Non-Parametric Estimation of Survival Function for Road facilities using General Measurement Data

Abstract

This study proposes a non-parametric estimation method of the survival function using general measurement data. We have proposed an estimation method using measurement data based on the LBS (Length-biased Sampling), assuming the observation opportunity is continuously as well as uniformly distributed. This study relaxes this assumption and propose a method that can be applied to more general measurement data. However, this study does not consider left-censored data. Compareing the proposed LBS method with one based on NS (Natural Sampling), it is revealed that the likelihood function to be maximized is the same for both methods under the uniform measurement. Lastly, the proposed method is validated and the applicability of the method in practice is discussed.