Accession Number:

AD0672956

Title:

DESCRIPTION OF THE PROGRAM ESOD-3 FOR CALCULATING CONSTRAINED MAXIMUM LIKELIHOOD ESTIMATES OF N STOCHASTICALLY ORDERED DISTRIBUTIONS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Azen,S. P.

Report Date:

1968-07-01

Pagination or Media Count:

84.0

Abstract:

A detailed description is given of the FORTRAN IV computer program for calculating constrained maximum likelihood estimates of N stochastically ordered distributions. It was shown in AD-672 954 that the reformulation of the statistical problem as a concave program, and the reduction of the resulting constrained problem to a sequence of essentially unconstrained subproblems, yields satisfying numerical results. The ESOD-3 program of this reduction strategy, which incorporates an already existing nonlinear programming routine, reduces the execution time and improves the accuracy of the problem by orders of magnitude. Since formulas are already known for the step function maximum likelihood estimates for the case where N equals 2, the program is concerned exclusively with the case where N is equal to or greater than 3. Author

Descriptors:

• (*STATISTICAL ANALYSIS
• *RELIABILITY)
• (*COMPUTER PROGRAMMING
• STATISTICAL ANALYSIS)
• STATISTICAL DISTRIBUTIONS
• STATISTICAL PROCESSES
• STOCHASTIC PROCESSES
• NONLINEAR PROGRAMMING
• ITERATIONS
• OPTIMIZATION
• ALGORITHMS
• COMPUTER PROGRAMS

Subject Categories:

• Operations Research
• Computer Programming and Software
• Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE