(1) Universidad de Concepción, Chile;(2) Departmento de Estadistica, Facultad de Ciencias Físicas y Matemáticas, Barrio Universitario, 160-C, Concepción Casilla, Chile
Abstract:
We compare the Fisher information (FI) contained in the firstn record values and record times with the FI inn i. i. d. observations. General results are established for exponential family and Weibull type setups, and a summary table
is provided listing several common distributions. We show that the FI in record data improves notably once the record times
are included, often changing from being less to being equal or greater than the FI in a random sample of the same size. The
behavior in the Weibull case is surprising. There it depends onn, whether the record or the i.i. d. observations have more FI. We propose new estimators based on record data. The results
may be of interest in some life testing situations.
Supported in part by Fondo Nacional de Desarrollo Cientifico y Tecnologico (FONDECYT) grant # 1010222 of Chile.