Sequential slippage tests using Robbins-Lai's invariant confidence sequences

Abstract

The paper deals with two kinds of location-slippage testing problems.The alternative hypothesis says that there is a single slippage in one kind of problems,and that there are multiple slippages in the other kind. In a location slippage model, by using Robbins' inequality, Robbins-Lai's invariant confidence sequences for slippage are constructed for both of the problems and sequential slippage tests using those confidence sequences are proposed.

Keywords:

• Location slippage model
• Robbins inequality
• Robbins-Lai's invariant confidence sequence
• sequential slippage test