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Nonparametric Methods For Data In Infinite Dimensional Space., Anirvan Chakraborty Dr.
Nonparametric Methods For Data In Infinite Dimensional Space., Anirvan Chakraborty Dr.
Doctoral Theses
For univariate as well as finite dimensional multivariate data, there is an extensive literature on nonparametric statistical methods. One of the reasons for the popularity of nonparametric methods is that it is often difficult to justify the assumptions (e.g., Gaussian distribution of the data) made in the models used in parametric methods. Nonparametric procedures use more flexible models, which involve less assumptions. So, they are more robust against possible departures from the model assumptions, and are applicable to a wide variety of data. Nonparametric methods outperform their parametric competitors in many situations, where the assumptions required for the parametric methods …
Services Sector And Non-Balanced Growth., Anuradha Saha Dr.
Services Sector And Non-Balanced Growth., Anuradha Saha Dr.
Doctoral Theses
No abstract provided.
Essays On Auctions And Mechanism Design., Abdul Quadir Dr.
Essays On Auctions And Mechanism Design., Abdul Quadir Dr.
Doctoral Theses
This thesis consists of three chapters that aim to characterize incentive compatible mechanisms in specific mechanism design settings. In these settings, the designer is allowed to use payments but the net utility of every agent is linear in payments. This particular assumption on net utility is called quasi-linearity. Each of the three chapters in the thesis identifies a class of mechanisms and characterizes them (in quasilinear private value environment) using dominant strategy incentive compatibility and some additional reasonable conditions.In quasi-linear environment, a mechanism can be decomposed into an allocation rule and a payment rule for every agent. If a mechanism …
Essays In Political Economy And Voting., Mihir Bhattacharya Dr.
Essays In Political Economy And Voting., Mihir Bhattacharya Dr.
Doctoral Theses
This thesis comprises three chapters on issues in political economy and voting. The first chapter considers a multilevel multidimensional aggregation problem in voting. The second chapter considers a model of party formation where citizens propose links to other candidates. The final chapter considers a model of electoral competition between regional and national parties.We provide a brief description of each chapter below. 1.1 Multilevel Multidimensional Consistent AggregatorsIn this chapter we study gerrymander-proof or consistent aggregation rules in different contexts. There are several papers that have studied the structure of consistent voting rules satisfying various versions of consistency. Virtually all these papers …
Foliations With Geometric Structures: An Approach Through H-Principle., Sauvik Mukherjee Dr.
Foliations With Geometric Structures: An Approach Through H-Principle., Sauvik Mukherjee Dr.
Doctoral Theses
A foliation on a manifold M can be informally thought of as a partition of M into injectively immersed submanifolds, called leaves. In this thesis we study foliations whose leaves carry some specific geometric structures.The thesis consists of two parts. In the first part we classify foliations on open manifolds whose leaves are either locally conformal symplectic or contact manifolds. These foliations can be described by some higher geometric structures - namely the Poisson and the Jacobi structures. In the second part of the thesis, we consider foliations on open contact manifolds whose leaves are contact submanifolds of the ambient …
On The Analysis Of Some Recursive Equations In Probability., Arunangshu Biswas Dr.
On The Analysis Of Some Recursive Equations In Probability., Arunangshu Biswas Dr.
Doctoral Theses
This thesis deals with recursive systems used in theoretical and applied probability. Recursive systems are stochastic processes {Xn}n≥1 where the Xn depends on the earlier Xn−1 and also on some increment process which is uncorrelated with the process Xn. The simplest example of a recursive system is the Random Walk, whose properties have been extensively studied. Mathematically a recursive system takes the form Xn = f(Xn−1, n), is the increment/ innovation procedure and f(·, ·) is a function on the product space of xn and n. We first consider a recursive system called Self-Normalized sums (SNS) corresponding to a sequence …
Some Issues In Unsupervised Feature Selection Using Similarity., Partha Pratim Kundu Dr.
Some Issues In Unsupervised Feature Selection Using Similarity., Partha Pratim Kundu Dr.
Doctoral Theses
Pattern recognition is what humans do most of the time, without any conscious effort, and fortunately excel in. Information is received through various sensory organs, processed simultaneously in the brain, and its source is instantaneously identified without any perceptible effort. The interesting issue is that recognition occurs even under non-ideal conditions, i.e., when information is vague, imprecise or incomplete. In reality, most human activities depend on the success in performing various pattern recognition tasks. Let us consider an example. Before boarding a train or bus, we first select the appropriate one by identifying either the route number or its destination …
Essays On International Economics In Presence Of Economics Of Scale And Monopolistic Competition., Rajit Biswas Dr.
Essays On International Economics In Presence Of Economics Of Scale And Monopolistic Competition., Rajit Biswas Dr.
Doctoral Theses
Trade theorists, have generally been concerned with three basic questions: Why do countries engage in trade? What is the pattern of trade? and What are the gains from trade? These questions have remained the focal point of inquiry from the times of Adam Smith till the present day. The first two questions inquire, respectively about the causes of trade, and if trade indeed takes place, then about the pattern of specialization of each country in the post trade situation. These are thus questions of positive economics. The third point of inquiry is normative. This is because, gains and losses from …
On Supervised And Unsupervised Methodologies For Mining Of Text Data., Tanmay Basu Dr.
On Supervised And Unsupervised Methodologies For Mining Of Text Data., Tanmay Basu Dr.
Doctoral Theses
The supervised and unsupervised methodologies of text mining using the plain text data of English language have been discussed. Some new supervised and unsupervised methodologies have been developed for effective mining of the text data after successfully overcoming some limitations of the existing techniques.The problems of unsupervised techniques of text mining, i.e., document clustering methods are addressed. A new similarity measure between documents has been designed to improve the accuracy of measuring the content similarity between documents. Further, a hierarchical document clustering technique is designed using this similarity measure. The main significance of the clustering algorithm is that the number …
Wavelet Analysis On Local Fields Of Positive Characteristic., Quiser Jahan Dr.
Wavelet Analysis On Local Fields Of Positive Characteristic., Quiser Jahan Dr.
Doctoral Theses
In this chapter, we will give a brief history of wavelet analysis on R. We will also list some bask results on local felds which will be used in subvequent chapters.1.1 Wavelets on RWe fiest start with a brief history of wavelets und some basic defnitions and results conceming the orthonormal wavekts on R.1.1.1 A brief historyIn the last few decades vaveler theory has growa extensively and has drawn great atlention sot only in mathematies bu also in engineering, pitysics, computer science and many other fields. In signal and image processing, wavelets play a very important role.In 1910, A. Haar …
Complete And Partial Ordering Approaches In The Context Of Poverty Ordering And On The Impacts Of Growth And Inequality On Poverty., Sandip Sarkar Dr.
Complete And Partial Ordering Approaches In The Context Of Poverty Ordering And On The Impacts Of Growth And Inequality On Poverty., Sandip Sarkar Dr.
Doctoral Theses
No abstract provided.
Euler Class Groups Of Polynomial And Sub Integral Extensions Of A Noetherian Ring., Md. Ali Zinna Dr.
Euler Class Groups Of Polynomial And Sub Integral Extensions Of A Noetherian Ring., Md. Ali Zinna Dr.
Doctoral Theses
ObjectiveThe main objectives of this thesis are the following:(i) To investigate the behaviour of the Euler class groups under integral and subintegral extensions. More precisely, given a subintegral (or integral) extension R+ S of Noetherian rings, we are interested in finding out the relationship between the Euler class group of R and the Euler class group of S.(ii) To develop a theory (namely, an extension of the theory of Euler class group to the Euler class group of R[T) relative to a projective R[T|-module L of rank 1) in order to detect the precise obstruction for a projective R[T]-module P …
Modelling The Links Between Inflation, Output Growth, Inflation Uncertainty And Output Growth Uncertainty In The Frameworks Of Regime-Switching And Multiple Structural Breaks: Evidence From The G7 Countries., Kushal Banik Chowdhury Dr.
Modelling The Links Between Inflation, Output Growth, Inflation Uncertainty And Output Growth Uncertainty In The Frameworks Of Regime-Switching And Multiple Structural Breaks: Evidence From The G7 Countries., Kushal Banik Chowdhury Dr.
Doctoral Theses
One of the long-standing and most investigated issues in macroeconomics is the nature of the relationship between inflation and output growth. Given this relationship as a central point of intense interest, one strand of studies has focused on the levels of the two series, while, more recently, an overgrowing body of research has highlighted the importance of the effects which are due to both the levels and the uncertainties associated with these two variables. These studies raise a number of interesting issues regarding the relationship between inflation and output growth. First, is there any direct effect of inflation on output …
Essays On Incentive Compatibility On Restricted Domains., Anup Pramanik Dr.
Essays On Incentive Compatibility On Restricted Domains., Anup Pramanik Dr.
Doctoral Theses
This thesis comprises three chapters that investigate the structure of dominant strategy incentive compatible (strategy-proof) social choice functions on restricted domains. The first chapter deals with standard mechanism design problem in quasi-linear environments with multidimensional non-convex type spaces. It identifies a class of type spaces called ordinal type spaces and shows that the simple and familiar 2-cycle monotonicity condition is necessary and sufficient for implementation. This result covers the single-peaked domain. The second chapter deals with the standard social choice problem (no monetary transfers) but one where agents have indifference in their preference orderings generated via an exogenous partition of …
Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.
Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.
Doctoral Theses
A central problem in many subjects like matrix analysis, perturbation theory, numerical analysis and physics is to study the effect of small changes in a matrix A on a function f(A). Among much studied functions on the space of matrices are trace, determinant, permanent, eigenvalues, norms. These are real or complex valued functions. In addition, there are some interesting functions that are matrix valued. For example, the (matrix) absolute value, tensor power, antisymmetric tensor power, symmetric tensor power.When a function is differentiable, one of the ways to study the above problem is by using the derivative of f at A, …
Some Studies On Selected Stream Ciphers Analysis Fault Attack & Related Results., Subhadeep Banik Dr.
Some Studies On Selected Stream Ciphers Analysis Fault Attack & Related Results., Subhadeep Banik Dr.
Doctoral Theses
Stream Ciphers are important Symmetric Cryptological primitives, built for the purpose of providing secure message encryption. As no formal security proofs exist, our confidence in these algorithms is largely based on the fact that intense cryptanalysis has been carried out over several years without revealing any weakness. This thesis makes some independent contributions to the cryptanalysis of a selection of stream ciphers.In this thesis, we take a closer look at two stream ciphers viz. RC4+ designed by Maitra et al. at Indocrypt 2008 and GGHN designed by Gong et al. at CISC 2005. Both these ciphers were designed as viable …
Essays On Air Pollution, Global Warming And Agriculture Productivity., Ridhima Gupta Dr.
Essays On Air Pollution, Global Warming And Agriculture Productivity., Ridhima Gupta Dr.
Doctoral Theses
This dissertation consists of three chapters, each of which deals with a particular aspect of environmental policy. The first chapter focuses on the determinants of open-field burning of rice-residue with the aim of analysing possibilities for its regulation. Open field burning is the second-largest contributor to black carbon in South Asia, the second most important greenhouse agent after carbon dioxide. Thus, dealing with the problem of burning of rice residue will tackle a significant proportion of the black carbon emissions released into the atmosphere. The third chapter proposes a new approach for estimating the contribution of agricultural fires to atmospheric …
Generic Constructions Of Different Cryptographic Primitives Over Various Public Key Paradigms., Sumit Kumar Pandey Dr.
Generic Constructions Of Different Cryptographic Primitives Over Various Public Key Paradigms., Sumit Kumar Pandey Dr.
Doctoral Theses
In this thesis, we study the generic construction of some cryptographic primitives over various public key paradigms like traditional Public Key Cryptosystems and Identity Based Cryptosystems. It can be broadly divided into two categories1. Generic construction of some highly secure cryptographic primitives from less secure cryptographic primitives, and2. Generic construction of some complex cryptographic primitives from basic cryptographic primitives. Mathematical tools provide a way to achieve cryptographic functionality like confidentiality, authentication, data-integrity, non-repudiation etc., but in the case of complex cryptographic functionality like achieving confidentiality and authentication at the same time or confidentiality, authentication and non-repudiation at the same time …
Three Essays On The Impact Of Global Warming In India., Eshita Gupta Dr.
Three Essays On The Impact Of Global Warming In India., Eshita Gupta Dr.
Doctoral Theses
This dissertation consists of three chapters. The Örst chapter studies the impact of climate change on electricity demand in Delhi using daily data on electricity demand and apparent temperature for the period 2000-09. It estimates a semi-parametric variable coe¢ - cient model that allows for a non-linear relationship between temperature and electricity to shift over time, a feature that is necessary to incorporate given the rapid economic growth in India. As evident from previous studies, electricity demand is a U-shaped function of temperature. Three results from our analysis have important implications for electricityclimate policy: Firstly, the rising part of the …
Some Conjugacy Problems In Algebraic Groups., Anirban Bose Dr.
Some Conjugacy Problems In Algebraic Groups., Anirban Bose Dr.
Doctoral Theses
In this thesis we address two problems related to the study of algebraic groups and Lie groups. The first one deals with computation of an invariant called the genus number of a connected reductive algebraic group over an algebraically closed field and that of a compact connected Lie group. The second problem is about characterisation of real elements in exceptional groups of type F4 defined over an arbitrary field. Let G be a connected reductive algebraic group over an algebraically closed field or a compact connected Lie group. Let ZG(x) denote the centralizer of x ∈ G. Define the genus …