Testing Isotropy and a related Random Walk problem

One comes across directions as the observations in a number of situations. The first inferential question that one should answer when dealing with such data is, “Are they isotropic or uniformly distributed?” The answer to this question goes back in history which we shall retrace a bit and provide an exact and approximate solution to this so-called “Pearson’s Random Walk” problem.

Marine Microalgae in the EEZ of India

As the title of the thesis indicates, a detailed analysis of microalgae, the major primary producers and the first link in aquatic food chains, was carried out during this study. Microalgae are either planktonic or benthic. The studies on these microscopic autotrophs are having an upsurge of interest recently due to their variations, adaptations, short generation time and various utilitarian aspects, including food, fodder and fuel. The surface water samples collected during the cruises (cruise nos. 189, 193, 195, 196, 203, 204, 205, 207 and 209) of Fisheries and Oceanographic Research Vessel (FORV) Sagar Sampada (Fig.2.2), conducted during the period from November 2000 to November 2002, are used as samples for microalgal estimation in the EEZ of India. The present research work includes the identification and distributional pattern of planktonic microalgae in the EEZ of India. The blooms encountered during the above mentioned cruises of FORV Sagar Sampada and the blooms of Kerala coast during the period from 2001-2005 are also studied

Agent Based Simulation of Street Robbery

Routine activity theory introduced by Cohen& Felson in 1979 states that criminal acts are caused due to the presenceof criminals, vic-timsand the absence of guardians in time and place. As the number of collision of these elements in place and time increases, criminal acts will also increase even if the number of criminals or civilians remains the same within the vicinity of a city. Street robbery is a typical example of routine ac-tivity theory and the occurrence of which can be predicted using routine activity theory. Agent-based models allow simulation of diversity among individuals. Therefore agent based simulation of street robbery can be used to visualize how chronological aspects of human activity influence the incidence of street robbery.The conceptual model identifies three classes of people-criminals, civilians and police with certain activity areas for each. Police exist only as agents of formal guardianship. Criminals with a tendency for crime will be in the search for their victims. Civilians without criminal tendencycan be either victims or guardians. In addition to criminal tendency, each civilian in the model has a unique set of characteristicslike wealth, employment status, ability for guardianship etc. These agents are subjected to random walk through a street environment guided by a Q –learning module and the possible outcomes are analyzed