Title: A new right-skewed loss function in process risk assessment

Authors: Onur Köksoy; Pelin Ergen; Melis Zeybek

Addresses: Department of Statistics, Ege University, Izmir, Turkey ' Department of Statistics, Ege University, Izmir, Turkey ' Department of Statistics, Ege University, Izmir, Turkey

Abstract: Due to globalisation, competitive companies realise that providing a more reliable, predictable, and robust product/process is a prerequisite for satisfying their customers and running a successful operation. Many quality improvement techniques focus on reducing process variation in line with the 'loss to society' concept. The widespread use of loss functions in industrial applications has increased their popularity with different loss-handling features. Developments relating to the inverted probability density functions (PDFs) have allowed the application of particular loss functions in a wide range. This paper presents the inverted Wald loss function as a new member of the inverted probability loss family. The important features of the proposed right-skewed loss function are discussed, and the risk functions associated with some process distributions of interest are obtained. Moreover, the proposed loss function and its performance are illustrated on the basis of a comparative study and an industrial example, including the monitoring of loss. [Received: 22 May 2018; Revised: 11 August 2018; Revised: 29 October 2018; Revised: 14 January 2019; Accepted: 23 January 2019]

Keywords: asymmetric quality loss functions; inverted Wald loss function; IWLF; risk function; inverted probability loss functions; Wald distribution.

DOI: 10.1504/EJIE.2019.100928

European Journal of Industrial Engineering, 2019 Vol.13 No.4, pp.536 - 551

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 27 Jun 2019 *

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