Accession Number : ADA119336

Title :   Simple Dependent Pairs of Exponential and Uniform Random Variables.

Descriptive Note : Technical rept.,


Personal Author(s) : Lawrance,A J ; Lewis,P A W

PDF Url : ADA119336

Report Date : Mar 1982

Pagination or Media Count : 39

Abstract : A random-coefficient linear function of two independent exponential variables yielding a third exponential variable is used in the construction of simple, dependent pairs of exponential variables. By employing antithetic exponential variables, the constructions are developed to encompass negative dependency. By employing negative exponentiation, the constructions yield simple multiplicative-based models for dependent uniform pairs. The ranges of dependency allowable in the models are assessed by correlation calculations, both of the product moment and Spearman types; broad ranges within the theoretically allowable ranges are found. Because of their simplicity, all models are particularly suitable for simulation and are free of point and line concentrations of values.

Descriptors :   *Bivariate analysis, *Random variables, *Mathematical models, Exponential functions, Computations, Coefficients, Functions(Mathematics), Linear systems, Correlation techniques

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE