Income modeling using Quantile Functions

Department of Statistics, Cochin University of Science and Technology

Re-engineering and Re-defining University Libraries in the context of modern Information and Communication Technologies: a study with special reference to the University Libraries in Kerala

Information and communication technologies are the tools that underpin the emerging “Knowledge Society”. Exchange of information or knowledge between people and through networks of people has always taken place. But the ICT has radically changed the magnitude of this exchange, and thus factors such as timeliness of information and information dissemination patterns have become more important than ever.Since information and knowledge are so vital for the all round human development, libraries and institutions that manage these resources are indeed invaluable. So, the Library and Information Centres have a key role in the acquisition, processing, preservation and dissemination of information and knowledge. ln the modern context, library is providing service based on different types of documents such as manuscripts, printed, digital, etc. At the same time, acquisition, access, process, service etc. of these resources have become complicated now than ever before. The lCT made instrumental to extend libraries beyond the physical walls of a building and providing assistance in navigating and analyzing tremendous amounts of knowledge with a variety of digital tools. Thus, modern libraries are increasingly being re-defined as places to get unrestricted access to information in many formats and from many sources.The research was conducted in the university libraries in Kerala State, India. lt was identified that even though the information resources are flooding world over and several technologies have emerged to manage the situation for providing effective services to its clientele, most of the university libraries in Kerala were unable to exploit these technologies at maximum level. Though the libraries have automated many of their functions, wide gap prevails between the possible services and provided services. There are many good examples world over in the application of lCTs in libraries for the maximization of services and many such libraries have adopted the principles of reengineering and re-defining as a management strategy. Hence this study was targeted to look into how effectively adopted the modern lCTs in our libraries for maximizing the efficiency of operations and services and whether the principles of re-engineering and- redefining can be applied towards this.Data‘ was collected from library users, viz; student as well as faculty users; library ,professionals and university librarians, using structured questionnaires. This has been .supplemented by-observation of working of the libraries, discussions and interviews with the different types of users and staff, review of literature, etc. Personal observation of the organization set up, management practices, functions, facilities, resources, utilization of information resources and facilities by the users, etc. of the university libraries in Kerala have been made. Statistical techniques like percentage, mean, weighted mean, standard deviation, correlation, trend analysis, etc. have been used to analyse data.All the libraries could exploit only a very few possibilities of modern lCTs and hence they could not achieve effective Universal Bibliographic Control and desired efficiency and effectiveness in services. Because of this, the users as well as professionals are dissatisfied. Functional effectiveness in acquisition, access and process of information resources in various formats, development and maintenance of OPAC and WebOPAC, digital document delivery to remote users, Web based clearing of library counter services and resources, development of full-text databases, digital libraries and institutional repositories, consortia based operations for e-journals and databases, user education and information literacy, professional development with stress on lCTs, network administration and website maintenance, marketing of information, etc. are major areas need special attention to improve the situation. Finance, knowledge level on ICTs among library staff, professional dynamism and leadership, vision and support of the administrators and policy makers, prevailing educational set up and social environment in the state, etc. are some of the major hurdles in reaping the maximum possibilities of lCTs by the university libraries in Kerala. The principles of Business Process Re-engineering are found suitable to effectively apply to re-structure and redefine the operations and service system of the libraries. Most of the conventional departments or divisions prevailing in the university libraries were functioning as watertight compartments and their existing management system was more rigid to adopt the principles of change management. Hence, a thorough re-structuring of the divisions was indicated. Consortia based activities and pooling and sharing of information resources was advocated to meet the varied needs of the users in the main campuses and off campuses of the universities, affiliated colleges and remote stations. A uniform staff policy similar to that prevailing in CSIR, DRDO, ISRO, etc. has been proposed by the study not only in the university libraries in kerala but for the entire country.Restructuring of Lis education,integrated and Planned development of school,college,research and public library systems,etc.were also justified for reaping maximum benefits of the modern ICTs.

Personnel Management Practices in the Kerala based Scheduled commercial Banks

The thesis entitled Personnel Management Practices in the Kerala-Based Scheduled Commercial Banks. Personnel management function is of cardinal importance, requiring a sophisticated and scientific approach. In a labour-intensive, service industry like banking. Productivity and ultimate profitability of the entire organization depend considerably on the effectiveness with which personnel management function is executed; and the prudence with which personnel problems are handle. The main objectives of the study are to understand the current status of personnel management functions in the banks and to evaluate the practices in the light of the principles and theories of personnel management so as to identify the strengths and weaknesses. The universe of this study is the eight Scheduled Commercial Banks based in Kerala. The major limitation of the study is that as State Bank of Travancore, the lone public sector bank based in Kerala did not grant permission for collection of data, this study had to be confined to private sector banks only. Almost the entire data used for this study are primary and were collected from the files and other records or the concerned banks. This report has chapters dealing with the functional areas of personnel management such as determination of human resource requirements, recruitment and selection, training and development, performance appraisal, promotions and compensation. Findings reveal that the practice of personnel management in the Kerala-based private sector scheduled commercial banks has not gained a degree of sophistication compatible with its role in modern business management.

Jerim-320: A New 320-Bit Hash Function Compared To Hash Functions With Parallel Branches

This paper describes JERIM-320, a new 320-bit hash function used for ensuring message integrity and details a comparison with popular hash functions of similar design. JERIM-320 and FORK -256 operate on four parallel lines of message processing while RIPEMD-320 operates on two parallel lines. Popular hash functions like MD5 and SHA-1 use serial successive iteration for designing compression functions and hence are less secure. The parallel branches help JERIM-320 to achieve higher level of security using multiple iterations and processing on the message blocks. The focus of this work is to prove the ability of JERIM 320 in ensuring the integrity of messages to a higher degree to suit the fast growing internet applications

Bieberbach's Conjecture, the de Branges and Weinstein Functions and the Askey-Gasper Inequality

The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach in 1916 [Bieberbach1916]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function which maps the unit disk onto a radially slit plane. The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Louis de Branges in 1984 [deBranges1985] when some experts were rather trying to disprove it. It turned out that an inequality of Askey and Gasper [AskeyGasper1976] about certain hypergeometric functions played a crucial role in de Branges' proof. In this article I describe the historical development of the conjecture and the main ideas that led to the proof. The proof of Lenard Weinstein (1991) [Weinstein1991] follows, and it is shown how the two proofs are interrelated. Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer algebra come into the play, and computer demonstrations are given that show how important parts of the proofs can be automated.

A generalization of Student’s t-distribution from the viewpoint of special functions

Student’s t-distribution has found various applications in mathematical statistics. One of the main properties of the t-distribution is to converge to the normal distribution as the number of samples tends to infinity. In this paper, by using a Cauchy integral we introduce a generalization of the t-distribution function with four free parameters and show that it converges to the normal distribution again. We provide a comprehensive treatment of mathematical properties of this new distribution. Moreover, since the Fisher F-distribution has a close relationship with the t-distribution, we also introduce a generalization of the F-distribution and prove that it converges to the chi-square distribution as the number of samples tends to infinity. Finally some particular sub-cases of these distributions are considered.

Some New Classes of Orthogonal Polynomials and Special Functions

In dieser Dissertation präsentieren wir zunächst eine Verallgemeinerung der üblichen Sturm-Liouville-Probleme mit symmetrischen Lösungen und erklären eine umfassendere Klasse. Dann führen wir einige neue Klassen orthogonaler Polynome und spezieller Funktionen ein, welche sich aus dieser symmetrischen Verallgemeinerung ableiten lassen. Als eine spezielle Konsequenz dieser Verallgemeinerung führen wir ein Polynomsystem mit vier freien Parametern ein und zeigen, dass in diesem System fast alle klassischen symmetrischen orthogonalen Polynome wie die Legendrepolynome, die Chebyshevpolynome erster und zweiter Art, die Gegenbauerpolynome, die verallgemeinerten Gegenbauerpolynome, die Hermitepolynome, die verallgemeinerten Hermitepolynome und zwei weitere neue endliche Systeme orthogonaler Polynome enthalten sind. All diese Polynome können direkt durch das neu eingeführte System ausgedrückt werden. Ferner bestimmen wir alle Standardeigenschaften des neuen Systems, insbesondere eine explizite Darstellung, eine Differentialgleichung zweiter Ordnung, eine generische Orthogonalitätsbeziehung sowie eine generische Dreitermrekursion. Außerdem benutzen wir diese Erweiterung, um die assoziierten Legendrefunktionen, welche viele Anwendungen in Physik und Ingenieurwissenschaften haben, zu verallgemeinern, und wir zeigen, dass diese Verallgemeinerung Orthogonalitätseigenschaft und -intervall erhält. In einem weiteren Kapitel der Dissertation studieren wir detailliert die Standardeigenschaften endlicher orthogonaler Polynomsysteme, welche sich aus der üblichen Sturm-Liouville-Theorie ergeben und wir zeigen, dass sie orthogonal bezüglich der Fisherschen F-Verteilung, der inversen Gammaverteilung und der verallgemeinerten t-Verteilung sind. Im nächsten Abschnitt der Dissertation betrachten wir eine vierparametrige Verallgemeinerung der Studentschen t-Verteilung. Wir zeigen, dass diese Verteilung gegen die Normalverteilung konvergiert, wenn die Anzahl der Stichprobe gegen Unendlich strebt. Eine ähnliche Verallgemeinerung der Fisherschen F-Verteilung konvergiert gegen die chi-Quadrat-Verteilung. Ferner führen wir im letzten Abschnitt der Dissertation einige neue Folgen spezieller Funktionen ein, welche Anwendungen bei der Lösung in Kugelkoordinaten der klassischen Potentialgleichung, der Wärmeleitungsgleichung und der Wellengleichung haben. Schließlich erklären wir zwei neue Klassen rationaler orthogonaler hypergeometrischer Funktionen, und wir zeigen unter Benutzung der Fouriertransformation und der Parsevalschen Gleichung, dass es sich um endliche Orthogonalsysteme mit Gewichtsfunktionen vom Gammatyp handelt.

Duplication coefficients via generating functions

In this paper, we solve the duplication problem P_n(ax) = sum_{m=0}^{n}C_m(n,a)P_m(x) where {P_n}_{n>=0} belongs to a wide class of polynomials, including the classical orthogonal polynomials (Hermite, Laguerre, Jacobi) as well as the classical discrete orthogonal polynomials (Charlier, Meixner, Krawtchouk) for the specific case a = −1. We give closed-form expressions as well as recurrence relations satisfied by the duplication coefficients.

Heterochromatin und epigenetische Kontrolle der Centromere in Dictyostelium discoideum

Heterochromatin Protein 1 (HP1) is an evolutionarily conserved protein required for formation of a higher-order chromatin structures and epigenetic gene silencing. The objective of the present work was to functionally characterise HP1-like proteins in Dictyostelium discoideum, and to investigate their function in heterochromatin formation and transcriptional gene silencing. The Dictyostelium genome encodes three HP1-like proteins (hcpA, hcpB, hcpC), from which only two, hcpA and hcpB, but not hcpC were found to be expressed during vegetative growth and under developmental conditions. Therefore, hcpC, albeit no obvious pseudogene, was excluded from this study. Both HcpA and HcpB show the characteristic conserved domain structure of HP1 proteins, consisting of an N-terminal chromo domain and a C-terminal chromo shadow domain, which are separated by a hinge. Both proteins show all biochemical activities characteristic for HP1 proteins, such as homo- and heterodimerisation in vitro and in vivo, and DNA binding activtity. HcpA furthermore seems to bind to K9-methylated histone H3 in vitro. The proteins thus appear to be structurally and functionally conserved in Dictyostelium. The proteins display largely identical subnuclear distribution in several minor foci and concentration in one major cluster at the nuclear periphery. The localisation of this cluster adjacent to the nucleus-associated centrosome and its mitotic behaviour strongly suggest that it represents centromeric heterochromatin. Furthermore, it is characterised by histone H3 lysine-9 dimethylation (H3K9me2), which is another hallmark of Dictyostelium heterochromatin. Therefore, one important aspect of the work was to characterise the so-far largely unknown structural organisation of centromeric heterochromatin. The Dictyostelium homologue of inner centromere protein INCENP (DdINCENP), co-localized with both HcpA and H3K9me2 during metaphase, providing further evidence that H3K9me2 and HcpA/B localisation represent centromeric heterochromatin. Chromatin immunoprecipitation (ChIP) showed that two types of high-copy number retrotransposons (DIRS-1 and skipper), which form large irregular arrays at the chromosome ends, which are thought to contain the Dictyostelium centromeres, are characterised by H3K9me2. Neither overexpression of full-length HcpA or HcpB, nor deletion of single Hcp isoforms resulted in changes in retrotransposon transcript levels. However, overexpression of a C-terminally truncated HcpA protein, assumed to display a dominant negative effect, lead to an increase in skipper retrotransposon transcript levels. Furthermore, overexpression of this protein lead to severe growth defects in axenic suspension culture and reduced cell viability. In order to elucidate the proteins functions in centromeric heterochromatin formation, gene knock-outs for both hcpA and hcpB were generated. Both genes could be successfully targeted and disrupted by homologous recombination. Surprisingly, the degree of functional redundancy of the two isoforms was, although not unexpected, very high. Both single knock-out mutants did not show any obvious phenotypes under standard laboratory conditions and only deletion of hcpA resulted in subtle growth phenotypes when grown at low temperature. All attempts to generate a double null mutant failed. However, both endogenous genes could be disrupted in cells in which a rescue construct that ectopically expressed one of the isoforms either with N-terminal 6xHis- or GFP-tag had been introduced. The data imply that the presence of at least one Hcp isoform is essential in Dictyostelium. The lethality of the hcpA/hcpB double mutant thus greatly hampered functional analysis of the two genes. However, the experiment provided genetic evidence that the GFP-HcpA fusion protein, because of its ability to compensate the loss of the endogenous HcpA protein, was a functional protein. The proteins displayed quantitative differences in dimerisation behaviour, which are conferred by the slightly different hinge and chromo shadow domains at the C-termini. Dimerisation preferences in increasing order were HcpA-HcpA << HcpA-HcpB << HcpB-HcpB. Overexpression of GFP-HcpA or a chimeric protein containing the HcpA C-terminus (GFP-HcpBNAC), but not overexpression of GFP-HcpB or GFP-HcpANBC, lead to increased frequencies of anaphase bridges in late mitotic cells, which are thought to be caused by telomere-telomere fusions. Chromatin targeting of the two proteins is achieved by at least two distinct mechanisms. The N-terminal chromo domain and hinge of the proteins are required for targeting to centromeric heterochromatin, while the C-terminal portion encoding the CSD is required for targeting to several other chromatin regions at the nuclear periphery that are characterised by H3K9me2. Targeting to centromeric heterochromatin likely involves direct binding to DNA. The Dictyostelium genome encodes for all subunits of the origin recognition complex (ORC), which is a possible upstream component of HP1 targeting to chromatin. Overexpression of GFP-tagged OrcB, the Dictyostelium Orc2 homologue, showed a distinct nuclear localisation that partially overlapped with the HcpA distribution. Furthermore, GFP-OrcB localized to the centrosome during the entire cell cycle, indicating an involvement in centrosome function. DnmA is the sole DNA methyltransferase in Dictyostelium required for all DNA(cytosine-)methylation. To test for its in vivo activity, two different cell lines were established that ectopically expressed DnmA-myc or DnmA-GFP. It was assumed that overexpression of these proteins might cause an increase in the 5-methyl-cytosine(5-mC)-levels in the genomic DNA due to genomic hypermethylation. Although DnmA-GFP showed preferential localisation in the nucleus, no changes in the 5-mC-levels in the genomic DNA could be detected by capillary electrophoresis.

Functions satisfying holonomic q-differential equations

In a similar manner as in some previous papers, where explicit algorithms for finding the differential equations satisfied by holonomic functions were given, in this paper we deal with the space of the q-holonomic functions which are the solutions of linear q-differential equations with polynomial coefficients. The sum, product and the composition with power functions of q-holonomic functions are also q-holonomic and the resulting q-differential equations can be computed algorithmically.

Prognosemethode für das Schutzgut ‚Landschaft’ im Rahmen der Strategischen Umweltprüfung

Im Mittelpunkt der Dissertation stehen das Schutzgut ‚Landschaft’ sowie ‚Prognosemethoden in der Umweltprüfung’. Mit beiden Themenbereichen verbinden sich bereits heute ungelöste methodische Probleme, die mit der Umsetzung der Richtlinie zur Strategischen Umweltprüfung (SUP) zusätzlich komplexer und deren Lösung mithin anspruchsvoller werden. Dies hängt einerseits damit zusammen, dass eine gesetzeskonforme Gleichbehandlung aller Schutzgüter zunehmend eingefordert wird und gerade das Schutzgut ‚Landschaft’ in einer SUP methodisch besondere Aufmerksamkeit verlangt. Zum anderen führt die gängige planungsmethodische Diskussion allein nicht zu geeigneten Antworten auf o.g. Fragen, und es bedarf der Prüfung verschiedener Methodenbausteine, auch aus anderen Wissensgebieten, um – über ein eindimensionales Landschaftsverständnis einerseits und die bisher bekannten linearen Wirkungsprognosen andererseits hinaus gehend – mehrfach verknüpfte Prognoseschritte zur Anwendung in der SUP zu entwickeln, in denen das Schutzgut ‚Landschaft’ modellhaft für Bewertungsschritte nachvollziehbar abgebildet wird. Hierbei müssen entscheidungsrelevante Prognosezeiträume ebenso beachtet werden, wie in diesen Zeiträumen möglicherweise auftretende sekundäre, kumulative, synergetische, positive und negative Auswirkungen der zu beurteilenden Planung. Dieser Ziel- und Aufgabenstellung entsprechend erfolgt die theoretische Herangehensweise der Arbeit von zwei Seiten: 1. Die Funktionen und Stellung von Prognosen innerhalb der SUP wird erläutert (Kap. 2), und es wird der Frage nachgegangen, welche Anforderungen an Prognosemethoden zu stellen sind (Kap. 2.4) und welche Prognosemethoden in der SUP Verwendung finden bzw. finden können (Kap. 3). Der Schwerpunkt wird dabei auf die Anwendung der Szenariotechnik gelegt. 2. Es wird dargestellt wie Landschaft für Aufgaben der Landschaftsplanung und Umweltprüfung bisher üblicherweise erfasst und analysiert wird, um in Prognoseschritten handhabbar behandelt zu werden (Kap. 4). Beide Zugänge werden sodann zusammengeführt (Kap. 5), um am Beispiel einer Hochwasserschutzkonzeption im Rahmen der SUP Landschaftliche Prognosen zu erarbeiten. Die Prognose setzt methodisch mit der Beschreibung des zu verwendenden Landschaftsmodells und der Klärung des Modellzwecks ein. Bezugsbasis ist die Beschreibung des Charakters einzelner logisch hergeleiteter Landschaftseinheiten bzw. Landschaftsräume, die typisiert werden. Die Prognose selber unterscheidet zwischen der Abschätzung zu erwartender Landschaftsveränderungen im Sinne der ‚Status-quo-Prognose’ (einschließlich der Entwicklung von drei Szenarien möglicher Zukunftslandschaften bis 2030) und der Wirkungsabschätzungen verschiedener Maßnahmen bzw. Planungsalternativen und zwar zunächst raumunabhängig, und dann raumkonkret. Besondere Bedeutung bei den Wirkungsabschätzungen erhält die klare Trennung von Sach- und Wertebene, eine angemessene Visualisierung und die Dokumentation von Informationslücken und Unsicherheiten bei der Prognose. Diskutiert wird u.a. (Kap. 6) · die Bildung und Abgrenzung landschaftlicher Einheiten und Typen in Bezug zu der Aufgabe, landschaftliche Eigenart zu definieren und planerisch handhabbar und anwendbar zu bestimmen, · die Bedeutung angemessener Visualisierung zur Unterstützung von Beteiligungsverfahren und · die Bestimmung des so genannten ‚Raumwiderstandes’. Beigefügt sind zwei Karten des gesamten Bearbeitungsgebietes: Karte 1 „Landschaftstypen“, Karte 2 „Maßnahmentypen des Hochwasserschutzes mit möglichen Synergieeffekten für die Landschaft“.

Thermodynamic functions of element 105 in neutral and ionized states

The basic thermodynamic functions, the entropy, free energy, and enthalpy, for element 105 (hahnium) in electronic configurations d^3 s^2, d^3 sp, and d^4s^1 and for its +5 ionized state (5f^14) have been calculated as a function of temperature. The data are based on the results of the calculations of the corresponding electronic states of element 105 using the multiconfiguration Dirac-Fock method.

Priors Stabilizers and Basis Functions: From Regularization to Radial, Tensor and Additive Splines

We had previously shown that regularization principles lead to approximation schemes, as Radial Basis Functions, which are equivalent to networks with one layer of hidden units, called Regularization Networks. In this paper we show that regularization networks encompass a much broader range of approximation schemes, including many of the popular general additive models, Breiman's hinge functions and some forms of Projection Pursuit Regression. In the probabilistic interpretation of regularization, the different classes of basis functions correspond to different classes of prior probabilities on the approximating function spaces, and therefore to different types of smoothness assumptions. In the final part of the paper, we also show a relation between activation functions of the Gaussian and sigmoidal type.

Hilbert space on probability density functions with Aitchison geometry

Compositional data analysis motivated the introduction of a complete Euclidean structure in the simplex of D parts. This was based on the early work of J. Aitchison (1986) and completed recently when Aitchinson distance in the simplex was associated with an inner product and orthonormal bases were identified (Aitchison and others, 2002; Egozcue and others, 2003). A partition of the support of a random variable generates a composition by assigning the probability of each interval to a part of the composition. One can imagine that the partition can be refined and the probability density would represent a kind of continuous composition of probabilities in a simplex of infinitely many parts. This intuitive idea would lead to a Hilbert-space of probability densities by generalizing the Aitchison geometry for compositions in the simplex into the set probability densities

Comparing methods for dimensionality reduction when data are density functions

Functional Data Analysis (FDA) deals with samples where a whole function is observed for each individual. A particular case of FDA is when the observed functions are density functions, that are also an example of infinite dimensional compositional data. In this work we compare several methods for dimensionality reduction for this particular type of data: functional principal components analysis (PCA) with or without a previous data transformation and multidimensional scaling (MDS) for diferent inter-densities distances, one of them taking into account the compositional nature of density functions. The difeerent methods are applied to both artificial and real data (households income distributions)