EXPERIMENTAL COMPARISON OF MONTE-CARLO SAMPLING TECHNIQUES TO EVALUATE THE MULTIVARIATE NORMAL INTEGRAL

Abstract

The present study compares techniques for estimating manpower requirements where a number of individually varying skills, performance potentials, background and behavioral factors must be considered. The specific objective was to evaluate two different numerical methods for estimating probability when a multivariate normal model (for example, one involving scores on a battery of tests) can be assumed. In a series of simulation experiments in which random vector observations were generated, probability estimates were computed by each of the two methods. Probability regions on which the experiments were based were chosen to have a variety of properties. The precision of the two methods was compared from the magnitudes of the variances of the probability estimates over independent samples. Results indicated that when the probability region is very small, the more complex of the two methods (importance sampling) is superior; but when the sampling approximation is poor, the precision of the probability estimates favors the simpler Monte-Carlo procedure. The computational procedures developed appear to be practical methods of estimating probability based on multiple scores for individuals in a sample population.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0695672

Entities

People

  • Elizabeth N. Abbe

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Army Personnel
  • Behavioral Sciences
  • Computations
  • Data Science
  • Information Science
  • Manpower
  • Monte Carlo Method
  • Normal Distribution
  • Personnel Management
  • Probability
  • Probability Density Functions
  • Random Variables
  • Sampling
  • Simulations
  • Statistical Sampling
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.