The Effect of Assuming a Homogeneous Poisson Process When the True Process is a Power Law Process

Article

Rigdon, Steve E.; Basu, Asit P.   (1990, ASQC)   Southern Illinois University at Edwardsville, Edwardsville, IL; University of Missouri, Columbia, MO

Journal of Quality Technology    Vol. 22    No. 2
QICID: 11296    April 1990    pp. 111-117
List $10.00
Member $5.00

FOR A LIMITED TIME, ACCESS TO THIS CONTENT IS FREE!
You will need to be signed in.
New to ASQ? Register here.

Article Abstract

The homogeneous Poisson is the simplest model for describing the random occurrences of events in time, such as the failure times of a repairable system. A more complex model, which includes the homogeneous Poisson process as a special case, is the power law process. What is the effect if the simpler homogeneous Poisson process is assumed, when in reality the process is a power law process? In this article, the effect of this erroneous assumption on estimation of the intensity function at the current time is studied. The effects on point and interval estimation are discussed for situations in which the data are either failure truncated or time truncated.

Keywords

Poisson distribution


Browse QIC Articles Chronologically:     Previous Article     Next Article

New Search

Featured advertisers





ASQ is a global community of people passionate about quality, who use the tools, their ideas and expertise to make our world work better. ASQ: The Global Voice of Quality.