Characterization of Probability Distributions Using the Residual Entropy Function

The present study on the characterization of probability distributions using the residual entropy function. The concept of entropy is extensively used in literature as a quantitative measure of uncertainty associated with a random phenomenon. The commonly used life time models in reliability Theory are exponential distribution, Pareto distribution, Beta distribution, Weibull distribution and gamma distribution. Several characterization theorems are obtained for the above models using reliability concepts such as failure rate, mean residual life function, vitality function, variance residual life function etc. Most of the works on characterization of distributions in the reliability context centers around the failure rate or the residual life function. The important aspect of interest in the study of entropy is that of locating distributions for which the shannon’s entropy is maximum subject to certain restrictions on the underlying random variable. The geometric vitality function and examine its properties. It is established that the geometric vitality function determines the distribution uniquely. The problem of averaging the residual entropy function is examined, and also the truncated form version of entropies of higher order are defined. In this study it is established that the residual entropy function determines the distribution uniquely and that the constancy of the same is characteristics to the geometric distribution

Studies on the haemolymph of penaeus indicus H. MILNE EDWARDS

The objective of the study isto determine the average quantity of certain biochemical constituents of the haemolymph of Penaeus indicus and to verify the importanceof the simple correlation between the quantity or content of the biochemical constituents in the haemolymph and the size of the species, sex, moult and reproductive stages. The biochemical constituents studied are protein, free amino acids, glucose, total lipids, cholesterol, calcium, zinc, iron and manganese. The study Identifies the species specific haemolymph protein pattern by electrophoresis and determines the qualitative variations of haemolymph proteins with respect to sex, size, moult and reproductive stages. Major protein components such as hemocyanin and female specific protein are determined with a view to understand their function. The thesis also identifies the circulating haemocytes with a view to understand their specific role in the various physiological functions of the species. The thesis is presented in three chapters. Each chapter has an introduction to the particular aspect of study which includes a review of literature, methodology adopted for the study, the results obtained and discussion on the subject. The first Chapter deals with the biochemical constituents of the haemolymph, the second includes electrophoretic characterization of proteins in the haemolymph and the third Chapter deals with haemocyte identification and classification. A summary of the thesis and literature cited in the text are listed at the end.

Studies on some aspect of biology and utilisation of mantis-Shrimp Oratosquilla nepa(LATREILLA) (Crutacea stomatopoda)

The thesis is a study undertaken to understand the distribution pattern of Q nega in Cochin waters for better exploitation of the resource and to learn the biological aspects of the animal which has a direct bearing on its utilization for producing different products .The study also presents a thorough knowledge on the size groups available during different seasons for judicious exploitation and utilization of the resource and the changes in the biochemical composition of Q nega during different seasons so as to utilize it properly for producing suitable products throughout the year. The thesis also tests the suitability of the material for producing different products and to test the acceptability of the same for human consumption. The study also aims to show that Squilla can be utilized for the production of industrial products like chitin and chitosan.

Legislative conflicts in india

The subject-wise distribtion of legislative competence among the three legislative jurisdictions, union, state and concurrent, gives rise to a problem of legislative conflicts in India. There does not seem to have been any study exclusively devoted to this aspect of Indian federalism. This study is an attempt in that direction. The study has been broadly divided into three parts after an historical introduction in chapter I. Chapters II to VIII deal with conflicts between the exclusive fields, chapters IX and X with conflicts in the concurrent field, and chapter XI with conflicts between the exclusive and concurrent fields. In the last chapter, i.e, chapter XII, has been collected together some conclusions which in most cases have also been noted in the course of the study

Nutritional Requirements Of The Fry Of Gold-Spot Mullet Liza Parsa (Hamilton)

Most tropical aquatic environments are naturally fertile and their natural fertility is renewed very rapidly. Natural food for many cultivable organisms can be grown to the maximum by proper management. However, enrichment of the environment can be done through rational fertilization. Still further increase in stocking rates, can yield increased crop if adequate feeding is done. Thus fish and shellfish nutrition is an important aspect of the multidisciplinary subject of aquaculture. The oldest and most classical studies in physiology have investigated the nutritional needs of the species of interest to aquaculture. The alimentary requirements for proteins, lipids, mineral salts and vitamins have been established for some temperate species. But, the nutritional requirements of only few tropical species have been studied. Before formulating a diet, a thorough knowledge of the nutrient requirement of the species is essential. It is against this background that the present area of investigation has been identified. "Nutritional requirements of the fry of gold-spot mullet Liza parsia" is a comprehensive attempt to quantify the nutritional factors that are essential for producing healthy fingerlings for stocking the farms. Aspects such as the protein and lipid requirements of the fry, the vitamin essentiality, nutritive evaluation of protein and lipid sources suitable for compounding diets were covered in this research project. The ultimate aim has been to evolve practical diets which could be applied in the nursery phase for juvenile production.