This volume deals with Stochastic tools with special reference to applications in the areas of Physics, Biology and Operations Research. Quitea few of the papers deal with the applications of the rich theory of point processes in Physics and Operations Research. A few of the papers deal with the problems of Inference and Stochastic theory. In addition papers of some leading specialists are included. These papers reflect the latest trends in these areas and will, therefore, be of value and interest to researchers in these fields.
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.