6533b7defe1ef96bd1275bcc

RESEARCH PRODUCT

Sequential estimation of a location parameter and powers of a scale parameter from delayed observations

Jerzy BaranAgnieszka Stępień-baran

subject

Statistics and ProbabilityMathematical optimizationSequential estimationLocation parameterStopping timeApplied mathematicsFunction (mathematics)Statistics Probability and UncertaintyInvariant (mathematics)Convex functionScale parameterShape parameterMathematics

description

The problem of sequentially estimating a location parameter and powers of a scale parameter is considered in the case when the observations become available at random times. Certain classes of sequential estimation procedures are derived under an invariant balanced loss function and with the observation cost determined by a convex function of the stopping time and the number of observations up to that time.

https://doi.org/10.1111/stan.12006