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A volume of this nature containing a collection of papers has been brought out to honour a gentleman - a friend and a colleague - whose work has, to a large extent, advanced and popularized the use of stochastic point processes. Professor Srinivasan celebrated his sixt~ first 1:!irth d~ on December 16,1990 and will be retiring as Professor of Applied Mathematics from the Indian Institute of Technolo~, Madras on June 30,1991. In view of his outstanding contributions to the theor~ and applications of stochastic processes over a time span of thirt~ ~ears, it seemed appropriate not to let his birth d~ and retirement pass unnoticed. A s~posium in his honour and the publication of the proceedings appeared to us to be the most natural and sui table ~ to mark the occasion. The Indian Societ~ for ProbabU it~ and Statistics volunteered to organize the S~posium as part of their XII Annual conference in Bomba~. We requested a number of long-time friends, colleagues and former students of Professor Srinivasan to contribute a paper preferabl~ in the area of stochastic processes and their applications. The positive response and the enthusiastic cooperation of these distinguished scientists have resulted in the present collection. The contributions to this volume are divided into four parts: Stochastic Theor~ (2 articles), P~sics (6 articles), Biolo~ (4 articles) and Operations Research (12 articles). In addition the ke~note address delivered b~ Professor Srinivasan in the S~posium is also included.
List of contents
1. Stochastic Theory.- The Square Wave Spectrum of a Markov Renewal Process.- Simulation and Estimation Procedures for Stress Release Models.- 2. Physics.- Positive Definite Functions in Quantum Mechanics and in Turbulence.- Population Monitoring and the Quantum Input-Output Formalism.- An Application of the Kalman Filter in Geoastronomy.- Conformai Martingales in Stochastic Mechanics.- Probability Distributions Over Noncommuting Variables.- Stochastic Quantum Mechanics.- 3. Biology.- A New Approach to the Solution of Neurological Models: Application to the Hodgkin-Huxley and the Fitzhugh-Nagumo Equations.- Neuronal Variability: Stochasticity or Chaos?.- A Limit Theorem and Asymptotical Statistical Characteristics for a Selective Interaction Model of a Single Neuron.- Phase Dependent Population Growth Models.- 4. Operations Research.- The Optimal Investment Process in German Industry.- Incentives and Regulation in Queues.- Two Models of Brand Switching.- Stochastic Processes: Use and Limitations in Reliability Theory.- Stochastic Processes and Optimization Problems in Assemblage Systems.- A Software Package Tool for Markovian Computing Models with Many States: Principles and its Applications.- Reliability Assessment Measurement for Redundant Software Systems.- A Lost Sales Inventory System with Multiple Reorder Levels.- Queueing Models in Hierarchical Planning Systems.- Reliability Analysis of a Complex System Using Boolean Function Technique.- The Second Moment of the Markovian Reward Process.- Correlation Functions in Reliability Theory.
