Research in Stochastic Processes.

Abstract

Research was conducted and directed in the area of stochastic processes by three Principal Investigators and their associates, and in estimation in statistical models. The main areas of research activity for each Principal Investigator and co-workers are as follows: (1) Asymptotic optimal quantizers, complex symmetric stable variables and processes, prediction and representation of stable processes, nonparametric spectral density estimation for stable processes, delayed delta and pulse code modulation; (2) Feynman integrals, stochastic nonlinear filtering, stationary random fields, stochastic differential equations and diffusion approximation models for neuron activity, white noise and generalized Brownian functionals, stochastic Radon transforms, splicing of measures; and (3) Extreme values of stationary stochastic sequences and processes, dependence structure of stochastic processes, extremes of non-stationary normal sequences, estimation of point process intensities.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1982
Accession Number
ADA136222

Entities

People

  • G. Kallianpur
  • M. Ross Leadbetter
  • Raymond J. Carroll
  • S. Cambanis

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Differential Equations
  • Equations
  • Estimators
  • Information Science
  • Integrals
  • Mathematical Filters
  • North Carolina
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistics
  • Stochastic Processes
  • Students
  • Surveys
  • White Noise

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Calculus or Mathematical Analysis