Sequential probability ratio tests for the shape parameter of one or more nonhomogeneous Poisson processes, with power intensity functions, are provided. The tests can be performed when the scale parameter is an unknown nuisance parameter; the effective loss of not knowing the scale parameter is one observation per process. The resulting tests can be expressed in terms of the maximum likelihood estimators of the shape parameters for the usual fixed sample procedure. A further advantage of the present approach is that the scale parameters for different processes, in the multiple sample procedures, need not be equal. Approximations for the operating characteristic function and the average sample number are provided. Copyright © 1982 by The Institute of Electrical and Electronics Engineers, Inc.


Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Keywords and Phrases

Nonhomogeneous Poisson process; Sequential tests; Shape parameter

International Standard Serial Number (ISSN)

1558-1721; 0018-9529

Document Type

Article - Journal

Document Version


File Type





© 2023 Institute of Electrical and Electronics Engineers, All rights reserved.

Publication Date

01 Jan 1982