A Study on the Reversed Lack of Memory Property and its Generalizations

In this thesis, the concept of reversed lack of memory property and its generalizations is studied.We we generalize this property which involves operations different than the ”addition”. In particular an associative, binary operator ” * ” is considered. The univariate reversed lack of memory property is generalized using the binary operator and a class of probability distributions which include Type 3 extreme value, power function, reflected Weibull and negative Pareto distributions are characterized (Asha and Rejeesh (2009)). We also define the almost reversed lack of memory property and considered the distributions with reversed periodic hazard rate under the binary operation. Further, we give a bivariate extension of the generalized reversed lack of memory property and characterize a class of bivariate distributions which include the characterized extension (CE) model of Roy (2002a) apart from the bivariate reflected Weibull and power function distributions. We proved the equality of local proportionality of the reversed hazard rate and generalized reversed lack of memory property. Study of uncertainty is a subject of interest common to reliability, survival analysis, actuary, economics, business and many other fields. However, in many realistic situations, uncertainty is not necessarily related to the future but can also refer to the past. Recently, Di Crescenzo and Longobardi (2009) introduced a new measure of information called dynamic cumulative entropy. Dynamic cumulative entropy is suitable to measure information when uncertainty is related to the past, a dual concept of the cumulative residual entropy which relates to uncertainty of the future lifetime of a system. We redefine this measure in the whole real line and study its properties. We also discuss the implications of generalized reversed lack of memory property on dynamic cumulative entropy and past entropy.In this study, we extend the idea of reversed lack of memory property to the discrete set up. Here we investigate the discrete class of distributions characterized by the discrete reversed lack of memory property. The concept is extended to the bivariate case and bivariate distributions characterized by this property are also presented. The implication of this property on discrete reversed hazard rate, mean past life, and discrete past entropy are also investigated.

A Quantile based analysis of income data

Dept. of Statistics, CUSAT

An Evaluation of Extension Activities in the Development of Aquaculture in Kerala

Aquaculture is one of the prime catalysts for the socio-economic development of Indian economy contributing to the nations food and nutritional security, export earnings, income and employment generation. In this study an evaluation of extension activities in the development of aquaculture in Kerala. This study was conducted with a view to examine how the Kerala fisheries department offered extension services to the aquaculture farmers in the freshwater and brackish water sectors of the state through various agencies like Fish Farmers Development Agency(FFDA), Brackish water Fish Farmers Development Agency (BFFDA). In this study there are 3 category of respondent’s fresh water beneficiary farmers, brackish water beneficiary farmers and fisheries extension officers. The main motive of the thesis is to make an attempt to explore the responses of local producers to the extension programs of the state with special reference to the aquaculture sector of Kerala, India. The most important technical constraint faced by the fresh water farmers was lack of knowledge followed by non-availability of quality seeds. In the case of brackish water farming, it was infection of disease followed by lack of knowledge. The overall activities of the department of fisheries were ‘fairly good’. It indicate the need for improvements in the delivery of extension services to various target groups. The state fisheries department has already moving towards evolving these modes of extension activities by community participation.

Personal Finance of Gazetted Officers in Kerala

The purpose of personal financial management is achievement of personal financial freedom. It is a stage where finance will not be a hindrance against the fulfilment ofthe financial objectives of persons. After counting individual values and preferences we arrive at a standard or normal financial behaviour. Even though individuals differ in their tastes and preferences, there are a very large amount of commonality among them. The financial manager should list out the various financial objectives ofthe family. Then he should make the best choice from among the various alternatives on a priority based system. In short personal finance is concerned with the way in which a person manages his income and expenditure to achieve his personal financial objectives. Thus a proper personal financial planning is essential in every family for attaining financial discipline in the family. The fall ofthejoint family system, the growing financial responsibilities of modern families, limited chance ofincreasing income, growing population, financial insecurity of the government employees, lack of financial freedom, lack of proper personal financial practice and its awareness, the growing suicide rate on account offinancial crisis etc.,make the study a necessity

Social Structural Determinants of Education among Tribes in Kerala

The study is focused on education of tribes particularly the problem of high dropout rate existing among the tribal students at school level. Scheduled Tribe is one of the marginalized communities experiencing high level of educational deprivation. The analysis of the study shows that the extent of deprivation existing among STs of Kerala is much higher compared to that of other communities. The present study covered tribes of three tribal predominant districts of Kerala such as Idukki, Palakkad and Wayanad. Out of the 35 tribal communities in the State, 17 of them are concentrated in these districts. Tribes concentrated in Idukki include Muthuvans, Malai Arayan, Uraly, Mannan and Hill Pulaya. The present study analyzed dropouts situation in tribal areas of Kerala by conducting Field Survey among dropout and non-dropout students at school level. High dropouts among STs persist due to many problems which are of structural in nature. Important problems faced by the tribal students that have been analyzed, this can be classified as economic, social, cultural and institutional. It is found that there exists high correlation between Income and expenditure of the family with the well-being of individuals. Significant economic factors are poverty and financial indebtedness of the family. Some of the common cultural factors of tribes are Nature of Habitation, Difference in Dialect and Medium of Instruction etc. Social factors analyzed in the study are illiteracy of parents, migration of family, family environment, motivation by parents, activities engaged in for helping the family and students’ lack of interest in studies. The analysis showed that all these factors except migration of the family, are affecting the education of tribal students. Apart from social, economic and cultural factors, there are a few institutional factors which will also influence the education of tribal students. Institutional factors analyzed in the study include students’ absenteeism, irregularity of teachers, attitude of non-tribal teachers and non-tribal students, infrastructure facilities and accessibility to school. The study found irregularity of students and accessibility to school as significant factors which determine the dropout of the students.