers have been devoted to the study of elosed set valued multifunetions. The studies were notivated by both the theoretical and spplica- tional interests that such multifunetions have. From the appli- cational point of view it is worth noting that such multifune- tions arise in varlous problems of control theory, dynanie progra- aning etc. The theoretieal'aspects of these studies belong properly to classieal deseriptive set theory. Classionl deserip- tive set theory asks que stions about how sets are constructed and about other definability properties of sets. The results on closed set …
Invariant Subspaces Of Vector Valued Function Spaces On Bohr Groups., Somesh Chandra Bagchi Dr.
Invariant Subspaces Of Vector Valued Function Spaces On Bohr Groups., Somesh Chandra Bagchi Dr.
Doctoral Theses
The theory of invariant subspaces of various Cunclion-spaces of complox-valued and vector-valued functions on the circle group 13 well known through the 'Loctures on Invariant Subspaces' by Helson ([4]), Replacin; Line circle croup by a Bohr group B (that is, a compact ahelian group whose dual is a subgroup of tho ronl. line R, dense in the topology of R), Helson and Lowdenalager initiated the study of invariant subspaces of L2,(B) in (6]. They discovered that after suitable normalisation, the simply invariant subspaces of L2(B) arcinonc-to-one correspondence with a certain class of functions on R x B, which are called …