On Truncated Versions of Certain Measures of Inequality and Stability

The present study focuses attention on defining certain measures of income inequality for the truncated distributions and characterization of probability distributions using the functional form of these measures, extension of some measures of inequality and stability to higher dimensions, characterization of bivariate models using the above concepts and estimation of some measures of inequality using the Bayesian techniques. The thesis defines certain measures of income inequality for the truncated distributions and studies the effect of truncation upon these measures. An important measure used in Reliability theory, to measure the stability of the component is the residual entropy function. This concept can advantageously used as a measure of inequality of truncated distributions. The geometric mean comes up as handy tool in the measurement of income inequality. The geometric vitality function being the geometric mean of the truncated random variable can be advantageously utilized to measure inequality of the truncated distributions. The study includes problem of estimation of the Lorenz curve, Gini-index and variance of logarithms for the Pareto distribution using Bayesian techniques.

Effect of leaf extract of Aegle marmelose in diabetic rats

Alloxan induced animal model was used to evaluate the potential antidiabetic effect of A . marmelose leaf extract. The diabetic animals were given insulin injection and another group A . marmelose leaf extract orally. It maintained the weight of the animals near to the control rats but a significant decrease in weight was noted it diabetic animals without any treatment . The blood elucose level in 'treated animals were near to that of control ones. Also a significantly increased glucose tolerance was observed in animals orally given the leaf extract prior to the experiment . A significant decrease in liver glycogen ( 1.24 -.07 s!/ 100 g of wet tissue) was observed in diabetic rats which was brought to almost the normal level (I.84- . 14 g; 100 g) with Icaf extract treatment. Blood urea and serum cholesterol increased ( 62.66 - 3.50 and 192.67± 13.64 mg' dl) significantly in alloxxan diabetic rats . The leaf extract treatment decreased the blood urea and serum . cholesterol (37.83 - 3.97 and 99?0±8.43 mg/dl ) to that of control ones . A similar effect was seen with insulin treatment . The results indicate that the active principle in .4. marmelose leaf extract has similar hypoglycaemic activity to insulin treatment.

Species diversity and community structure of ichthyofauna in the seagrass ecosystem of Minicoy Atoll, Lakshadweep, India

Present study consists the species diversity, abundance and community structure of ichthyofauna in the seagrass meadow of Minicoy Atoll, Lakshadweep Islands. Two hundred and three species of fishes were recorded during the study, from four stations in the Atoll. They belonged to 2 classes, 11orders, 43 families and 93 genera. Six species belonged to the class Chondreichthyes and 197 species to Osteichthyes. Family Pomacentridae showed maximum abundance of species (22%). Station I, having close proximity to the coral reefs, observed the maximum number of families (37) and species (129) and that with minimum number was in station II (23 families and 52 species). Bray-Curtis similarity plot showed a similarity range of 22 to 52%, seasonally. Station I showed highest Shannon-Wiener diversity index (H’log2) (4.22) during August and the lowest (2.91) during June. Stations I and III showed comparatively higher abundance and diversity of fishes. Variability in seagrass habitat structure and the interaction with coral reefs influenced the species composition and diversity of fishes in Minicoy Atoll. The findings of the present investigation can be used as baseline information for the fishery resource management of the region