Note on the closed-form MLEs of k-component load-sharing systems

TL;DR

This paper derives closed-form maximum likelihood estimators for two load-sharing models, simplifying the inference process compared to previous iterative numerical methods.

Contribution

It provides the first explicit closed-form MLEs for the load-sharing models proposed by Kim and Kvam (2004) and Singh et al. (2008).

Findings

Closed-form MLEs are derived for both models.

Simplifies parameter estimation process.

Eliminates need for iterative numerical methods.

Abstract

Recently Kim and Kvam (2004) and Singh, Sharma, Kumar (2008) proposed different load-sharing models and developed parametric inference for the these models. However, their parametric estimates are calculated using iterative numerical methods. In this note, we provide the general closed-form MLEs for the two load-sharing models provided by them.