Accession Number:

ADA158645

Title:

A Five-Parameter Family of Probability Distributions. Revision. 1.

Descriptive Note:

Research memo.,

Corporate Author:

PURDUE UNIV LAFAYETTE IN SCHOOL OF INDUSTRIAL ENGINEERING

Personal Author(s):

Report Date:

1985-08-01

Pagination or Media Count:

26.0

Abstract:

A tractable, five-parameter family of continuous, unimodal probability distributions is developed. Special cases include the Bernoulli trial, uniform, power series, exponential, triangular and Laplace double exponential distributions. The family has closed-form density function, cumulative distribution function, inverse cumulative distribution function, hazard function, and residual moments. Statistical properties, parameter determination and random variate generation are discussed. Two numerical examples are given. Additional keywords Input modeling Monte Carlo method Process generation Simulation Statistical modeling.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE