Statistical Papers

, Volume 38, Issue 4, pp 409–421

A test for randomness of the environments in a branching process

Authors

  • Mohan Kale
    • Department of StatisticsUniversity of Pune
  • T. V. Ramanathan
    • Department of StatisticsUniversity of Pune
Articles

DOI: 10.1007/BF02925997

Cite this article as:
Kale, M. & Ramanathan, T.V. Statistical Papers (1997) 38: 409. doi:10.1007/BF02925997

Abstract

This paper discusses an approximate score test for testing randomness of environments in a branching process without observing the environments. Using an appropriate martingale central limit theorem the asymptotic null distribution of test statistic is shown to be normal. When the offspring distribution is Poisson, the detail derivation of asymptotic distribution of the test statistic is presented.

Key words

Random environments branching process Martingale central limit theorem score test

Copyright information

© Springer-Verlag 1997