Second-order (s.o.) multi-stage fixed-width confidence interval (FWCI) estimation strategies for comparing location parameters from two negative exponential (NE) populations: illustrations with cancer data.

Autor: Mukhopadhyay, Nitis, Aloufi, Anhar
Předmět:
Zdroj: Metrika; Aug2024, Vol. 87 Issue 6, p649-680, 32p
Abstrakt: We consider two negative exponential (NE) populations with unknown location parameters and unknown but unequal scale parameters. We develop fixed-width confidence interval (FWCI) estimation strategies for comparing the location parameters. First, we formulate a unified multi-stage estimation strategy and derive the theory for an asymptotic second-order (s.o.) expansion of the coverage probability as well as s.o. efficiency. Next, we successively specialize by providing a range of asymptotics associated with (i) purely sequential, (ii) parallel piecewise sequential, (iii) accelerated sequential, and (iv) three-stage strategies. Theoretical findings are supplemented by simulations and real data illustrations from head and neck cancer research. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: